Answers
The set of conditions results in a unique triangle is option 4.
The unique triangle :-
If you are given two angles and the length of a side between the angles, then you have a unique triangle.
From the options given,
The fourth option is having a 6-inch side between the angle 45° and 90°
Therefore, it is following the rule of ASA. therefore, giving a unique triangle.
Hence, the set of conditions results in a unique triangle is option 4.
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Related Questions
Suppose you borrow $197,500 on a 30 year adjustable rate mortgage loan. The fixed period is five years and the initial interest rate is 4.25%.
Question 2
Assume that you make all payments exactly as scheduled. How much will you owe at the end of the five year fixed period?
Answers
Answer:
Assuming that the loan has monthly payments, the total number of payments in the 30-year loan would be 30 x 12 = 360.
To calculate how much is owed at the end of the five-year fixed period, we need to first determine how much of the principal (the borrowed amount) will be paid off during that time.
Using an amortization calculator, we can determine that with a 4.25% interest rate and monthly payments of $972.38, the principal paid off after five years will be approximately $25,732.37.
At the end of the five-year fixed period, the remaining principal balance will be $197,500 - $25,732.37 = $171,767.63. This will be the amount owed at the end of the fixed period.
Step-by-step explanation:
what would the new ordered pair of M' be after reflecting the shape over the x-axis
Answers
Answer: The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. What is this?
Step-by-step explanation: I would hope this helps! a picture would better help me understand your question!!
Using the UIP equation, assume that the expected future rate (after one year) for euros (in terms of dollars) equals $1.20, while the current spot rate is 1.15. The current interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3%. Should you invest in:
a)the US
b) or in Europe?
c)It is indifferent
d)Neither one In Europe In the US
Answers
The current interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3% .You should invent in d)Neither one In Europe In the US.
Using the UIP (Uncovered Interest Parity) equation, we can determine whether it is better to invest in Europe or the US. The expected future exchange rate is $1.20/€, while the current spot rate is $1.15/€. The interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3%.
The UIP equation is given by:
(Expected future exchange rate - Current spot rate) / Current spot rate = (Interest rate in domestic currency - Interest rate in foreign currency)
In this case, the domestic currency is USD and the foreign currency is EUR. Plugging in the values, we get:
($1.20 - $1.15) / $1.15 = (0.03 - 0.02)
Solving for the equation:
0.0435 ≈ 0.01
The difference in interest rates (1%) is approximately equal to the expected appreciation of the euro against the dollar (4.35%). Therefore, according to the UIP equation, there should be no significant difference between investing in Europe or the US, as the potential returns are nearly equal when considering currency movements and interest rates.
In conclusion, based on the UIP equation, you can choose to invest in either Europe or the US, as the expected returns are similar. However, it is important to consider additional factors, such as risk tolerance and investment objectives, before making a final decision. The correct answer is d.
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The Federal Pell Grant Program gives grants to low-income undergraduate students. According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, the average Pell grant award for 2007-2008 was $2,600. We wonder if the mean amount is different this year for Pell grant recipients at San Jose State University. Suppose that we randomly select 50 Pell grant recipients from San Jose State University. For these 50 students, the mean Pell grant award is $2,450 with a standard deviation of $600. Let μ = the mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year. We test the following hypotheses. The sample size is greater than 30, so a t-model is a good fit for the sampling distribution. Use this information to answer the next two questions.
a. What is the t-test statistic? If necessary, round to two decimal places.
b. What is the P-value?
Answers
a. To find the t-test statistic, we first need to calculate the standard error of the mean using the formula: standard deviation / square root of sample size. In this case, the standard error of the mean is 600 / square root of 50, which is approximately 84.85.
Then, we can calculate the t-test statistic using the formula: (sample mean - hypothesized population mean) / standard error of the mean. In this case, the t-test statistic is (2450 - 2600) / 84.85, which is approximately -1.77.
b. To find the P-value, we need to consult a t-distribution table or use statistical software. Using a two-tailed t-test with 49 degrees of freedom (50-1), we find that the P-value associated with a t-test statistic of -1.77 is approximately 0.084. Therefore, there is a 8.4% chance of obtaining a sample mean of $2,450 or less if the true mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year is actually $2,600.
Note: A common threshold for statistical significance is a P-value of less than 0.05. Since the P-value in this case is greater than 0.05, we cannot reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year is different from $2,600.
a. To find the t-test statistic, we will use the following formula:
t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
Here, sample mean = $2,450, population mean = $2,600, sample standard deviation = $600, and sample size = 50.
t = ($2,450 - $2,600) / ($600 / sqrt(50))
t = (-$150) / ($600 / 7.071)
t = (-$150) / $84.85
t ≈ -1.77
The t-test statistic is approximately -1.77.
b. To find the P-value, we need to use a t-distribution table or software to determine the probability of obtaining a t-test statistic as extreme or more extreme than our calculated value. We are doing a two-tailed test, so we need to find the area in both tails.
Looking up the t-test statistic -1.77 in a t-distribution table with 49 degrees of freedom (sample size - 1), we find the P-value is between 0.05 and 0.10. For a more accurate P-value, use software or an online calculator.
So, the P-value is between 0.05 and 0.10.
Function [tex]y = f(x)[/tex] is continuous on [tex]R[/tex].
The function satisfy [tex]f(x)+x=\int\limits^2_0 {[f(x)-x]} \, dx[/tex]
∀[tex]x[/tex]∈[tex]R[/tex].
Find the value of m so that [tex]\int\limits^2_0 {[mx+f(x)]} \, dx=0[/tex].
A. m = -2
B. m = 0
C. m = -3
D. m = -1
Answers
The value of m so that the condition satisfies is -2, the correct option is A.
We are given that;
y=f(x) is continuous
Now,
To find the numbers c that satisfy the conclusion of the Mean Value Theorem, we need to solve the equation:
f’© = [f(2) - f(0)] / (2 - 0)
f’(x) = 8x - 2
f(2) = 4(2)^2 - 2(2) + 3 = 23
f(0) = 4(0)^2 - 2(0) + 3 = 3
f’© = (23 - 3) / (2 - 0)
f’© = 10
8m - 2 = 10
8m = 12
m = 12/8
m = -2
Therefore, by the given function the answer will be -2.
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A nature trail is 7/10 of a mile long’ lola has walked 1/5 of a mile so far, how many miles does she have left?
Answers
Step-by-step explanation:
Im a fifth grader so I gave it my best shot and there might be more steps to it but I'm pretty sure its 2/10
There are 7 apple pies.
All of the pies are the same size.
3 people will share the pies equally.
How much pie will each person get?
A.
3
7
of a whole pie
B.
3
4
of a whole pie
C.
4
3
of a whole pie
D.
7
3
of a whole pie
Answers
The fraction for the given situation is 7/3. Therefore, option D is the correct answer.
Given that, there are 7 apple pies.
3 people will share the pies equally.
Equal share of pie = Number of apple pies/Number of people
Equal share of pie = 7/3
So, the fraction is 7/3 of a whole
Therefore, option D is the correct answer.
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What is a area? /////////
Answers
Answer:
Area is the size of the surface. To get the area you multiply one side from the vertical edge and 1 from the horizontal
Step-by-step explanation: heres an example sorta pretend its full shape
i
27 i
i
i
____________
10
10x27=270
270 is the area
An area is the quantity showing how much an object has covered a space.
What is an area?Area is the size of a surface.
Area :-
Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.
The geometry of such a shape contains at least three sides joined together to form a boundary.
Symbolic representation of such space in mathematics refers to the “area” formula.
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Consider the three-place Boolean function f defined by the following rule:
For each triple
(x1, x2, x3)
of 0's and 1's,
f(x1, x2, x3) = (7x1 + 2x2 + 4x3) mod 2.
(a)
Find
fâ(1, 1, 1) and fâ(0, 0, 1).
fâ(1, 1, 1)
=
fâ(0, 0, 1)
=
(b)
Describe f using an input/output table.
Input Output
x1 x2 x3 f
1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0
Answers
Considering the three-place Boolean function f defined
(a) f(1, 1, 1) = (7(1) + 2(1) + 4(1)) and f(0, 0, 1) = (7(0) + 2(0) + 4(1))
(b) Using an input/output table f is an odd parity function.
A Boolean function is a mathematical function that takes input values and returns a binary output value. In the given problem, the three-place Boolean function f is defined by the rule (7x1 + 2x2 + 4x3) mod 2, where x1, x2, and x3 are binary inputs.
To find f(1, 1, 1), we substitute x1=1, x2=1, and x3=1 in the given function. Therefore, f(1, 1, 1) = (7(1) + 2(1) + 4(1)) mod 2 = 1.
Similarly, to find f(0, 0, 1), we substitute x1=0, x2=0, and x3=1 in the given function. Therefore, f(0, 0, 1) = (7(0) + 2(0) + 4(1)) mod 2 = 0.
To describe f using an input/output table, we consider all possible input combinations of x1, x2, and x3 and evaluate the function for each combination. The resulting input/output table is as follows:
Input Output
x1 x2 x3 f
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 0
From the input/output table, we can see that the function f returns 1 when the sum of 7x1, 2x2, and 4x3 is odd and returns 0 when it is even. Thus, we can conclude that f is an odd parity function.
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28. How do cyclic redundancy checks work?
Answers
Cyclic redundancy checks work by using a generator polynomial to calculate a unique value (CRC) based on the original data. This value is then appended to the data and verified by the receiver to ensure data integrity.
Cyclic Redundancy Checks (CRC) work as an error-detecting method used to ensure data integrity during transmission or storage. The process involves the following steps:
1. A predetermined polynomial (called the generator polynomial) is chosen for the CRC algorithm.
2. Before transmitting data, the sender divides the original data by the generator polynomial, using binary division.
3. The remainder obtained from the division is treated as the CRC value.
4. The sender appends the CRC value to the end of the original data, forming the transmitted message.
5. The receiver, upon receiving the message, performs the same binary division using the same generator polynomial.
6. If the remainder from the receiver's division matches the CRC value sent by the sender, it is assumed that the data is error-free.
7. If the remainder does not match, the receiver knows that an error occurred during transmission and can request the sender to retransmit the data.
In summary, cyclic redundancy checks work by using a generator polynomial to calculate a unique value (CRC) based on the original data. This value is then appended to the data and verified by the receiver to ensure data integrity.
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Look at how we construct a confidence interval for a population proportion. One sigma/(sqrt(n)) thing to notice is the effect of sample size on standard error which will effect
the length of the confidence interval. Larger sample sizes will lead to smaller standard errors.
hat p plus/minus z * sigma/(sqrt(n))
Is the following: True or False?
All other things being equal in constructing a confidence interval for a population proportion, the confidence interval constructed using a sample size of n = 500a compared to n = 200 will be a better estimate for the population proportion. That is, the confidence interval will have a shorter length.
True
False
Answers
The following statement is true. All other things being equal in constructing a confidence interval for a population proportion, the confidence interval constructed using a sample size of n = 500a compared to n = 200 will be a better estimate for the population proportion.
That is, the confidence interval will have a shorter length. A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence, based on a sample of data. It is commonly used in inferential statistics to estimate the range of values for a population parameter, such as a mean or proportion, based on sample data.
A confidence interval is typically represented by two values, an upper limit and a lower limit, and a confidence level, expressed as a percentage. The confidence level indicates the probability that the true population parameter falls within the interval. For example, a 95% confidence interval indicates that there is a 95% probability that the true population parameter falls within the interval.
The width of the confidence interval depends on the sample size, the variability of the data, and the chosen level of confidence. As the sample size increases, the width of the interval decreases, while increasing the level of confidence increases the width of the interval.
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What is the surface area of the cylinder with height 8 km and radius 7 km? Round your answer to the nearest thousandth.
Answers
Answer:
301.593
Step-by-step explanation:
surface area = circumference x height + 2 x circle area
= 4 x 2 x π x 8 + 2 x π x 4^2
= 25.1327412287 x 8 + 6.28318530718 x 16
= 201.06192983 + 100.530964915
= 301.592894745 ≈ 301.593
Serena is measuring the length of beetles for a science project .One beetle measures 4/5 cm and another measure 7/10 cm. What is the difference in the beatles length
Answers
The difference in the Beatles length is 1 / 10 centimetres.
How to find the difference in the beetles length?Serena is measuring the length of beetles for a science project .One beetle measures 4/5 cm and another measure 7/10 cm.
Therefore, the difference in the beetles length can be calculated as follows:
Hence,
difference between the beetles length = 4 / 5 - 7 / 10
difference between the beetles length = 8 - 7 / 10
difference between the beetles length = 1 / 10 centimetres
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Let A and B be two events. Suppose that P (A)=0.45 and P(B)=0.16.
(a) Find ,P(A or B) given that and are independent.
(b) Find ,P(A or B) given that and are mutually exclusive.
Answers
Answer: The answer is 0.16. i hope I helped you god bless you.
Step-by-step explanation:
Help me please I’m stuck
Answers
Answer:
Step-by-step explanation:
5 +2/10
since 5 is on outside you can just add them
You will construct the circumcenter. You will need to construct the perpendicular bisectors of AB, BC, and/or AC. Then find the intersection of the perpendicular bisectors to find the point that is equidistant to A, B, and C.
Answers
To construct the circumcenter of triangle ABC, we need to find the point that is equidistant to its three vertices A, B, and C. We can do this by constructing the perpendicular bisectors of the sides AB, BC, and AC, and finding their intersection point.
Here are the steps to construct the circumcenter:
Draw triangle ABC.
Construct the perpendicular bisectors of sides AB and BC. To do this, find the midpoint of each side (label them M and N, respectively), and draw a perpendicular line to each side that passes through its midpoint. Label the points where the perpendicular bisectors intersect AB and BC as P and Q, respectively.
Construct the perpendicular bisector of side AC using the same method. Label the point where this bisector intersects AC as R.
Draw lines connecting each vertex of the triangle to the intersection point of the perpendicular bisectors. These lines are the radii of the circumcircle.
The intersection point of the perpendicular bisectors is the circumcenter of triangle ABC. Label this point as O.
Now, we have constructed the circumcenter O of triangle ABC, which is the point that is equidistant to its three vertices A, B, and C.
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brainliest+100 points
read instructions
Answers
Answer:
16 i think
Step-by-step explanation:
Answer:
We know that
Area of rectangle: Length" Breadth
For Question
Area of respective Rectangle are:
A : 13*(x+12) ft²
B : 10*8=80ft²
C : (x+10)*7 ft²
D : (x+10)*(10-7)=(x+10)*3 ft2
E : 6*6 =36 ft²
F : 7*6= 42 ft²
G : (x+8)*(x+7) ft²
H : (3x+23)*(2x+17) ft²
I. : (2x+16)*(x+8) ft²
Find the area of the figure below
Answers
The area of the shape is 89m²
What is area of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The original shape is a rectangle and a triangle cut out from it.
The area of the shape = area of rectangle - area of triangle
area of rectangle = 13× 8
= 104m²
Area of the triangle = 1/2bh
= 1/2 × 5 × 6
= 5×,3
= 15m²
therefore area of the shape = 104-15 = 89m²
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In one week, a bakery made 1,244 trays of 26 chocolate chip cookies. The bakery also baked 694 trays of 19 sugar cookies. How many cookies did the bakery bake during the week?
Answers
The total number of cookies baked during the week if a bakery baked 1,244 trays of 26 chocolate chip cookies and also 694 trays of 19 sugar cookies are 336530.
To calculate the total number of cookies we have to find the number of chocolate chip and sugar cookies.
The total number of chocolate cookies is given by the product of the number of cookies in a tray and the number of trays.
Trays of chocolate chip cookies = 1244
Number of chocolate chip cookies per tray = 26
Total number of chocolate chip cookies = 1244 * 26
= 32344
Similarly, the total number of sugar cookies is given by the product of the number of cookies in a tray and the number of trays.
Trays of sugar cookies = 694
Number of sugar cookies per tray = 19
Total number of chocolate chip cookies = 694 * 19
= 13186
Total number of cookies = total number of chocolate chip cookies + sugar cookies
= 32344 + 13186
=336530
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Question 2 of 5
What is this expression in simplified form?
[tex]\sqrt[3]32[/tex]
Answers
32
32
as
4
2
⋅
2
42⋅2
.
3
√
4
2
⋅
2
342⋅2
Pull terms out from under the radical.
3
(
4
√
2
)
3(42)
Multiply
4
4
by
3
3
.
12
√
2
122
The result can be shown in multiple forms.
Exact Form:
12
√
2
122
Decimal Form:
16.97056274
…
Please help I need to show my work
Answers
from the picture above, we can see that the focus point of the parabola is at (2 , -4) and its vertex at (2 , -5), so the "p" distance from each other is just 1 unit, since the vertical parabola is opening upwards, that means "p" is positive or just p=1.
[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{p~is~negative}{op ens~\cap}\qquad \stackrel{p~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=2\\ k=-5\\ p=1 \end{cases}\implies 4(1)(~~y-(-5)~~) = (~~x-2~~)^2 \\\\\\ 4(y+5)=x^2+4x+4\implies 4y+20=x^2+4x+4 \\\\\\ 4y=x^2+4x-16\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x^2+x-4 \end{array}}[/tex]
A square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, what is the resulting cross section?
Answers
When a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon.
The square pyramid has a square base and four triangular faces, so when a plane passes through all five faces, it intersects each of the four triangular faces to form a trapezoid. These four trapezoids combine to form a pentagon.
The resulting cross-section can vary depending on the angle at which the plane intersects the pyramid. If the plane intersects the pyramid at a right angle to the base, the resulting pentagon will be a regular pentagon. If the plane intersects the pyramid at an angle, the resulting pentagon will be irregular.
In summary, when a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon, which can be regular or irregular depending on the angle of intersection.
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Your computer checks for new email messages every 15 minutes. If you sit
down at your computer at a random time, what is the probability you will have
to wait more than 5 minutes for the computer to check for new email
messages?
O 1/2
O 1/3
O 1/15
O 2/3
Answers
Answer:
The probability that you will have to wait more than 5 minutes is the same as the probability that you sit down during the first 10 minutes of the 15-minute interval. This probability is:
10 minutes / 15 minutes = 2/3
Therefore, the answer is 2/3.
Step-by-step explanation:
3
Victoria bought an area rug for her living room. The rug is a rectangle with
a width of 32 feet and a length of 60 feet. How much money will he spend
if carpet costs $5.35 per square foot?
Answers
Answer:
$10272
Step-by-step explanation:
You want the cost of a rug 32 ft by 60 ft at the rate of $5.35 per square foot.
AreaThe area of the rug is ...
32 ft × 60 ft = 1920 ft²
CostAt $5.35 per square foot, the cost is ...
(1920 ft²)($5.35/ft²) = $10,272
The cost of the area rug will be about $10,272.
A parallelogram has a base of 11 and a height of 11 what is the area?
Answers
Answer: 121
Step-by-step explanation:
Area of a parallelogram = base x height = 11 x 11 = 121
HELPPPPP
Sparrowtown Street and Seaside Avenue intersect. If the diagonal distance across the
intersection is 8 meters and Sparrowtown Street is 5 meters wide, how wide is Seaside
Avenue? If necessary, round to the nearest tenth.
Submit
meters
Answers
The wideness of Seaside Avenue is 6.2 meters wide.
How to find the wideness of the Seaside AvenueThe wideness is calculated using Pythagorean theorem
Let's call the width of Seaside Avenue "x".
The description matched a right triangle where the diagonal distance is the hypotenuse and the two legs are 5 and x. The using Pythagoras theorem we have that
5² + x² = 8²
Simplifying and solving for x
x² = 8² - 5²
x² = 39
x ≈ 6.2
Therefore, Seaside Avenue is approximately 6.2 meters wide.
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the value of [tex]\sqrt{x}[/tex] 97 is between what two numbers
Answers
The calculated value of the expression √97 is between 8 and 10
Evaluating the value of the expression in numbersFrom the question, we have the following parameters that can be used in our computation:
√97
The above expression is a radical expression, and at the same time it is an irrational number
This is because
Radicals are represented by square rootsSquare roots that are not perfect squares are irrational numbersWhen evaluated, we have
√97 = 9.848.....
This number is between 8 and 10
Hence, the value of the expression is between 8 and 10
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If z is a standard normal variable, find the probability.
The probability that z lies between 0 and 3.01
Group of answer choices
0.9987
0.1217
0.5013
0.4987
Answers
The probability that z lies between 0 and 3.01 is: 0.9987 - 0.5 = 0.4987 So, the answer is 0.4987. To find the probability that z lies between 0 and 3.01 for a standard normal variable, you need to look up the values in a standard normal (z-score) table or use a calculator with the normal distribution function.
For z = 0, the probability is 0.5 (due to symmetry of the standard normal distribution). For z = 3.01, the probability is approximately 0.9987. To find the probability between 0 and 3.01, subtract the probability of z = 0 from the probability of z = 3.01.
0.9987 - 0.5 = 0.4987
So, the probability that z lies between 0 and 3.01 is approximately 0.4987. Your answer is 0.4987.
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What is -7i + 4j in component form?
Answers
Answer: -7i + 4j in component form is (-7, 4).
Step-by-step explanation:
Help me find what X is
Answers
Answer:
x = 68°
Step-by-step explanation:
There is Two Option:
Option One: Looking at the side length we can determine that the triangle is an isosceles triangle. Which mean two angle/side are the same.
Use the Degree Angle to solve for x.
56 + 56 + x = 180
x + 112 = 180
x = 68°
Option Two: Using Law of Sine
[tex]\frac{A}{sin(A)}=\frac{B}{sin(B)} =\frac{C}{sin(C)}[/tex]
[tex]\frac{4.5}{sin(x)} =\frac{4}{sin(56)}[/tex]
[tex]sin(x)=\frac{sin(56)}{4} *4.5[/tex]
[tex]x=sin^{-1}(\frac{4.5*sin(56)}{4})[/tex]
x = 68°