Plot point F where angle alpha is located.
Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.
alpha = x+80
Answer: Choice Dpls help with mathmatics
Answer:
answer is B . in order to make the triangles congruent the angle A and angle A'
Answer:
a and b
Step-by-step explanation:
percent increase formula
A = old value
B = new value
C = percent change
C = [ (B-A)/A ] * 100%
---------------------
Example:
Lets say we start at A = 10 and increase to B = 15. The percent change would be...
C = [ (B-A)/A ] * 100%
C = [ (15 - 10)/10] * 100%
C = (5/10) * 100%
C = 0.5 * 100%
C = 50%
The positive C value means we have a percent increase. Going from 10 to 15 is a 50% increase.
I need help please help
Answer:
m
Step-by-step explanation:
Answer:
Sin 73 = 0.956304756, Cos 17 = 0.956304756
Sin 18 = 0.3090169944, Cos 72 = 0.3090169944
This only works when the Sin angle and the Cos angle are complementary, meaning they add up to 90 degrees.
55+35=90
30+60=90
15+75=90
73+17=90
18+72=90
(Keep in mind the values for the Sin and Cos are approximations)
I hope this helped! :D
Bridgette bought 9 books about animals, 6 books about outer space, and 3 books about
trains. Each book cost $16. How much did Bridgette spend on the books?
Answer:
(9+6+3)×16=288
Step-by-step explanation:
add all the books and then multiple by the price of one book to get an answer
BRAINLIEST
HOW CAN POSTULATES AND THEOREMS RELATING TO SIMILAR AND CONGRUENT ANGLES BE USED TO WRITE A PROOF?
Answer:
How can postulates and theorems relating to similar and congruent triangles be used to write a proof? If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. ... If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Hope this helps :D good luck!!
Factor completely x3 + 8x2 − 3x − 24. (x − 8)(x2 − 3) (x + 8)(x2 + 3) (x − 8)(x2 + 3) (x + 8)(x2 − 3)
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
Given:
x³ + 8x² - 3x - 24
Find:
Factors
Computation:
x³ + 8x² - 3x - 24
x²(x + 8) -3(x + 8)
(x + 8) (x² - 3)
Factor of the given equation is (x + 8) (x² - 3)
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
Please answer this question now
Answer:
Surface area of a cone = 461.58 In²
Step-by-step explanation:
Surface area of a cone = πrl + or
Surface area of a cone = πr(r+l)
Where r = radius
Radius= diameter/2
Radius=14/2
Radius= 7 inch
And l slant height= 14 inch
Surface area of a cone = πr(r+l)
Surface area of a cone = π*7(7+14)
Surface area of a cone = 7π(21)
Surface area of a cone = 147π
Surface area of a cone = 461.58 In²
Find the value of x in each case:
Answer:
x = 36
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.
i. Determination of y
2x + y = 180 (angle on a straight line)
Rearrange
y = 180 – 2x
ii. Determination of z.
z + 4x = 180 (angle on a straight line)
Rearrange
z = 180 – 4x
iii. Determination of x
x + y + z = 180 (sum of angles in a triangle)
But:
y = 180 – 2x
z = 180 – 4x
Therefore,
x + y + z = 180
x + 180 – 2x + 180 – 4x = 180
Collect like terms
x – 2x – 4x = 180 – 180 –180
– 5x = – 180
Divide both side by – 5
x = – 180 / – 5
x = 36
Therefore, the value of x is 36.
Make the biggest possible number using the digits below only once 3 , 1 , 3 answer
Answer:
331 the biggest possible number
What are the factors of the quadratic function represented by this graph?
A.
(x − 1) and (x − 5)
B.
(x + 1) and (x + 5)
C.
(x − 1) and (x + 5)
D.
(x + 1) and (x − 5)
The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]
Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.
So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
To know more about quadratic equation follow
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Answer:
Check Screenshot
Step-by-step explanation:
If x^a=y^b=z^c and y^2=zx ,show that :. 1 by a + 1 by c = 2 by b.
Answer:
1/a + 1/c = 2/b
Step-by-step explanation:
.......................
Which is the exponential form of log3 x= 11?
Answer:
[tex]x = 3^{11}[/tex]
Step-by-step explanation:
relation between logarithmic and exponential form is given by
[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.
____________________________________________
[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]
Thus, exponential form is [tex]x = 3^{11}[/tex]
THIS HAS MULTIPLE QUESTIONS PLEASE ANSWER ASAP
Question 1 Solve the inequality. |d + 2| ≥ 6
Question 2 Solve the equation. If there is no solution, select no solution. 5|x+3/4|=10
Question 3 Solve the inequality. –2 < 4 x – 10 < 6
Answer:
Question 1: d ≥ 4 or d ≤ -8
Step-by-step explanation:
Question 1 Solve the inequality. |d + 2| ≥ 6
d + 2 ≥ 6 or d + 2 ≤ -6
d ≥ 4 or d ≤ -8
I need help on my math.
How would you define a pair of parallel lines?
Answer:
We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
Hope this helps <3
HELP!!!Where does the graph of y = sin x from x = 0 to x = 2π start? A. at its minimum B. at an x–intercept C. at its maximum D. between an x–intercept and its maximum
Answer:
B. at an x–intercept
Step-by-step explanation:
You can find a graph of the sine function in numerous places.
y = sin(0) = 0
y = 0 for x = 0
so, on the given interval, it starts at an x-intercept.
Pls help me !!! What is the area of rectangle
Answer:
B 48
Step-by-step explanation:
Ac=2AE, because AE=r, Ac=d, d=2r
Ac=2*5=10
The angle ADC is right, because it leans on the diameter AC,
find the leg DC, use the Pythagorus theorem
DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8
S= 6*8=48
find the value of x if the measure of angle 2 is 12x+4
Answer:
30
Step-by-step explanation:
From angle chasing, we know that the angle 2 is 180-56=124. So 12x+4=124, which means 12x=120 so x=30
What the correct answer now
Answer:
527.52 m²
Step-by-step explanation:
The surface area (A) of the cone is calculated as
A = area of base + curved area
= πr² + πrl ( r is the radius and l the slant height )
= 3.14 × 7² + 3.14 × 7 × 17
= 3.14 × 49 + 3.14 × 119
= 3.14(49 + 119)
= 3.14 × 168
= 527.52 m²
PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A
Answer:
2934.46692
Step-by-step explanation:
if you need to round it,
hundrenths: 2,934.47
tenths: 2,934.5
Thousandths: 2,934.467
Hope this helps!
Evaluate the expression 5^3
Answer: Five to the power of three (5*5*5) is equal to 125.
Hope this helps!
Answer:
125
Step-by-step explanation:
[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage.
Answer:
C. Quadratic model
Step-by-step explanation:
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Given:
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left with time= 1000 - 10×t
Where;
t = Time in minutes
Value of the corn = Amount of corn left × Price of corn
Value of the corn = (1000 - 10×t) × (5 + 0.15×t)
=(1000-10t) × (5+0.15t)
=5,000 + 150t - 50t - 1.5t²
= -1.5t² +100t + 5000
Value of the corn= -1.5t² +100t + 5000.
It is a quadratic model
20
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Area of the crowd?
A. Area = 3 feet x 3 feet
B. Area = 8 yards v 1 mile = (8 x 3 feet) x (1 x 5280 feet)
C. Area = 24 feet x 1 feet.
D. Area = 8 feet x 5280 feet
.
Answer:
B
Step-by-step explanation:
8 yards = 3 * 8 = 24 ft^2
1 mile = 5280
3*3 = 9 square feet
9 square feet holds 9 people.
1 square foot holds 1 person
8*3 * 5280 people could stand in an area of 8 yards * 1 mile
Though it's not quite correct, the answer is B
Usha had a balance of -$84. She worked for 6 days and put half the money in the bank. Now she has a balance of -$45. How much does Usha get paid each day for newspaper delivery?
Answer:
$13
Step-by-step explanation:
First, find how much she put into the bank:
84 - 45 = $39
Then, multiply this by 2 to find how much she made, because this was half of the money she got:
39(2) = 78
Then, divide this by 6 to find how much she makes a day:
78/6 = 13
= $13
Edwin works at a fast-food restaurant. Every Tuesday, he helps unload a delivery truck. This
table shows how many boxes of hamburger buns and how many boxes of potatoes he
unloaded last Tuesday,
What is the weight of each box?
Answer:
Each box of buns weighs 18 pounds and each box of potatoes weighs 35 pounds
Step-by-step explanation:
Let's say each bun box weighs b pounds and each potato box weighs p pounds. For each box of buns, we add b pounds. Therefore, for 40 boxes of buns, we add 40 * b pounds. Similarly, for 35 boxes of potatoes, we add 35 * p pounds.
For Tuesday, the total weight of the buns boxes is equal to 40 * b. The total weight of the potato boxes is equal to 35 * p. Adding these two together, we get the total weight of the boxes to be equal to
40 * b + 35 * p = 1945
For Friday, we can apply similar techniques to get
60 * b + 70 * p = 3530
We therefore have the two equations
40 * b + 35 * p = 1945
60 * b + 70 * p = 3530
One way to solve this would be to convert this into a matrix and use Guass-Jordan Elimination. With the amount of bun boxes representing the first column, the amount of potato boxes representing the second, and the total weight of each day representing the third, we have
[tex]\left[\begin{array}{ccc}40&35&1945\\60&70&3530\end{array}\right][/tex]
One thing that we can do here is multiply the first row by -2 and add it to the second. That way, there would be a 0 in the 2nd column in the 2nd row, making an equation of the form
something * b = something else, enabling us to solve for b.
We thus have
[tex]\left[\begin{array}{ccc}40&35&1945\\(-40*2+60)&(-35*2+70)&(-1945*2 +3530)\end{array}\right] = \left[\begin{array}{ccc}40&35&1945\\-20&0&-360\end{array}\right][/tex]
Therefore, we can say that
-20 * b = -360
divide both sides by 20 to isolate b
b = 18
Therefore, each box of bunds weighs 18 pounds. Plugging that into an equation, we have
40 * b + 35 * p = 1945
40 * 18 + 35 * p = 1945
720 + 35 * p = 1945
subtract 720 from both sides to isolate the p and its coefficient
1225 = 35 * p
divide both sides by 35 to isolate p
p = 35
Therefore, each box of potatoes weighs 35 pounds
the area of a parallelogram is 48cm².if the two adjacent sides are 8cm and 6cm, find the length of its diagonal .
Answer:
10cm
Step-by-step explanation:
Assuming the shape is a rectangle since it's already stated that it's a parallelogram, and the area is stated, we can use the Pythagorean theorem to find the length
[tex]a^{2} +b^2=c^2[/tex], where c will be the length
isolate c
[tex]c^2=a^2+b^2[/tex]
[tex]c=\sqrt{a^2+b^2}[/tex]
substitute for a and b
[tex]c=\sqrt{8^2+6^2}[/tex]
[tex]c=\sqrt{64+36}[/tex]
[tex]c=\sqrt{100}[/tex]
[tex]c=10[/tex]
24. Three minus four times a number is equal to ten times a number plus ten.
25. Four times the quantity of three times c plus 5 is equal to 8.
26. Six less than two thirds of a number is negative ten. Find the number.
27. Twenty-nine is thirteen added to four times a number. What is the number.
Answer:
(24) 3 - 4b = 10c + 10
(25) 4(3c+5) = 8
(26) - 6
(27) 4
Step-by-step explanation:
These questions require that words are translated into equations and then may be solved.
(24) Three minus four times a number is equal to ten times a number plus ten.
let the first number be b.
(a)Three minus four times a number ... can be represented as:
3 - (4 x b) = 3 - 4b
(b) ...ten times a number plus 10
let the other number be c. Therefore we have;
(10 x c) + 10 = 10c + 10
Now, three minus four times a number is equal to ten times a number plus ten means that expressions in (a) and (b) above are equal. i.e
3 - 4b = 10c + 10
(25) Four times the quantity of three times c plus 5 is equal to 8.
(a) four times the quantity of three times c plus 5 can be represented as
4 x (3 x c + 5) = 4(3c + 5)
(b) ... is equal to 8. This means that the expression in (a) is equal to 8.
4(3c + 5) = 8
(26) Six less than two thirds of a number is negative ten. Find the number.
(a) six less than can be represented as:
- 6
(b) two thirds of a number can be represented as
([tex]\frac{2}{3}[/tex])x [where x is the number]
(c) six less than two thirds of a number can thus be written as;
([tex]\frac{2}{3}[/tex])x - 6
(d) ... is negative 10 means that the expression is (c) above is equal to -10. i.e
([tex]\frac{2}{3}[/tex])x - 6 = -10
(e) Find the number.
The number can be found by solving for x in the expression in (d) above.
([tex]\frac{2}{3}[/tex])x - 6 = -10 [multiply through by 3]
2x - 18 = -30 [collect like terms]
2x = -30 + 18
2x = -12 [divide both sides by 2]
x = - 6
Therefore, the number is -6
(27) Twenty-nine is thirteen added to four times a number. What is the number.
(a) ... thirteen added to four times a number can be written as:
13 + 4b [where the number is b]
(b) Twenty-nine is thirteen added to four times a number means that the 29 is equal to the expression in (a) above. i.e
29 = 13 + 4b
(c) Find the number.
The number can be found by solving for b in the expression in (b) above. i.e
29 = 13 + 4b [collect like terms]
4b = 29 - 13
4b = 16 [divide both sides by 4]
b = 4
Therefore, the number is 4.
Which statement about this figure is true ?
a. it has reflection al symmetry with one line of symmetry
b. it has no rotational symmetry
c. it has no rotational symmetry with an angle of rotation of 90 degrees
d. it has no reflectional symmetry
The statement that is true about the given figure, a limaçon, is c. It has no rotational symmetry, with an angle of rotation of 90 degrees.
Let's examine each option and explain why they are true or false:
a. It has reflectional symmetry with one line of symmetry: This option is false. To have reflectional symmetry with one line of symmetry, the figure must be identical on both sides when divided by a line. The given figure, a limaçon, does not exhibit this property.
b. It has no rotational symmetry: This option is true. Rotational symmetry means that the figure remains unchanged after rotation by certain angles. The limaçon does not have any rotational symmetry because it does not appear the same after any rotation.
c. It has no rotational symmetry, with an angle of rotation of 90 degrees: This option is true. A figure with rotational symmetry of 90 degrees would appear the same after a 90-degree rotation. However, the limacon does not exhibit this property.
d. It has no reflectional symmetry: This option is true. Reflectional symmetry requires the figure to have a line of symmetry dividing it into two identical halves. The limaçon does not possess such a line of symmetry.
Based on the explanations above, the correct statement is that the limaçon has no rotational symmetry with an angle of rotation of 90 degrees (option c).
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Solve for b.
ab+c=d
b=a+c/d
b= a/(c-d)
b = (d - c)/a
Answer:
[tex]b = \frac{(d-c)}{a}[/tex]
Step-by-step explanation:
ab + c = d
Subtract c from both sides
ab + c - c = d -c
ab = d - c
Divide both sides by 'a'
[tex]\frac{ab}{a}=\frac{d-c}{a}\\\\b = \frac{(d-c)}{a}[/tex]
Answer:
b = (d - c)/a
Step-by-step explanation:
just took this test
Which expression has been simplified INCORRECTLY? * 1 point - (-9) = 9 - (+9) = -9 + (-9) = -9 + (+9) = -9
Answer:
+ (+9) = -9
Step-by-step explanation:
- (-9) = 9 A negative times a negative is a positive
- (+9) = -9 A negative times a positive is a negative
+ (-9) = -9 A positive times a negative is a negative
+ (+9) = -9 A positive time a positive is a positive