Answer:
YES
Criteria: SAS criterion
∆EFJ ≅ ∆HFG
Step-by-step explanation:
Side EF in ∆EFJ ≅ side HF in ∆HFG (corresponding sides)
Side FJ in ∆EFJ ≅ side FG in ∆HFG (corresponding sides)
Also,
<F in ∆EFJ ≅ <F in ∆HFG (vertical angles are congruent)
Thus, two sides and one included angle of ∆EFJ are congruent to two corresponding sides and an included angle of ∆HFG.
Therefore, by the SAS Congruence Theorem, ∆EFJ ≅ ∆HFG.
Please give the right answer and show work if possible
Answer:
14
Step-by-step explanation:
Sin(∅) = Opposite angle ÷ hypotenuse.
Sin (45) = 7[tex]\sqrt{2}[/tex] ÷ hypotenuse
hypotenuse = 7[tex]\sqrt{2}[/tex] ÷ sin(45)
*********************
Keep in mind
sin(45) = √2÷2
*********************
so we have: Hypotenuse = 7√2 ÷ (√2÷2)
Hypotenuse= 14.
What is the 2nd step when simplifying this expression HELP PLSSS
50 + 72 (10) – 4
10 minus 4
14 times 10
50 plus 49
49 times 10
Please helppp!!!!!
Find x
Answer:
x = 35
Step-by-step explanation:
2x+10 + 2x + x-5 = 180
5x + 5 = 180
5x = 175
x = 35
1) (2 points) Imagine a 21-gonal prism. How many total faces does this prism have? Provide a clear
and detailed justification for your answer, using appropriate vocabulary, that does not rely on a
formula.
Answer: There are 23 faces total.
Explanation:
This is because there are 21 lateral faces, each of which are a rectangle. Then there are the 2 base faces which are each 21-gons. A 21-gon is a 21 sided polygon. So we have 21+2 = 23 faces total.
[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]
Step-by-step explanation:
Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]
Let's simplify the equation :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]
In a bag with 8 red, 2 white, 4 yellow, and 7 green marbles, what is the ratio of GREEN to WHITE marbles? Write your answer in colon (:) form.
Tia made 320 beignets for an office Mardi Gras party. If the 45 guests each ate the same number of beignets, how many did
each eat? How many beignets were left?
Each of the guests gets 7 beignets and 5 beignets will remain.
Given that,
Tia made 320 beignets for an office Mardi Gras party.
If the 45 guests each ate the same number of beignets how many did each eat and How many beignets were left Is to be determined
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Tia made 320 beignets for an office Mardi Gras party.
Total beignet = 320
number of guests = 45
Each ate the same number of beignets, Divide 320 by 45 the quotient will be the number of beignets eaten by the guest and the remainder will be the remaining beignets
While dividing 320 by 45
Quetient = 7 and remaimnder = 45
Thus, each of the guests gets 7 beignets and 5 beignets will remain.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
In the figure below, \overline{XZ}
XZ
start overline, X, Z, end overline is a diameter of circle AAA.
What is the arc measure of minor arc \stackrel{\large{\frown}}{YZ}
YZ
⌢
Y, Z, start superscript, \frown, end superscript in degrees?
Answer:
the answer is 59 (I got it on khan academy)
Step-by-step explanation:
59 degrees is the measures of the minor arc YZ if diameter of a circle is XZ
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that diameter of a circle is XZ
We have to find the measure of arc YZ.
11w+5w+4=180
Add the like terms
16w+4=180
Subtract 4 from both sides
16w=176
Divide both sides by 16
w=176/16
w=11
Now plug in w value of yz
yz=5w+4
=5(11)+4
=55+4
=59 degrees
Hence, 59 degrees is the measures of the minor arc YZ.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
HOMEWORK HELP!
model this sine function into a cosine function.
sine function: 67.5sin12(x-7.5)+67.5
Answer:
67.5sin12(x - 7.5) + 67.5
= 67.5[sin 12(x - 7.5) + 1]
= 67.5[sin(12x - 90) + 1]
= 67.5[ sin(12x)cos90 - cos(12x)sin90 + 1]
= 67.5[ -cos12x + 1]
= 67.5 - 67.5cos12x
Step-by-step explanation:
Answer:
that is by graph and solving steps
Step-by-step explanation:
hope it helps
Giorgio has determined that 19% of the thousands of photos of rainbows posted to a website show
double rainbows. Let R be the number of rainbow photos Giorgio looks at until a photo shows a double
rainbow. Assume that the images in each photo are independent.
Find the mean and standard deviation of R.
Answer:
5.3 photos
4.7 photos
Reasoning: Khan academy
at the end of the day, oranges at a farm market sell for $2.25 per pound and baskets cost $4.00. if serena wants to buy a basket and spend at most $22 total, how many pounds of oranges can she buy
Answer:
So if im entirely correct you said
Step-by-step explanation:
deeznutz
Review the graph.
On a coordinate plane, a vector has origin (0, 0) and terminal point (negative 2, negative 1).
What is the approximate direction angle of the vector shown?
Group of answer choices
207°
63°
243°
27°
Answer:207
Step-by-step explanation: i just am really good at math
Check my work?
i’ll mark brainliest:)
yes, you’re right. .
Answer:
looks good to me good job! :D i need 4 brainlits
Step-by-step explanation:
What is a counterexample for 3/4 and 6/8
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
Percent change when a price of £50 is decreased to £48
Answer:
4%
Step-by-step explanation:
help me please and thank you! <3
Answer:
its the third answer. 4×3=12 and 3x5=15 so 12+15=27
checK if x=2 is a solution of a) 7x+5=21 b 2*-2=2
Answer:
First, substitute x for 2 in 7x+5=21.
7 * 2 = 14 + 5 = 19
x = 2 is not a solution of 7x+5=21.
what dose 76 ÷ 5675 ≈ ( 655±3456)≈
Answer:
0.01339207048
Step-by-step explanation:
In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?
Answer:
The propability would be 4/26 students who failed the test but completed the
homework
Step-by-step explanation:
The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,
Given,
Total number of students = 26 students
Number of students who completed the assignment = 18 students
Number of students who pass the test and also completed the assignment = 15 students
Number of students who completed the assignment and fail the test = 18 -15 = 3 students
Then,
Probability = Number of favorable outcome / Total number of outcome
Probability that a student who failed the test completed the homework = [tex]\frac{3}{26}[/tex]
Hence, The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]
Learn more about Probability here
https://brainly.com/question/11234923
#SPJ2
Michael paid $10 for a six-pack of socks at the store. How much would one pair of those socks cost?
PLEASE HELP ME THIS IS DUE ON MONDAY!!
1: You go to a car dealership and want to buy a car that is $18000. What you don't know is that the car has a discount of 20% off. How much would you pay for the car with the discount?
2: you go to the store to buy a coat that normally costs $125. You have a coupon for 15% off but after the discount you have to pay 5% sales tax. How much will you end up paying for the coat?
3: What is 17/39 as a decimal?
4: You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?
5: When you have multiple percentage increases and/or decreases you can combine the percentages together to solve the problem.
(true or false)
Draw the improper fractions
Which of the following are magnitudes for rotational symmetry of the square below about the marked point?
Choose all answers that apply:
A : 45
B : 180
C : 270
D : None of the above
CCCCCCCCCCCCCCCCCCCCC
Answer:
b
Step-by-step explanation:
that was the right answer on khan academy
At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP
Answer:
Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better
Step-by-step explanation:
Simplify the Expression below (2x^2-5x+6)+(5x^2-3x+4)
Answer: 7x^2-8x+10
Step-by-step explanation: hope this helps gl :)
thx for the points
Answer:
[tex]7x^{2} -8x+10[/tex]
Step-by-step explanation:
[tex](2x^{2} -5x+6)\\[/tex] [tex]+\\[/tex] [tex](\\[/tex][tex]5x^{2} -3x+4[/tex][tex])\\[/tex]
[tex]=(2x^{2} +5x^{2} -5x-3x+6+4)\\=7x^{2} -8x+10\\[/tex]
which scatterplot represents the data given in the table which shows the number of apples in bags and the weights of the bags?
Answer:C
Step-by-step explanation: Because I took the pre test!
The scatterplot that represents the data given in the table is Scatterplot C.
Option C is the correct answer.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
From the table,
We see that,
Number of apples = 4 has weight 2lb and 3lb.
Number of apples = 5 has weight 2lb and 3lb.
Number of apples = 6 has weight 3lb and 5lb.
Number of apples = 7 has weight 4lb and 6lb.
Number of apples = 8 has weight 5lb and 7lb.
Now,
We see that in the scatter plot of option C, the table is represented.
Thus,
The scatterplot that represents the data given in the table is Scatterplot B.
Learn more about scatterplots here:
https://brainly.com/question/7219025
#SPJ3
there is a rope funning from a flag pole to a hoke in the ground the flag pole is 6 meters high and the hoke is 8 meters frome its base
for the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
14. distance to the closest movie theater
16. number of competing computer spreadsheet software packages
Answer:
14: quantitative continuous
16: quantitative discrete
Step-by-step explanation:
Distance can be any non-negative real number, hence it is continuous.
The number of packages has to be a positive integer, hence is discrete.
Hong received 3/8 of the 160 votes cast for class president. How many votes did he receive? Write your answer in simplest form.
Answer:
60 votes
Step-by-step explanation:
3/8 = ?/160
8x20 = 160
3x20 = 60
3/8 = 60/160
60 votes
plz plz plz HELP!
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b
Answer:
y=11x
Step-by-step explanation:
ΔX = 2 – 1 = 1
ΔY = 22 – 11 = 11