If the following triangles are similar solve for x

If The Following Triangles Are Similar Solve For X

Answers

Answer 1

Answer:

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16


Related Questions

Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Heather says that she has enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches. Do you agree?

Answers

Answer:

Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Step-by-step explanation:

First, we will calculate the area of the piece of wood Heather has

Area (A) = Length (l) × Width (w)

From the question, l = 14 inches and w = 13 inches

A = 14 inches × 13 inches

A = 182 squares inches

Hence, the area of the piece of wood is 182 square inches

Now, we will calculate the total surface area of the box she desires to make

Area (A) of a box is given by

A = 2lw + 2lh + 2wh

Where l is the length

w is the width and

h is the height

She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.

i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches

∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)

A = 84.5 + 39 + 39

A = 162.5 square inches

Hence, the area of the box she wants to make is 162.5 square inches

Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Answer:

Yes

Step-by-step explanation:

Which of the following is the concept illustrated with the misentered​ data? A. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is less robust. B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample​ size, the less resistant the mean.​ Therefore, the confidence interval is more robust.

Answers

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Steve flipped a coin 10 times and recorded his results in this chart.

Part A: What is the THEORETICAL probability of the coin landing heads up?

Answers

Answer:

Step-by-step explanation:

actual over theoretical times 100 equals ur percentage

Most likely the answer would be 3/5.

Tim washed 15 cars in 3hours.how many cars can he wash In 7 hours?​

Answers

Answer:

35 cars

Step-by-step explanation: ok so here is how you do it you divide 15 and 3 to find out how much cars Tim washed in one hour so in this case we got 5 then we multiply the hours by 7 and we get 35 cars

Answer:

I believe the answer is 35.

Step-by-step explanation:

15+15=30

30+5=45

1 hour = 5 cars

3 hours = 15 cars

6 hours = 30 cars

7 hours = 35 cars

15 divided by 3 = 1

so yeah hope this helps you.

HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A) gemma puts 7 rocks into each of her 8 gardens

Step-by-step explanation:

answer: A

explanation: 8•7(56) is doubling seven eight times! so if you were to put seven rocks in eight gardens you will have 56!

please answer correctly, will give brainliest

Answers

Answer:

b

Step-by-step explanation:

Answer:

I think it’s B sorry if I’m wrong!

look at picture attack

Answers

Answer:

its 6.1

Step-by-step explanation:

so we use this formula to find it 950=4/3×3.14×r^3

Answer:

b. Radius is 6.1cm.

Step-by-step explanation:

R=(3xV/4π)^⅓

R=(3x950/4π)^⅓≈6.09834

R= 6.1cm

PLS PLS PLS HELP I will mark brainliest

Answers

Answer:

the volume of the green cube is 864 cubic inches the volume of the blue cube is 1440 cubic inches

Step-by-step explanation:

the volume of the green cube is 864 cubic inches the volume of the blue cube is 1440 cubic inches

(09.01)

Choose the equation below whose axis of symmetry is x = 2. (1 point)

O y=x²-2

O y = x2 - 4x + 2

O y = x2 + 4x + 2

O y=x²-4

Answers

Answer:

y = x2 - 4x + 2 ; y=x²-4

Step-by-step explanation:

Axis of symmetry = - b /2a

y=x²-2

a = 1 ; b = - 2

x = - (-2) / 2(1)

x = 2/2 = 1

y = x2 - 4x + 2

a = 1 ; b = - 4

x = - (-4) / 2(1)

x = 4/2 = 2

y = x2 + 4x + 2

a = 1 ; b = 4

x = - 4 / 2(1)

x = - 4/2 = - 2

y=x²-4

a = 1 ; b = - 4

x = - (-4) / 2(1)

x = 4/2 = 2

Answer:

y = x2 - 4x + 2 ; y=x²-4

Step-by-step explanation:

Joe drove for 5 hours and traveled a distance of 240 miles . Which is best estimate of the number of miles Joe will travel in 7.2 hours.

a. 400
b. 375
c. 350
d. 325

Answers

Answer:

c,because he drove 48 miles per hour multiply that by 7.2 get you 345.6 rounded to 350.

Step-by-step explanation:

Bob has two bags of coins.
The first bag has 3 nickels and 5
quarters. The second bag has 6
nickels and 2 quarters. Bob will
randomly select 1 coin from each
bag. What is the probability that
Bob will select a quarter from
each bag?


PLEASE HELP MEEEE

Answers

Answer: 40%

Step-by-step explanation: Get nae naed

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Answers

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

9514 1404 393

Answer:

  (x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

  8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

  8x -(3x -5) = 40

  5x +5 = 40 . . . . . eliminate parentheses

  x +1 = 8 . . . . . . . .divide by 5

  x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

  3(7) -5 = 6y

  y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

find the rate of change on the table

Answers

Answer:

51

Step-by-step explanation:

The retail price is 81% more than the original price. Hence, retail price = percent of original price

Answers

Answer: retail price x 1.81

Step-by-step explanation:

Price 100

Mark up is 81 percen

100 plus .81 equal 181

PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! WIll mark BRAINLIEST!!!!!!!!!!!!


The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?


A) Use the distance formula to find the length of each side, and then add the lengths.

B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.

C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.

D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answers

A) Use the distance formula to find the length of each side, and then add the lengths.

The answer is A) Use the distance formula to find the length of each side, and then add the lengths.

Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
4x^34x
3
4, x, cubed

(Choice B)
B
b=9b=9b, equals, 9

(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text

(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72

(Choice E)
E
x+y-\dfrac83x+y−
3
8

Answers

C is the answer I think if it’s not I’m sorry

Answer:

c b

Step-by-step explanation:

khan

I saw 8 sunflowers, 7 roses, and 2 lavender when I was walking outside.I collected them and decided to arrange them. How many different arrangements can I create?

Answers

Answer:

8 with a remander of 1

Step-by-step explanation:

What is the solution to the system below? x + 5y = 4
x - 5y = -16

(6,-2)
(2,-6)
(-6,2)
(-2,6)​

Answers

Answer:

(-6,2) third option is correct

Step-by-step explanation:

x+5y=4    equation1

x-5y=-16   equation 2

by adding both equations we got

2x=-12

x=-6

now put x=-6 in any of the equation to get y...

-6+5y=4  equation 1      

5y=4+6

5y=10

y=10/5

y=2

(-6,2)

Answer:

(-6, 2)

Step-by-step explanation:

Put (-6, 2) into eq1 and eq2

1. (-6) +5(2)= -6 +10 =4  

2.(-6) - 5(2)= -6-10 = -16

only one that works is (-6, 2)

Determine the intercepts of the line

Answers

Answer:

x-intercept (3;3)

y-intercept (0;-10)

20*20= 75 True or False

Answers

20x20=400__________________________________________________:)

Answer:

False

Step-by-step explanation:

LHS : -

20 x 20

= 400

is not equal to RHS.

find the inverse y=-1+1/5x pleaseee help

Answers

Answer:

there is no inverse

Step-by-step explanation:

to find the inverse you gotta interchange the variables and solve for y but it is 0 sooo there is no inverse, i believe.

Help Me! Will give brainliest. Hurry UP!

11-2m-[n+5+-m-3n+8
Simplify!
Awnsers:
m - 2n - 2
-m + 2n - 2
-3m - 4n + 14
3m - 4n + 14

Answers

The answer is:
-m+2n-2

Explanation:
11-2m-(n+5-m-3n+8)
11-2m-n-5+m+3n-8
11-5-8-2m+m+3n-n
-2-m+2n
-m+2n-2

Step-by-step explanation:

11-5-8-2m+m-n+3n

= -2-m+2n Answer

just change in order otherwise answer is correct you can correct....

Find the equation of the line pls help

Answers

Step-by-step explanation:

A(0,3) B(2,2)

[tex] \frac{y - 2}{4 - 2} = \frac{x - 2}{0 - 2} \\ \frac{y - 2}{2} = \frac{x - 2}{ - 2} \\ y - 2 = - x + 2 \\ y = - x + 4[/tex]

Two names for the angle formed by the dashed rays are? (I have to put down 3 letters)

Answers

Answer:

ZGK and DGS

Step-by-step explanation:

Evaluate the power: (−3)^4
A. 81
B. -81
C. 243
D. -331

Answers

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

[tex] {3}^{4} [/tex]

Simplify.

[tex]81[/tex]

hence, the answer is Option A) 81.

The power would be= A.) 81

I need help on this plz and thank you

Answers

Answer:

c.

Step-by-step explanation:

because probability is normally in fraction or decimal

Which of the following number cannot represent the 3 sides of a triangle?

{14,28,39}
{4,16,19}
{4,11,13}
{5,16,21}

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

d  5,16,21 Am sure I think

Step-by-step explanation:

Answer:

{5,16,21}

Step-by-step explanation:

sides of triangle: the sum of every two sides must be greater than the third sides.

{14,28,39}

=> 14 + 28 > 39, 14 + 39 > 28, 28 + 39 > 14  (correct)

{4,16,19}

=> 4 + 16 > 19, 4 + 19 > 16, 16 + 19 > 4 (correct)

{4,11,13}

=> 4 + 11 > 13, 4 + 13 > 11, 11 + 13, > 4 (correct)

{5,16,21}

5 + 16 not > 21 (wrong)

Help asap, need help on this math problem. Solve for x

Answers

Answer:

c. 25

Step-by-step explanation:

According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.

Thus:

3*x = 5*15

3x = 75

x = 75/3

x = 25


Gerald deposited $950 into two different accounts.
- He deposited $450 into an account that pays 4.5% interest compounded annually.
- He deposited $500 into an account that pays 4.25% simple interest.
If Gerald does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the amount of interest he will have earned in these accounts at the end of 4 years?

A. $1,121.63

B.$177.20

C.$171.63

D.$1,116.00


Answers

Answer:

C

Step-by-step explanation:

The interest is 166.52.

The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid. ​

Answers

Answer: B: 140.4

Step-by-step explanation:

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