answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8_murik_8 [283]
2 years ago
8

Given EP = FP and GQ = FQ, what is the perimeter of ΔEFG?

Mathematics
1 answer:
eduard2 years ago
5 0

x is  \frac{2y + 1}{2y - 3}

<u>Explanation:</u>

Given:

EP = FP

GQ = FQ

Since the sides are equal, the ΔFPQ and ΔFEG are similar.

According to the property of similarity:

\frac{FP}{PE} =\frac{FQ}{QG}

On substituting the value:

\frac{2x}{4y+2} = \frac{3x-1}{4y + 4} \\\\2x ( 4y + 4) = (3x-1)(4y+2)\\\\8xy + 8x = 12xy + 6x - 4y - 2\\\\4xy - 6x - 4y - 2 = 0\\\\2xy - 3x - 2y - 1 = 0\\\\2xy - 3x = 2y + 1\\\\x(2y - 3) = 2y +1\\\\x = \frac{2y+1}{2y-3}

Perimeter will be sum of all the sides. If y is known then substitute the value and then find the perimeter.

You might be interested in
Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect
Aliun [14]
G(x)=4x^2+40x
g(x)=4(x^2+10x)
g(x)=4(x^2+10x+25)-4(25)
g(x)=4(x+5)^2-100

the missing numbers that should be filled in the blanks are:
4, 5, 100
6 0
2 years ago
Read 2 more answers
Maria is making paper flowers as decorations for the fall dance. She has made 40 flowers so far, and she is 16% finished. If she
alexandr1967 [171]

Answer:

the number of additional she needed is 135

Step-by-step explanation:

The computation is shown below:

GIven that

40 flowers of 16%

So for 100% it would be

= 40 ×100 ÷ 16

= 250

Now she needs to make is

= 70% - 16%

= 54%

Now the additional would be

= 250 × 54%

= 135

Hence, the number of additional she needed is 135

5 0
2 years ago
Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar than recipe B call
vredina [299]

Answer:

Step-by-step explanation:

2c-1/3=4 1/6

(1/3 x 2= 2/6)

2c= 3 5/6

(6 x 3 + 5)

2c=23

c=11.5 or 11 1/2

6 0
2 years ago
Read 2 more answers
Pamela has4/5 pound of sunflower seeds if she gives 2/3 pound of sunflower seeds to the squirrels in her backyard what fraction
Assoli18 [71]
4/5-2/3= 12/15-10/15 (common denominator is 15)=2/15 pounds of seeds left
8 0
2 years ago
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown u
Anna [14]
• The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.

• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.

• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.

• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.

• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.


1. TRUE
2. False
3. TRUE
4. False
5. False
9 0
2 years ago
Read 2 more answers
Other questions:
  • Cookies are sold singly or in packages of 3 or 9. With this​ packaging, how many ways can you buy 18 ​cookies?
    11·2 answers
  • The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale. Grade 7 Grade 8 20 21 15
    7·1 answer
  • The growth of two plant saplings a and b were observed for for a period of 6 months
    5·1 answer
  • The polygons in each pair are similar. Find the missing side length.
    8·1 answer
  • Solve the following by factoring 4x² + 12 =7x
    14·1 answer
  • The average body mass index of children 9 years old is 18.4 with a standard deviation of 4.5. If it is known that the distributi
    13·1 answer
  • Susan has a part time job. She earns $7 an hour. She earns at most $143.50 a week. What is the greatest number of hours that she
    8·1 answer
  • If the area of the rectangle is given by the polynomial 2x^2-7x-15, what is the dimension of the reactangle in terms of x?​
    9·1 answer
  • George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 a
    10·2 answers
  • Use the table below to answer this question:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!