1answer.
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
valina [46]
3 years ago
8

2. If GFE~GJH, find the value of FG. ​

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

  • 77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

<u>Use ratios to find the value of x:</u>

  • (4x - 5)/(x + 7) = 35/12.5
  • (4x - 5)/(x + 7) = 14/5
  • 5(4x - 5) = 14(x + 7)
  • 20x - 25 = 14x + 98
  • 20x - 14x = 98 + 25
  • 6x = 123
  • x = 123/6
  • x = 20.5

<u>Find the value of FG:</u>

  • FG = 4*20.5 - 5 = 77

You might be interested in
Two chicken coops are to be built adjacent to one another from 168 ft of fencing. What dimensions should be used to maximize the
Cerrena [4.2K]

Answer:

21 ft by 28 ft

Step-by-step explanation:

To maximize the area, see the attached.

Perimeter will be 4l+3w which is equal to the fencing perimeter, given as 168

4l+3w=168

Making l the subject then

4l=168-3w

l=42-¾w

Area of individual land will be lw and substituting l with l=42-¾w

Then

A=lw=(42-¾w)w=42w-¾w²

A=42w-¾w²

Getting the first derivative of the above with respect to w rhen

42-w6/4=0

w6/4=42

w=42*4/6=28

Since

l=42-¾w=42-¾(28)=21

Therefore, maximum dimensions are 21 for l and 28 for w

4 0
3 years ago
What is the length of a side cube with a volume of 729m3
shusha [124]
27 because said a cube teacher told me to do s time s that means square•square
6 0
4 years ago
NEED HELP ASAPPP!!!! Get brainlist!
tangare [24]

Answer:

394.9 cm

Step-by-step explanation:

The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).

r = radius

h = height

The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.

Plug in the values.

a(unknown)^2 + 6^2 = 15^2

A + 36 = 255

255 - 36 = 189

√189 ≈ 13.7

Surface area formula, plug in the values.

A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )

*PEMDAS*

A = 3.14 × 6 ( 6 + √36 + 187.69 )

A = 3.14 × 6 ( 6 + √223.69 )

A = 3.14 × 6 ( 6 + 14.95 )

A = 3.14 × 6 ( 20.96 )

A = 3.14 × 125.76

A = 394.8864

*round to nearest tenth*

A = 394.9 cm

Hope this helps! :)

8 0
3 years ago
Yasmin bought several items at the discount store. She paid 8.75 percent
Y_Kistochka [10]

The total amount of her purchase before tax was added is; $52.46

<h3>How to calculate discounted amount?</h3>

We are told that the percentage sales tax she paid on her purchase was 8.75% which translated to an amount of $4.59.

Now, let the amount of her purchase be x. Thus;

8.75% * x = $4.59

x = 4.59 * 100/8.75

x ≈ $52.46

Read more about Discounted amount at; brainly.com/question/7459025

#SPJ1

6 0
2 years ago
Kira, David, and Lamar served a total of 71 orders Monday at the school cafeteria. David served 9 fewer orders than Kira. Lamar
CaHeK987 [17]

Answer:

lamar served 40

kira served 20

david served

i just spent like 15 minutes trying to figure this out and when i finally got it i was so mad because it was such a simple error i was making

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Rewrite the expression by using grouping symbols. y • 4 + y • z
    15·1 answer
  • Find the slope of the line that contains the given pair of points ( 3, -10) and (-8 , -6)​
    7·2 answers
  • What is the equation of the line, in general from, that passes through the point (-1,-1) and is parallel to the line whose equat
    11·1 answer
  • 2 3 • 2 4 is equal to _____.
    7·1 answer
  • Create a line segment that is exactly 10 units in length and has a midpoint of (-3,4)
    14·1 answer
  • The temperature at 6:00 am was -12 degrees Fahrenheit. The temperature increased by 1/2 degree each hour for 6 hours. What was t
    8·1 answer
  • Visitors to a cinema are either children, adults or pensioners. The ratio for children to adult viewers is 1 : 2 The ratio of ad
    12·1 answer
  • What is the slope of the line of best-fit in the scatterplot below?
    8·1 answer
  • PLZZ HELP ME WORTH 35 POINTS
    8·2 answers
  • Help ASAP (find the area)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!