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
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
A company currently has 200 units of a product on hand that it orders every 2 weeks when the salesperson visits the premises. De
disa [49]

Answer: 289 units

Step-by-step explanation:

Given the following :

Inventory (I) = 180

Lead time (L) = 7 days

Review time (T) = 2 weeks = 14 days

Demand (D) = 20

Standard deviation (σ) = 5

Zscore for 95% probability = 1.645

Units to be ordered :

D(T + L) + z(σT+L)

(σT+L) = √(T + L)σ²

= √(14 + 7)5²

= √(21)25

= 22.9

D(T + L) + z(σT+L) - I

20(14 + 7) + 1.645(22.9 + 7) - I

= 420 + 49.1855 - 180

= 289.1855

= 289 quantities

5 0
2 years ago
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are (4,
Fed [463]
*Hint: In order to find the coordinates, you plug in the coordinates into the rule and solve.

(x, y) → (x + 2, y - 8)
(4, -5) → (4 + 2, -5 - 8)
(6, -13)

The coordinates of B' is (6, -13).
8 0
2 years ago
Read 2 more answers
Shawna is making smoothies. The recipe calls for 2 parts yogurt to 3 parts blueberries. Shawna wants to make 10 cups of smoothie
vesna_86 [32]
20 cups yogurt and 30 cups blueberry
7 0
2 years ago
Benjamin finished his triathlon in 12.44 hours. During the race, he drank 460.28 fluid ounces of liquid. How many fluid ounces d
Yakvenalex [24]
So 12.44 hours=460.28 oz

divide
so
oz/hour means hour=1 so divide
460.28/12.44=37/1

the answer is 36 fluid ounces per hour
7 0
2 years ago
Other questions:
  • The circumference of the circle in the above figure is 128 ft. What is the length of AB?
    8·2 answers
  • Which of the following are in the correct order from least to greatest?
    7·2 answers
  • Find the sum and express it in scientific notation. 0.00348 + (6.2 x 10-2)
    5·2 answers
  • Given m with arrow = 3 î + 2 ĵ − 5 k and n with arrow = 6 î − 2 ĵ − 4 k, calculate the vector product m with arrow ✕ n with arro
    13·1 answer
  • A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1
    13·1 answer
  • In triangle △ABC, ∠ABC=90°, BH = altitude
    11·1 answer
  • Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to
    15·2 answers
  • Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
    14·2 answers
  • The classroom has 12 9/10 meters of tape in one area of the building, and 8 3/5 meters of tape in another part. How much tape do
    10·2 answers
  • The mass of 1/2pint of milk is 303 g.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!