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velikii [3]
3 years ago
7

In this diagram, ABAC – AEDF. If the

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

Area of ∆EDF = 9.6 in.²

Step-by-step explanation:

Given:

∆BAC ~ ∆EDF

Area of ∆BAC = 15 in.²

EF = 4 in.

BC = 5 in.

Required:

Area of ∆EDF

SOLUTION:

The ratio of the area of two similar shape = the ratio of the square of their corresponding side lengths

Let x represent the area of ∆EDF

Therefore:

15/x = 5²/4²

15/x = 25/16

Cross multiply

x×25 = 15×16

25x = 240

Divide both sides by 25

x = 240/25

x = 9.6

Area of ∆EDF = 9.6 in.²

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Please answer correctly !!!!! Will mark brainliest !!!!!!!!!
Brut [27]

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

2x+1

The width is 2x+1

5 0
3 years ago
Read 2 more answers
Paulo is designing two gardens shaped like similar triangles. one garden has a perimeter of 53.5 feet, and the longest side is 2
velikii [3]
X/32.1 = 25/53.5
x = 25/53.5 × 32.1
x = 5/10.7 × 32.1
x = 15

The longest side of second garden is 15 feet
4 0
3 years ago
the value of y is directly proportional to the value of x. if y=35 when x=140,what is the value of y when x=70
Goryan [66]
Y = kx, where k is the constant of proportionality.

We need to find k as our first step.

35 = k140

35/140 = k

1/4 = k

We can now find y when x = 70.

y = kx

y = (1/4)(70)

y = 70/4

This fraction can be simplified or reduced more.

The number 2 is the GCF of 70 and 4.

70 ÷ 2 = 35

4 ÷ 2 = 2

Answer:

y = 35/2
7 0
3 years ago
Help me on this please
mart [117]
Lol just did that myself XD

Rewrite to (6/3) * (10^7/10^4)
(the division of same base numbers with exponents is subtraction of exponents)
so
2 * 10^3

Hope this helps :)
3 0
4 years ago
In A ABC, m ZA = 36°, m ZB = 45°, and m ZC = 99º. Which statement
castortr0y [4]

Answer:

The true statement is AB > CA > BC ⇒ D

Step-by-step explanation:

In any triangle, the longest side in length is the opposite to the greatest angle in the measure, and the shortest side in length is opposite to the smallest angle in the measure.

Let us solve the question

∵ ABC is a triangle

∵ m∠A = 36°

∵ m∠B = 45°

∵ m∠C = 99°

→ That means C is the greatest angle and A is the smallest angle

∴ ∠C is the greatest angle and ∠A is the smallest angle

∴ The arrange of the measures of the angles is m∠C > m∠B > m∠A

∵ AB is the opposite side of ∠C

∴ AB is the longest side

∵ BC is the opposite side of ∠A

∴ BC is the shortest side

∵ CA is the opposite side of ∠B

∴ The arrange of the lengths of the sides is AB > CA > BC

∴ The true statement is AB > CA > BC

6 0
3 years ago
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