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2 years ago

Triangle ABC is congruent to triangle DFE. Find x

Mathematics

1 answer:

ale4655 [162]2 years ago

5 0

ΔABC ≡ ΔDFE

⇒ ∠DEF = ∠36°

Solve x:

3x - 6 = 36

3x = 42

x = 14

Answer: x = 14

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8 + 8( 8 - n ) = 40 + 8n

Ierofanga [76]

n=2

8+8(8-n)=40+8n (distribute 8 through the parenthesis)

8+64-8n=40-8n (add the numbers)

72-8n=40+8n (move the variable to the left side and change its sign)

72-8n+8n=40

-8n+8n=40-72 (connect like terms)

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2 years ago

Read 2 more answers

PLEASE HELP!! for 20 points What is the area of the composite figure?

belka [17]

Answer:

Step-by-step explanation:

Break the shape into smaller shapes, then solve:

Large Rectangle -> 4x8=32

Tiny Rectangle at the bottom ->2x3=6

Triangle at top can be broken into two right triangles ->

(4x2)(1/2)=4

Add: 32+6+4+4=46

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1 year ago

Use the segment tool to draw a rectangle with a length of 4 units and a height of 2 units. one of the sides of the rectangle fal

Naya [18.7K]

The best and most correct answer among the choices provided by the question is the first choice. Move segment mus be done to draw the rectangle. I hope my answer has come to your help. God bless and have a nice day ahead!

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3 years ago

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

$Y + 2X = 220$

$Y = 220 - 2X$

Area of a rectangle is determined by multiplying the length of perpendicular sides:

$Area = X*Y$

$Area = X(220 - 2X)$

$Area = 220X - 2X^{2}$

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

$f(a) = a^{b}$