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matrenka [14]
4 years ago
6

Help with this question please!

Mathematics
1 answer:
Andre45 [30]4 years ago
3 0

Answer:

\large\boxed{x=2,\ -2}

Step-by-step explanation:

\text{If the trapezoid EFGH is isosceles, then the angles}\ HEF\ \text{and}\ GFE\\\\\text{are congruent. Therefore}\ m\angle HEF=m\angle GFE.\\\\\text{We have the equation}\\\\4x^2+16=5x^2+12\qquad\text{subtract 16 from both sides}\\\\4x^2=5x^2-4\qquad\text{subtract}\ 5x^2\ \text{from both sides}\\\\-x^2=-4\qquad\text{change the signs}\\\\x^2=4\to x=\pm\sqrt4\\\\x=-2\ or\ x=2

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How can you use formulas you already know to find the area and perimeter of a composite figure? The six lane track shown in the
evablogger [386]

The area of the composite figure = 10,874.1 sq. m.

The perimeter of the composite figure = 406.9 m

<h3>What is the Area and Perimeter of a Rectangle and Circle?</h3>

Perimeter of a rectangle = 2(length + width)

Area of a rectangle = length × width

Perimeter of a circle = 2πr

Area of a circle = πr²

<h3>What is Area of the composite figure?</h3>

The figure is made up of two semicircles (1 full circle) and a rectangle.

Area of the composite figure = area of circle + area of rectangle

= πr² + length × width

r = 36.5 + 1.2 = 37.7 m

length = 85.0 m

width = 2(36.5) + 2(1.2) = 75.4 m

Substitute

Area of the composite figure = π(37.7)² + 85.0 × 75.4 = 10,874.1 sq. m.

<h3>What is Perimeter of the Composite Figure?</h3>

Perimeter of the composite figure = perimeter of circle + 2(length of the rectangle)

= 2πr + 2(L)

Plug in the values

= 2π(37.7) + 2(85.0)

Perimeter of the composite figure = 406.9 m

Learn more about composite figures on:

brainly.com/question/391747

6 0
2 years ago
Mr smith can travel 437 miles on 19 gallons of gas. how far can he travel on 1 gallon of gas
Amanda [17]
437/19=23
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5 0
3 years ago
Which of the following is equivalent to (x + 1)^2 ?
Greeley [361]

Answer:

x^2 +2x +1

Step-by-step explanation:

(x+1)^2

=(x+1)(x+1)

= x×x+x×1+1×x+1×1

=x^2+x+x+1

=x^2+2x+1

6 0
2 years ago
The elevation of a small submarine changes by -38 mile after each exploration. After how many explorations will the submarine's
Stella [2.4K]

Answer:

16/19

Step-by-step explanation:

\frac{1}{-38} =\frac{x}{-32}

x = 1 / -38 × -32

x = 16 / 19 or 0.8421052632

A full exploration will not be completed

8 0
4 years ago
Duff says that 10 times as many as 5 tens is 5 thousands. Is duff correct
nirvana33 [79]

Answer: My guess is hes incorrect,  its 500 because we know 5 tens is 50 and if we make it ten times 50 it is 500

4 0
3 years ago
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