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Misha Larkins [42]
3 years ago
5

Darnelle drew this figure and the accompanying equations.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

w+x+y=180 ----> equation A

y+z=180 ----> equation B

equate equation A and equation B

w+x+y=y+z

Subtract y both sides

w+x=z

This equation satisfy the <em><u>Triangle Exterior Angle Theorem</u></em> (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

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The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet
Maru [420]

Answer:

Area = 1560ft^2

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

Area = \frac{1}{2}(Sum\ parallel\ sides) * Height

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

Area = \frac{1}{2}(68ft + 36ft) * 30ft

Area = \frac{1}{2}(104ft) * 30ft

Area = 52ft * 30ft

Area = 1560ft^2

5 0
3 years ago
Find m when 4^(m)*4^(2)=12
miv72 [106K]

Step-by-step explanation:

4^m * 4^2 = 12

4^(m + 2) = 4^(log4 12)

m + 2 = log4 (12)

m = log4 (12) - 2.

4 0
3 years ago
Factor -3/4 out of 3/2x - 9/4y
Vikki [24]

Answer:

-\frac{3}{4} \times (-2x +3y)

Step-by-step explanation:

To factor out -3/4 out of that equation, multiply and divide by -3/4.

Say ;

=\frac{3}{2}x -\frac{9}{4}y

=(\frac{3}{2}x -\frac{9}{4}y) \times \frac{-\frac{3}{4} }{-\frac{3}{4}}

Now, rearranging and making necessary commutations.

=-\frac{3}{4} \times (\frac{3}{2}x -\frac{9}{4}y) \times \frac{1 }{-\frac{3}{4}}

=-\frac{3}{4} \times (-2x +3y)

Factoring -3/4 we get an equation without any fractions

= -2x + 3y

3 0
3 years ago
Match each exponential function to the description of its percent rate of change. 22% growth 12% decay 2% decay 20% growth 20% d
makvit [3.9K]

The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.

Then we have the following:

1) 22% grow

y = a( 1 + 22%/100 )^x = a(1.22)^x

So the solution is: 124(1.22)^x

2) 12% decay

y = a( 1 - 12%/100 )^x = a(0.88)^x

So the solution is: y = f(x) = 44(0.88)^x

3) 20% decay

y = a( 1 - 20%/100 )^x = a(0.8)^x

So the solution is: f(x) = 22(0.8)

4) 12% Groth

y = a( 1 + 12%/100 )^x = a(1.12)^x

So the solution is: f(x) = 42(1.12)^x

4 0
3 years ago
A bakery has 4 trays with 16 muffins on each tray .the bakery has 3 trays of cupcakes with 24 cupcakes on each tray.If 15cupcake
Angelina_Jolie [31]
The Answer Of How Many Muffins And Cupcakes Are Left Is 121
6 0
3 years ago
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