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Nady [450]
3 years ago
13

Find the complement and the supplement of the given angle. 23°

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

Complement: 67°

Supplement: 157°

Step-by-step explanation:

Complementary angles = 90°

90-23=67°

Supplementary angles = 180°

180-23=157°

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A window is 21 inches wide, and its perimeter is 112 inches. What is the length of the window?
Kazeer [188]

Answer:

The length of the window is 35 inches.  

Step-by-step explanation:

Perimeter of an object can be found using the general formula:  P = 2W + 2L, where P = perimeter, W = width and L= length.  Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L':  112 = 2(21) + 2L, or 112 = 42 + 2L.  We can then use inverse (opposite) operations to isolate the variable and solve.  Whatever we do to one side of the equation, we do to the other.  We will start by subtracting 42 from each side:  112 - 42 = 42 - 42 + 2L or 70 = 2L.  Next, we divide both sides by 2 to solve for L:  70/2 = 2L/2 or L = 35.  So, the final length of the window is 35 inches.  

8 0
3 years ago
Lizet bought a bag of gummy bears and ate one-third of them. The next day, she ate 16 more gummy bears. If she ate a total of 37
pentagon [3]

Answer:

im trying to figure out the same thing

Step-by-step explanation:

6 0
2 years ago
Match the reasons with the statements in the proof.
notsponge [240]
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
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5 0
2 years ago
Read 2 more answers
Please Help. Find the area. Thank you
Andru [333]

Answer:

432 yd squared

Step-by-step explanation:

This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:

A = bh = (19 1/5) * (22 1/2)

To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:

A = 19.2 * 22.5 = 432

Thus the area is 432 yd squared.

Hope this helps!

7 0
3 years ago
Read 2 more answers
There is a bag filled with 3 blue, 4 red and 5 green marbles.
hjlf

Answer:1/12

Step-by-step explanation:

4 0
3 years ago
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