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hram777 [196]
3 years ago
14

In Washington, D.C., Constitution Ave. meets Pennsylvania Ave. at a 25° angle. What is the measure of the complementary angle to

the angle formed by these two avenues?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0
By definition, the complementary angles are those that have a sum of 90° (Right angle). 

 The problem indicates that <span>Constitution Avenue meets Pennsylvania Avenue at a 25° angle. Then, the complementary angle is:

Complementary angle=90°-25°
Complementary angle=65°

 </span><span> What is the measure of the complementary angle to the angle formed by these two avenues?
</span><span>
 The answer is: T</span>he measure of the complementary angle to the angle formed by these two avenues is 65°.<span> </span>
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dusya [7]
ANSWER

B = 27.8 \degree

EXPLANATION

The law of cosine is given by the formula:

{b}^{2} = {a}^{2} + {c}^{2} - 2bc \cos(B)

From the diagram,

a=17, b=8, c=16

We substitute the given values into the formula to obtain:

{8}^{2} = {17}^{2} + {16}^{2} - 2(17)(16)\cos(B)

64 = 289+ 256- 544\cos(B)


64 = 545- 544\cos(B)


64 - 545 = - 544\cos(B)

- 481 = - 544\cos(B)

\frac{ - 481}{ - 544} = \cos(B)

cos(B) = 0.88419

B = \cos ^{ - 1} (0.88419)

B = 27.8 \degree
3 0
3 years ago
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Is cos 314 positive, negative or zero
Dafna1 [17]
Cos (314) = .694 is positive
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3 years ago
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Wittaler [7]

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

101 + 38 + x = 180

139 + x = 180

x = 180 - 139

= x = 41

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8 0
3 years ago
Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.
FromTheMoon [43]

Answer:

x=1.578

Step-by-step explanation:

Given equation is 3-x = 3(6x-9)

We need to find the value of x

3-x = 3(6x-9)

Distribute 3 in the right-hand side  

3-x=18x-27

Add both sides x

3-x+x=18x+x-27\\3=19x-27

Now, add both sides 27

3+27=19x-27+27\\30=19x

Divide both sides by 19

\frac{30}{19}=\frac{19x}{19}\\x=1.578

So, x=1.578

5 0
3 years ago
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its
prisoha [69]

Answer:

Length =

= 5/2 inches or 2 1/2 inches

Step-by-step explanation:

Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its length is 4 1 2 inches. What is the width of the foil? Explain your reasoning.

Area of rectangle = Length × Width

Widths = Area/Length

The area of the rectangular piece of foil 11 1/4 is square inches.

Its length is 4 1 /2 inches.

Hence:

Length = 11 1/4 /4 1/2

= 45/4 ÷ 9/2

= 45/4 × 2/9

= 5/2 inches

= 2 1/2 inches

6 0
3 years ago
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