Answer:
x = 15°
Step-by-step explanation:
Complementary angles are two angles whose sum = 90°
∠A + ∠B = 90°
3x + 45 = 90
3x = 45
x = 45/3
x = 15°
The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.
<h3>What is a triangle?</h3>
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.
Triangle is a very common figure to deal with in our daily life.
It is known that the sum of all three angles inside a triangle will be 180°.
So, m∠A + m∠B + m∠C = 180°
m∠C = 180° - 58° - 44°
m∠C = 78°.
The exterior angle of C = 180- 78 = 102°.
Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".
For more about triangles,
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Answer as an improper fraction = 13/8
This is equivalent to the mixed number 1 & 5/8
In decimal form, 13/8 = 1.625
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Work Shown:
3/4 = (3/4)*(2/2)
3/4 = (3*2)/(4*2)
3/4 = 6/8
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7/8 + 3/4
7/8 + 6/8
(7+6)/8
13/8
So 7/8 + 3/4 = 13/8
Answer:
B. 13
Step-by-step explanation:
Solve this by setting up system of equations:
0.25x + 0.10y = 3.95
x + y = 20
x equals the number of quarters and y equals the number of dimes. 0.25 is the value of a quarter and 0.10 is the value of a dime.
1. Multiply one equation to have the same coefficient as the other
0.10 · (x + y = 20) = 0.10x + 0.10y = 2
2. Subtract to find the value of one variable
0.25x + 0.10y = 3.95
<u>- 0.10x + 0.10y = 2</u>
0.15x = 1.95
3. Solve for x by dividing both sides by 0.15
x = 13
