The interior angles next to the 2h angles are congruent and each one measures 70 degrees. Since the interior angle is 70 degrees the exterior angle is 110 degrees.
2h = 110
divide both sides by 2
h = 55
Answer:
Equation: 
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' = 
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8': 
'20 less than the number': n - 20
Set them equal to each other and solve: 
Add 20 to both sides: 
Subtract
from both sides: 
Multiply both sides by
: 
Solve for n: n = 112
Answer: C
Step-by-step explanation: Hope this help :D
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
<h3>What is an Angle Bisector ?</h3>
The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2
= 3.46 cm from O
To know more about Angle Bisector
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Answer:
$11.25
Step-by-step explanation:
When finding a discount that has a percentage, we have to multiply the amount of the specific item being discounted and the percentage of the discount. In this case, we have a forty-five dollar headset at a twenty-five percent discount rate. To find the price, multiply the amount of the headset by the percentage of the discount.
$45 * 25%
$11.25
Meaning that the price of the discount will be eleven dollars and twenty five cents.