Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: 
Therefore, the third angle must have a measure of 62°.
Answer:
x=11
Step-by-step explanation:
Vertical angles are congruent, so m∠A = m∠B.
4x+8 = 5x-3
Subtract 5x from both sides.
-1x+8=-3
Subtract 8 from both sides to isolate the variable.
-1x=-11
Divide both sides by -1 to solve for x.
x=11
Plug in 11 for x into m∠A=(4x+8)=(4(11)+8)=(44+8)=52.
Any side that is greater than 7 + 7 = 14 will not make a triangle.
x > 14 will not create a triangle.
Answer:
37.36%
Step-by-step explanation:
Each year it increases 1.6%.
So year 1 it increases (1+1.6%), year 2 increases (1+1.6%)^2 and so on...
so after 20 years, overall increase is found by 1.016^20 = 1.3736 or increase of 37.36%
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Answer:
1 ray is intersecting point O
Step-by-step explanation:
A ray can be defined as a part of a line that has a fixed starting point but no end point.
AD and EC both go on forever but OB has one endpoint and goes on forever.