Answer:
Both equal 121 degrees
Step-by-step explanation:
Vertical angles are equal, and and 2 are indeed vertical angles. They are the "top" and "bottom" of the x formed. So you can use this.
angle 1 = angle 2
20x + 21 = 30x - 29
50 = 10x
5 = x
So just plug this in.
20x + 21
20(5) + 21
121
30x - 29
30(5) - 29
121
So both are 121.
5......................................
As both lines and triangles have to have complete 180 degrees, we can deduce that the other angle by C is 130 degrees, as 180-50 is 130. Then, we add 130 to the other 35 degrees we have in the triangle, resulting in 165 degrees. From there, as we know that triangles must have 180 degrees altogether, we can find the missing angle by calculating 180-165, which results in 15.
Therefore, we know that the missing angle is 15 degrees.
Regrouping in subtraction means that if you can't subtract because the digit on the bottom has a greater value than the digit on the top (such as 3-6)m so in this case you would have to regroup twice.
Answer:
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
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Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.
Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.
Simplify:
is your answer.
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