Answer:
x = 8
Step-by-step explanation:
Since < A and < B are vertical angles, then it means that they have the same measure.
Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:
We can set up the following equation to solve for the value of x:
m < A = m < B
(3x - 21)° = (2x - 13)°
3x - 21 = 2x - 13
Subtract 2x from both sides:
3x - 2x - 21 = 2x - 2x - 13
x - 21 = -13
Add 21 to both sides to isolate and solve for the value of x:
x - 21 + 21 = -13 + 21
x = 8
We must verify if we have the correct value for x by plugging in 8 into the equality statement:
(3x - 21)° = (2x - 13)°
[3(8) - 21]° = [2(8) - 13]°
(24 - 21)° = (16 - 13)°
3° = 3° (True statement. This means that we have the correct value for x).
Therefore, the value of x = 8.
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Answer:
1/6, 1/2, 5/9, 9/12, 2/3, 3/4, 17/18
Step-by-step explanation:
9/12 and 3/4 are equal
<span>It led to an intensification of the nuclear arms race. </span>
Answer: 149
Step-by-step explanation: <EDG = <EDF + <FDG
=86+66= 149
e know that the measure of arc in degrees is equals the measure of the central angle that intercepts the arc.
Now,the measure of arc EFG is given by Arc EFG=central angle EDG= 149
Answer:
0.75
Step-by-step explanation:
9/12 = 0.75
