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:
BC = 25
Step-by-step explanation:
AB = AC since it is an isosceles triangle
4x+1 = 2x+23
subtract 2x from each side
4x-2x+1 = 2x-2x+23
2x +1 = 23
subtract 1 from each side
2x+1 -1 = 23-1
2x = 22
divide by 2
2x/2 =22/2
x =11
BC = 3x-8
BC = 3(11) -8
BC =33-8
BC = 25
Answer:NE is hypotenuse
Step-by-step explanation:
Least common multiple=lcm
lcm(9,7)=63
126(8/9 + (x-4)/7 )=
126(7*8+9(x-4)/63=
126(56+9x-36)/63=
126(20+9x)/63= (126/63=2)
2(20+9x)=
40+18x
Answer: 126(8/9 + (x-4)/7 )= 40+18x
