Answer:
x = 16
Step-by-step explanation:
The two marked angles are supplementary:
(7x -2) +(4x +6) = 180
11x +4 = 180
11x = 176
x = 176/11 = 16
The value of x is 16.
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<em>Additional comment</em>
The angle on the left is 110°; the one on the right is 70°, so that answer checks.
These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.
Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.
Answer:
18
Step-by-step explanation:
<span>12*(4x−5)/52=10 if this is the equation
the value for x would be
x </span>≈ 12
Answer:
25
Explanation:
We are given the sequence formula expression;
ax = 3x + 4
You are to get the 7th term. This is gotten by substituting x = 7 into the expression as shown;
a7 = 3(7) + 4
a7 = 21 + 4
a7 = 25
Hence the seventh term of the sequence is 25
Answer:
x=8/9
Step-by-step explanation:
5x+2(x-3)=-2(x-1)
1) Distribute 2 to x and -3:
5x+2x-6=-2(x-1)
2) Distribute -2 to x and -1:
5x+2x-6=-2x+2
3) Combine alike terms:
7x-6=-2x+2
4) Add 2x to both sides:
9x-6=2
5) Add 6 to both sides:
9x=8
6) Divide both sides by 9:
x=8/9