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Answer:
x=33
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Step-by-step explanation:
Angles 7 and 8 are supplementary because they share a common vertex while laying on a line.
That is the measurement of angles 7 and 8 add up to be 180.
mAngle7+mAngle8=180
(2x+15) + (3x ) =180
2x+15 + 3x =180
Combine like terms:
5x+15 =180
Subtract 15 on both sides:
5x =180-15
Simplify right hand side:
5x = 165
Divide both sides by 5:
x =165/5
Simplify right hand side:
x =33
The measure of angle 7 is 2x+15=2(33)+15=66+15=81.
The measure of angle 8 is 3x=3(33)=99.
Recall vertical angles are congruent.
5 and 7 are vertical so the measure of angle 5 is 81.
6 and 8 are vertical so the measure of angle 6 is 99.
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Answer:
d = log 38/log31
d = 1.06
Step-by-step explanation:
31 ^ d = 38
Take log of both sides since the exponential equation have different base (always)
d log 31 = log 38
d = log 38 / log 31
d = 1.58 / 1.491
d = 1.06.
We can actually check to see if this is correct.
Substituting d = 1.06
31^ 1.06 = 38.092
(You see, that's approximately correct)
Keep learning, maths is fun!
1/8*44 = 1/4*22 = 1/2*11 = 5.5
