Answer:
The measure of the exterior angle is 92 degrees
Step-by-step explanation:
Problem 16)
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
In this problem

solve for x


Find the measure of the exterior angle

Lets x = Mary's age
Emily is there years older than twice her sister Mary's age = 2x + 3
Sum of both is less than 30:
x + 2x + 3 < 30
Solve for x
3x + 3 < 30
3x < 27
x < 9
Mary's age = 9
Inequality represents Mary's possible age:
0 < x < 9
Answer is the second one
0 < x < 9
<span>A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail? Answer in % form.
-----------------------------
P(both fail) = 0.05*0.08 = 0.004 = 0.4%</span>
Answer:

Step-by-step explanation:
<em>We'd add c in both sides</em>
7x = c + k
<em>Divide 7 in both sides isolate the variable</em>
7x/7 = x
c+k/7
x = c + k/7
Our answer is x = c+k/7
Answer:
D
Step-by-step explanation:
If you have a number with an exponent multiplied by the same number with an exponent, you can add the exponents.
2 + 4 = 6
3^6