Step-by-step explanation:
5.
angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.
above ST we have a group of 3 angles that combine to 180° :
2x + 8
90°
71 - x
so, to get x first :
2x + 8 + 90 + 71 - x = 180
x + 169 = 180
x = 11
so, the angle MTS =
2x + 8 = 2×11 + 8 = 22 + 8 = 30°.
6.
therefore, the angle STQ is
180 - angle MTS = 180 - 30 = 150°.
Answer:
Step-by-step explanation:
<u>Exponential function is:</u>
<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>
<u>Find the value of b:</u>
- b¹⁰ = 675647/617594
- b¹⁰ = 1.09399864636
- b = 1.09399864636^(1/10)
- b = 1.009 (rounded)
<u>The equation we got is:</u>
Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.
Answer:
Step-by-step explanation:
Let's set up a proportion using the following setup.
We know 30 buses can carry 1,500 people.
We don't know how many people 5 buses can carry, so we say 5 buses carry x people.
Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.
Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.
5 buses can carry 250 people.
Answer:
3
Step-by-step explanation:
it resembles a staircase when graphed
Answer:
85 miles per hour
Step-by-step explanation:
