9.125 E10 is the same as 9.125 × 10¹⁰ in standard form.
Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

Answer:
d. May
Step-by-step explanation:
Working through the chain, we have ...
Feb = 1.10×Jan
Mar = 0.85×Feb = 0.935×Jan
Apr = 1.20×Mar = 1.122×Jan
May = 0.90×Apr = 1.0098×Jan
Jun = 1.05×May = 1.06029×Jan
The multiplier that is closest to 1 is 1.0098, so May has sales closest to January.
_____
The percentage increase or decrease can be converted to a multiplier by adding it to 1. If p% is the percentage change, then adding it to an original value looks like ...
original + p% × original = original × (1 +p%) . . . . . . . distributive property
And p% translates to a decimal number by replacing % with /100 or ×0.01.
10% increase: original × (1 + 10/100) = original × 1.10
15% decrease: original × (1 - 15/100) = original × 0.85