Answer:
<u>x = 18</u>
Step-by-step explanation:
1. Let's solve for x, using the supplementary angles theorem, this way:
∠ C = 180 - 7x + 2 because they are supplementary angles. And these angles add up to 180 degrees.
∠ D = 180 - 9x + 31 because they are supplementary angles. And these angles add up to 180 degrees.
∠ E = 180 - 4x - 33 because they are supplementary angles. And these angles add up to 180 degrees.
Now, let's recall that the interior angles of a triangle add up to 180 degrees. Thus:
∠ C + ∠ D + ∠ E = 180 °
Replacing with the real values for solving for x:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
- 20 x + 540 = 180
- 20 x = 180 - 540 (Subtracting 540 to both sides)
- 20 x = - 360
<u>x = 18 (Dividing by - 20)</u>
<u>Proving that x = 18 is correct</u>
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
180 - 9 (18) + 31 + 180 - 4 (18) - 33 + 180 - 7 (18) + 2 = 180
180 - 162 + 31 + 180 - 72 - 33 + 180 - 126 + 2 = 180
573 - 393 = 180
180 = 180
<u>We proved that x = 18 is correct</u>
Answer:
Volume = 3
Step-by-step explanation:
l x w x h
3/2 * 4 * 1/2 = 3
I hope this helps :)
Answer:
There are 9 000 000 = 9 million reptiles in the US.
Step-by-step explanation:
Percentages and ratio:
The double of a measure, for example, is 200% of the measure.
So 1000% of a measure is 10 times the measure.
There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles.
The number of pet dogs is 10 times the number of reptiles, which means that:
There are 9 000 000 = 9 million reptiles in the US.
