Answer:
20
Step-by-step explanation:
We know that the interior angle measures of a triangle are <u>180,</u> and we are told that this is a <u>right</u> triangle.
Since we know the measure of two angles, we just have to do basic math:
180=90+70+x
solve for x (which equals 20) to get the measure of your acute angle
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Answer:
I'll answer the first one. Neither vehicles are crossing the speed limit since both are under 40mph.
Step-by-step explanation:
6 miles every 10 minutes = 36 miles every hour.
15 miles every 25 minutes = 36 miles every hour.
Speed limit = 40 mph
Neither vehicles are crossing the speed limit since both are under 40mph.
Hope this helped! :))
set up a ratio to find the length:
15/12 = DE/16
cross multiply the 15 & 16:
15 * 16 = 240
divide that by 12 to get DE
240 / 12 = 20
DE = 20