<span>The correct answer is 11 ft.
Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.
Subtract x from each side:
x+4-x=2x-7-x
4=x-7.
Add 7 to both sides:
4+7=x-7+7
11=x</span>
Answer:
8b + 27 ≤ - 29
Step-by-step explanation:
Sum of a number can be written as x or in this case as b because it is an unknown number.
b is multipled by 8 so 8b
"and 27" indicates an addition so therefore, 8b + 27
"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.
However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.
Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.
Answer:
m∠A = 50°
m∠E = 50°
Step-by-step explanation:
7x - 17 and 2x + 8 are same side exterior angles. They have a sum of 180°.
7x - 17 + 2x + 8 = 180
9x - 9 = 180
9x = 189
x = 21
∠A and 7x - 17 are supplementary. ∠E and 2x + 8 are vertical angles.
m∠A + 7x - 17 = 180
m∠A + 7(21) - 17 = 180
m∠A + 147 - 17 = 180
m∠A + 130 = 180
m∠A = 50
m∠E = 2x + 8
m∠E = 2(21) + 8
m∠E = 42 + 8
m∠E = 50
Answer: D (-∞, ³⁄₂)
1. Find non - negative values for radicals. x ≤ ³⁄₂
2. Find undefined (singularity) points. x = ³⁄₂
3. Combine real regions and undefined points for final domain.
Final answer: x < ³⁄₂
