<span>here are the answer choices
m∠ABC=32°
m∠ABC=64°
m∠ABC=90°
m∠ABC=128°
</span>∠ ABC<span> is less than 90</span>° so the 3rd and 4th option is out.
The most likely answer is 64°. m∠ABC = 64°
32° x 2 = 64°
Answer:
Option (b)
Step-by-step explanation:
It is given that,
Total no of friends are 6
The share of each friend is 4/5
Pizza eaten by each friend is equal to the total pizza eaten divided by total no of friends. It can be given by :

It means that Teagan is correct in using a division expression because the question is about splitting a value into equal parts. Hence, the correct option is (b).
Answer:
-47
Step-by-step explanation: Remember p.e.m.d.a.s
so start with (-7*7) = -49
then add so 11 + -49 = -38
then subtract so -38 - 9 = -47
The solution is x=5/4.
We use the properties of logs to rewrite the equation:
![\log[(\frac{x}{2})(\frac{20}{x^2})]=\log8 \\ \\\log(\frac{20x}{2x^2})=\log8 \\ \\\log(\frac{10}{x})=\log8](https://tex.z-dn.net/?f=%5Clog%5B%28%5Cfrac%7Bx%7D%7B2%7D%29%28%5Cfrac%7B20%7D%7Bx%5E2%7D%29%5D%3D%5Clog8%0A%5C%5C%0A%5C%5C%5Clog%28%5Cfrac%7B20x%7D%7B2x%5E2%7D%29%3D%5Clog8%0A%5C%5C%0A%5C%5C%5Clog%28%5Cfrac%7B10%7D%7Bx%7D%29%3D%5Clog8)
Get all of the logs on the same side of the equation y subtracting log 8:

Use the properties of logs to rewrite:

Exponentiate:

Multiply both sides by 8x:
1*8x = (10/8x)*8x
8x=10
Divide both sides by 8:
8x/8 = 10/8
x = 10/8 = 5/4
Answer:
Step-by-step explanation:
Solve the inequality -x/2 ≤ 1. Let's eliminate the fraction first, by multiplying both sides by 2:
-x ≤ 2
We want to solve for +x, not for -x.
Therefore, divide both sides of this latest inequality by -1, remembering to reverse the direction of the inequality sign:
-x ≤ 2 → x ≥ -2