Answer:
Short answer: D) 15
Step-by-step explanation:
Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it.
So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/?
the ? is 15.
Answer:
45°
Step-by-step explanation:
Because every angle in a square is 90° and the diagonal is bisecting the angle so we have 45°
Answer:
D. -3x + 18
Step-by-step explanation:
3x - 9y = 18
y = 1/3 x - 2 ... x intercept 0 = 1/3x -2 x=6
perpendicular line slope: - 1/(1/3) = -3 and (6,0) 0n the line
equation: (y-0)/(x-6) = -3
y = -3x +18
Answer:

Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

2) Multiply both sides by 27^x - 8.

3) Use the product rule: x^a x^b = x^a+b.

4) Simplify 1 + x - 8 to x - 7.

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

6) Use Change of Base Rule.

7) Use rule of 1: log 1 = 0.

8) Simplify 0/log_27 to 0.

9) Add 7 to both sides.

10) Switch sides.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>
Answer:
20 degrees
Step-by-step explanation: