Answer:
$12.96
Step-by-step explanation:
determine what the decimal form of 8% is
⇒ 8% = 0.08
multiply $12 by 0.08
⇒ $12 x 0.08
⇒ $0.96
add $0.96 to $12
⇒ $12 + $0.96
⇒ $12.96
new price
⇒ $12.96
Step-by-step explanation:
We just have to remember the line equation <u>y=mx+b</u>
, then place the given equation into this form (y= -3x-6).
Remember that (m) is your slope. So, to find a parallel line, they must have an equal slope. Check the other equations and see which one had a slope of -3. The answer C also has a slope of -3. So those lines would be parallel.
Answer:
True
Step-by-step explanation:
Required
Does dilation preserve angle measure?
When a point, side, line, or angle is dilated; the length of the line will be altered by the ratio or scale of dilation.
However, the measure of angle will remain the same.
<em>Hence, the given statement is true.</em>
1. First, you must apply the formula
for calculate the sum of the interior angles of a regular polygon, which is
shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
15, because angle L and N are equal, 3x=x+10 so x=5, plugging it in, we get that MN is 15
