Answer:
2^2 * 3 * 7
Step-by-step explanation:
First, divide by 2.
84 / 2 = 42
Divide by 2 again!
42 / 2 = 21
21 is divisible by 3, so divide by 3.
21 / 3 = 7
7 is prime, so we've reached the end of our little adventure!
84 = 2 * 2 * 3 * 7, or in exponents, 2^2 * 3 * 7.
Hope that helps!
Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the <u>exterior angle theorem</u> where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
Answer:
$90.90
Step-by-step explanation:
The item normally costs $110.99. If the sporting goods store is offering a 10% discount, it means that the price including the discount will be:
$110.99 x 0.90 = $99.891.
the in-line skates cost with the discount $99.89, not including taxes.
Answer:
The person bikes 20 miles in an hour
Step-by-step explanation:
Answer:
The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches
Step-by-step explanation:
