Answer:
m∠7 = 64°
Step-by-step explanation:
∠7 and ∠8 are supplementary meaning they add up to 180°.
m∠7 + m∠8 = 180°
m∠7 + 116° = 180°
m∠7 = 64°
Step-by-step explanation:
To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.
We try out all the options:
39² = 1521, 15² + 36² = 1521.
12² = 144, 8² + 4² = 80.
17² = 289, 13² + 9² = 250.
Since 39² equals 15² + 36², option A is the correct answer.
The volume of the cube would be 193.8. Solution
Volume = L x W x H
Volume = 19 x 1.7 x 6
Volume = 193.8
"Completing the square" is a step in the solution of quadratic equations. It can be accomplished without the guesswork or trial-and-error associated with methods like factoring, and it always leads to a solution. It is the method by which the quadratic formula is derived.
To make calculation easier, we first multiply
1.35 × 100 = 135
then we need to find how many groups of 5 are there in 135.
to do so, we simply take
135 ÷ 5 = 27
therefore, the answer is <u>27.</u>