Answer:
see explanation
Step-by-step explanation:
Given
(2m + 5n)² = (2m + 5n)(2m + 5n)
Each term in the second factor is multiplied by each term in the first factor, that is
2m(2m + 5n) + 5n(2m + 5n) ← distribute both parenthesis
= 4m² + 10mn + 10mn + 25n² ← collect like terms
= 4m² + 20mn + 25n² ← perfect square trinomial
Answer:
EF = 18 in. & m∠F = 134 °
Step-by-step explanation:
Hi there,
In order to find the length of side EF, you should realize that this is an <u>isosceles triangle</u>. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.
Therefore, EF is 18 inches because FG is 18 inches.
In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.
m∠E + m∠G + m∠F = 180°
23° + 23° + m∠F = 180°
46° + m∠F = 180°
m∠F = 134°
Hope this explanation helps you understand this problem. Cheers.
Number of possibilities for 1 roll = 6.
Probability of rolling a 4 = 1/6. .
Odds are 5 to 1 against it. 1 to 5 in favor.
Answer:
The interest rate was 42.5%.
Step-by-step explanation:
