Answer: 4 months
Step-by-step explanation:
$75 + $152X = 683
That's the equation you need to set up, with X being the number of months.
To solve, first subtract 75 from both sides.
$152x = 608
Then, divide each side by 152
X = 4
The answer is 4 months.
Answer:
The wall is 3 ft high and 5 ft long.
Step-by-step explanation:
Recall: Area of the rectangular wall is A = (length)(height).
Let the height be represented by h. Then the length is represented by h + 2.
The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.
Let's solve this last equation for h using completing the square:
h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16. Taking the square root of both sides, we get:
h + 1 = ±4, which is equivalent to h = 3 and h = -5. Discard the negative result. Then h = 3 and w = 3+2 = 5.
The wall is 3 ft high and 5 ft long. Its area is (3 ft)(5 ft) = 15 ft²
<u>Given</u>:
The measure of ∠EGF is 51°
We need to determine the measure of ∠EHF
<u>Measure of ∠EHF:</u>
By inscribed angle theorem, we know that, "if two inscribed angles of a circle intercept the same arc then the angles are congruent".
Applying the theorem, we have that the two inscribed angles of a circle intercepting the same arc are ∠G and ∠H
Then, the two angles are congruent.
Thus, we have;
∠G ≅ ∠H
Therefore, the measure of ∠G = ∠H = 51°
Hence, the measure of ∠EHF = 51°
Answer:
The input is the letter in the parentheses.
Step-by-step explanation:
f(h) is h
g(f) is f
h(g) is g
<u><em>Answer:</em></u>
No, they are not.
<u><em>Explanation:</em></u>
The base & height don't match up.
