Answer:
Step-by-step explanation:
area=(6+3)/2×4+7×3+1/2×2×3
=18+21+3
=42 ft²
1. The two angles add up to 180°.
2. You can create an equation because of this:
2x - 3 + 7x + 21 = 180
9x + 18 = 180
- 18
9x = 162
÷ 9
x = 18
3. <KMP is equal to <YMA because they are vertically opposite, so you can substitute in the value of x to find it.
(7 × 18) + 21
126 + 21 = 147
answer = 147°
4. The complement of an angle is the value that makes it add up to 90°, so first we need to find <KMA:
(2 × 18) - 3
36 - 3 = 33°
90 - 33 = 57
answer = 57°
I hope this helps!
The answer is $295. I also added my work below!
Let's go through each answer.
a.
This is incorrect because the answer doesn't have any numbers that are below 11, but the histogram has 5.
b.
This is incorrect because the answer doesn't have any numbers that are above 10, but the histogram has 7.
c.
This is incorrect because the answer doesn't have any numbers that are below 11, but the histogram has 5.
d.
This is correct because it has 3 numbers that are between 1 and 5, 2 numbers between 6 and 10, 4 numbers between 11 and 15, and 3 numbers between 16 and 20, just like the histogram.
The answer d.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Answer:
B and D
Step-by-step explanation:
Given

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.
Solve x² - 2x - 24 = 0, that is
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6 → B
x + 4 = 0 ⇒ x = - 4 → D