Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
You can find the segment congruent to AC by finding another segment with the same length. So first, you need to find the length of AC.
C - A = AC
0 - (-6) = AC Cancel out the double negative
0 + 6 = AC
6 = AC
Now, find another segment that also has a length of 6.
D - B = BD
2 - (-2) = BD Cancel out the double negative
2 + 2 = BD
4 = BD
4 ≠ 6
E - B = BE
4 - (-2) = BE Cancel out the double negative
4 + 2 = BE
6 = BE
6 = 6
So, the segment congruent to AC is B. BE .
1. Answer:
C. 1050
Step-by-step explanation:
To find the area of a rectangle, it is length * width * height
25 * 7 = 175
175 * 6 = 1050
2. Answer:
C. 8
Step-by-step explanation:
To find the missing dimension of a rectangle, you can easily just divide the total by each dimension
540 divided by 7.5 = 72
72 divided by 9 = 8
3. Answer:
D. 31,400
(31,415.9)
Step-by-step explanation:
The radius of the cylinder is 20
The height of the cylinder 25
πr2h is the formula used to find the volume of a cylinder
Answer: Darren
A) Job Offer #1 would be better financially until job offer 2 (in 12 years) would be a better and have more income, so IMO job offer #1 would set you better off financially
B) it would take 12 years for job offer #2 to become a better offer (you can also express this in your own words if needed)
Answer: C
Step-by-step explanation:
A function only exists if each x-value has only one possible y-value.
C is the only function because each x-value has only one y-value.
The other answer choices have x-values that have multiple y-values. In answer choice A, it has (2,9) and (2,8). In answer choice B, the set has (1, 0) and (1,2). And in answer D, it has (1,3) and (1,2)
