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Firdavs [7]
3 years ago
9

What is the value of x? Enter your answer in the box. units

Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

x = 28

Step-by-step explanation:

ΔARP ≈ ΔCRD

42/x = 57/(10+x)

cross-multiply:

42(10+x) = 57x

420 + 42x = 57x

420 = 15x

28 = x

You might be interested in
Sal took four quizzes this grading period in Algebra II. He made a 56/72, 28/32, 70/90, and 42/56. Which two grades are equivale
Vanyuwa [196]
56/72 can be simplified to 14/18, then to 7/9 *dividing by 4, then by 2*

28/32 can be simplified to 7/8 *dividing by 4*

70/90 can be simplified to 7/9 *dividing by 10*


7/9 and 7/9 are equivalent, so 56/72 and 70/90 are equivalent.
4 0
3 years ago
A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of night
Kamila [148]

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)

5 0
3 years ago
Can someone help me with this question?
andrew11 [14]

Answer:

A = 20.25 sq units

Step-by-step explanation:

to find the area of a square you only need to know the measure of one side -- all other sides will be equal to it

it appears the segment is 4.5 units so you would square that to get the area

A = 4.5²

A = 20.25

4 0
3 years ago
Martha earns $15 per hour for babysitting. The parents always give her a $5 tip.
Sliva [168]

Answer:

3

y=3x  

4 hours

Step-by-step explanation:

15 dollars in one hour plus 5 as tip makes the ratio afterwards 15\5 which equals 3. 65 dollars - 5 equals 60, which divided by 15 = 4 hours.

3 0
2 years ago
Read 2 more answers
12 stamps increased by 125 percent equals
PolarNik [594]
130 stamps is the answer you are looking for


6 0
2 years ago
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