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3 years ago

The two triangles are similar. What is the value of x?

Mathematics

1 answer:

denpristay [2]3 years ago

3 0

[8/(2x-2)=(8+6)/(3x)
8/(2x-2)=14/(3x)
14(2x-2)=8(3x)
28x-28=24x
x=7
So by using the similarity of the sides, we can make ratios that can give is the value of x.<span />

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Please help with solving the blank answers

KATRIN_1 [288]

Distribute The 4 In Problem Number 2. (4*2.5X)+(4*1.25) = 77
Simplify. 10X+5 = 77. Now, Subtract 5 From Both Sides.
10X = 77-5
10X = 72.
Now, Divide.
X = 72/10.
X = 7.2.
For 13, We Have This:
3/5p+2/3 = 8.
Now, Subtract 2/3.
3/5p = 7 1/3
Now, Divide.
7 1/3 Needs To Be Converted To An Improper Fraction.
It Becomes 22/3.
22 5 110
--- * --- = ----
3 3 9
Now, Make Into A Proper Fraction.
It Becomes 12 And 2/9.

6 0

3 years ago

A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches

harkovskaia [24]

9514 1404 393

Answer:

a) w(4w-15)

b) w²

c) w(4w -15) = w²

d) w = 5

e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

A = w(4w -15)

b) If w is the side length, the area of the square is (also) the product of length and width:

A = w²

c) Equating the expressions for area, we have ...

w(4w -15) = w²

d) we can subtract the right side to get ...

4w² -15w -w² = 0

3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

4 0

3 years ago

Pls someone help these answers are on chegg so if u have a subscription pls answer these ill make u brainliest ! Below is a tabl

aivan3 [116]

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.