Ask question

Ask question

All categories

3 years ago

14

Solve for x, the triangles are similar

1 answer:

elixir [45]3 years ago

5 0

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

$\frac{ES}{EG}$ = $\frac{ER}{EF}$ , substitute values

$\frac{45}{12x-3}$ = $\frac{55}{143}$ ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

You might be interested in

On a floor plan for Roscdale Middde School, 1l inch

Rashid [163]

Answer:

The answer is A) 20 feet by 30 feet

6 0

2 years ago

the sum of two number is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Natalka [10]

Answer:

7.5 is the large number and 6.75 is the smaller number

Step-by-step explanation:

6 0

2 years ago

Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c

nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = \frac{81}{130} = 0.6231$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when $M = 0.04$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}$

$\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}$

$n = 563.8$

Rounding up

We need a sample size of 564.

4 0

3 years ago

What is the measure of x?<br> x= ✓[?]

Sedbober [7]

Answer:

x=24

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can someone do 15?!?!?

andrew-mc [135]

<u>Given</u>:

The given triangle is a right triangle.

The length of the hypotenuse is 31 units.

The length of the leg is 23 units.

One of the angle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

Substituting $\theta=x$ , the side opposite to the angle x measures 23 units and the hypotenuse is 31.

Thus, we have;

$sin \ x=\frac{23}{31}$

Dividing, we get;

$sin \ x=0.74$

Taking $sin ^{-1}$ on both sides of the equation, we get;

$x=sin^{-1}(0.74)$

$x=47.7$

Rounding off to the nearest whole integer, we get;

$x=48$

Thus, the value of x is 48°

Hence, Option c is the correct answer.

5 0

3 years ago