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2 years ago

10

AB intersects CD at point E. What is the value of X in degrees?

1 answer:

dalvyx [7]2 years ago

7 0

Answer:

x = 132°

Step-by-step explanation:

∠AED and ∠CEB are both <u>vertical angles</u>. Vertical angles will <em>always</em> be equal to each other, so ∠AED = ∠CEB.

Since they're equal, if ∠AED = 132°, then ∠CEB must also equal 132°.

(∠CEB is the x value you're asking about by the way).

If you have any questions, or anything was confusing, comment them and I'll help you out.

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Bernie has $16000 invested, part at 3% and the remainder at 5%. If the yearly interest on each investment is the same, how much

Snowcat [4.5K]

If the interest is the same for both accounts then:

.03x=.05(16000-x)

.03x=800-.05x

.08x=800

x=10000, since the interest is the same for both we can just double the interest from one investment to find the total interest earned each year...

.03(10000)2=$600.00

3 0

3 years ago

In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:

Radda [10]

Answer:

B (0.312, 0.364)

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 interval $1-\alpha$ , 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:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. 

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

5 0

3 years ago

What is the value of x is in the solution set of 8x-6>12+2x?

fiasKO [112]

Answer:

see explanation

Step-by-step explanation:

Given

8x - 6 > 12 + 2x ( subtract 2x from both sides )

6x - 6 > 12 ( add 6 to both sides )

6x > 18 ( divide both sides by 6 )

x > 3

Any value of x greater than 3 will be in the solution set

7 0

3 years ago

Beth hiked 4 3/10 Jose hiked 3 6/10 how much farther in miles did Beth hike than Jose

aleksandrvk [35]

Answer:

7/10

0.70

Step-by-step explanation:

BETH- 4.30

JOSE- 3.60

4.30 - 3.60 = .70

.70 = 7/10

3 0

2 years ago

What value of w that makes the equation true 2/3(w+3) = 7

alexdok [17]

The answer is 7.5 or 15/2

3 0

3 years ago