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3 years ago

the measures of 2 angles are (5x+24) and (9x-7). what is the value of x if these angles are congruent?

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Hello!

We assign (5x + 24) to angle one and (9x - 7) to angle two. If these angles are congruent, then angle one is equal to angle two. To find the value of x, you need to create and equation as follows: 5x + 24 = 9x - 7 and find the value of x like a normal algebraic equation.

5x + 24 = 9x - 7 (subtract 5x from both sides)

24 = 4x - 7 (add 7 to both sides)

31 = 4x (divide 4 to both sides)

x = 31/4

Therefore, the value of x is equal to 31/4.

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Which of the following is an increasing exponential function whose y-intercept is 50?

Likurg_2 [28]

Y=50(1.4)*

Equations 1,3,4 are exponential (the 2nd isn’t so it’s out)

Y intercept means x is set at 0 so start testing
For y=2*+50 when x=0 y=1+50=51
(Any number raised to a 0 exponent is 1)
For y=50(1.4)* y=50(1) so y=50 and that is what you are looking for

8 0

3 years ago

9. The length of a rectangular speaker is three

nika2105 [10]

Answer:

$V=(3W^3+12W^2)\ units^3$

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

$V=LWH$ -----> equation A

where

L is the length

W is the width

H is the height

we know that

$L=3W$ -----> equation B

$H=W+4$ ----> equation C

substitute equation B and equation C in equation A

$V=(3W)(W)(W+4)$

Apply distributive property

$V=(3W^3+12W^2)\ units^3$

6 0

3 years ago

Suppose a sample of 972972 tenth graders is drawn. Of the students sampled, 700700 read above the eighth grade level. Using the

max2010maxim [7]

Answer:

The 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.259, 0.301).

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:

972 students, 700 read above the eight grade level. We want the confidence interver for the proportion of those who read at or below the 8th grade level. 972 - 700 = 272, so $n = 972, \pi = \frac{272}{972} = 0.28$

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.28 - 1.44\sqrt{\frac{0.28*0.72}{972}} = 0.259$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.28 + 1.44\sqrt{\frac{0.28*0.72}{972}} = 0.301$

The 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.259, 0.301).

3 0

3 years ago

**PLEASE HELP**

Nikitich [7]

Total area of zone and playground, (x+50)(x+30);
and this whole area is twice the area of the playground, consistent with description.
highlight_green%28%28x%2B50%29%28x%2B30%29=2%2A50%2A30%29;
Solve for x.

3 0

3 years ago

Pls do this one i have quiz at this so ya pla do it i only have 20 minutes pls

steposvetlana [31]

Answer:

Answers for the question

(1.)320cm3 (2.)144cm3. (3.)330cm3. (4.)160cm3.(5.)336cm3. (6.)1440cm3. (7.)7500cm3. (8.)20000. (9.)1500000

please the three besides cm is cm raise the power three meaning cm-cube

5 0

3 years ago