Ask question

Ask question

All categories

3 years ago

15

20 points and brainliest to the best correct answer, do and show work for numbers 13 and 15. Questions are in the photo, thank y

ou.

1 answer:

lana [24]3 years ago

7 0

Answer:

13. x=11; MN=65°; NP=115°; NQP=245°

15. x=9; AD=108°; BC=23°; DC=139°; DBC=221°

Step-by-step explanation:

<h3>13.</h3>

The marked arcs are congruent, so we can equate the given expressions for their measures:

10x -45 = 6x -1

4x = 44 . . . . . . . . . add 45-6x

x = 11 . . . . . . . . . . divide by 4

The arc measures are found by using the value of x in the corresponding expression. Arcs around a circle total 360°.

arc MN = (10(11) -45)° = 65°

arc NP = 180° -65° = 115°

arc NQP = 360° -NP = 245°

__

<h3>15.</h3>

The sum of arcs around a circle is 360°. We can use this fact to write an equation involving the given expressions. Clockwise from A, we have ...

90 +(2x +5) +(17x -14) +12x = 360

31x = 279 . . . . . . . subtract 81, collect terms

x = 9 . . . . . . . . . divide by 31

The arc measures are found by using the value of x in the corresponding expression.

arc AD = 12(9)° = 108°

arc BC = (2(9) +5)° = 23°

arc DC = (17(9) -14)° = 139°

arc DBC = 360° -DC = 221°

You might be interested in

A student has completed 14 problems on a test. These problems make up 28% of the test.

Nana76 [90]

There are 50 total problems on the test.

100/28 = 3.57142857

3.57142857 * 14 = 50

Proof:

0.28 * 50 = 14
or
28% of 50 = 14

8 0

3 years ago

Read 2 more answers

Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched b

Fofino [41]

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = $\sqrt{495}$

a = $\sqrt{9}$ · $\sqrt{55}$ = 3 $\sqrt{55}$ , which is approx 22.25

6 0

3 years ago

Read 2 more answers

Jessica is returning home from a trip. The function d(t)=458-60t models the distance, in miles, that Jessica is from her house t

S_A_V [24]

Answer: D. 453 miles .

Step-by-step explanation:

Given: The function $d(t)=458-60t$ models the distance, in miles, that Jessica is from her house <em>t </em>hours after she began returning home.

At t = 5 minutes = $\dfrac{5}{60}$ hour [1 hour = 60 minutes],

Distance covered by Jessica in 5 minutes = $d(\dfrac{5}{60})=458-60(\dfrac{5}{60})$

$=458-5=453\ miles$

Jessica is 453 miles from her home after 5 minutes she began returning home.

Hence, the correct option is D. 453 miles .

4 0

3 years ago

A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (

cupoosta [38]

Answer:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

$\mu=7$ population mean (variable of interest)

$\sigma=0.2$ represent the population standard deviation

$s=0.219$ represent the sample deviation

n=15 represent the sample size

$\alpha=0.05,0.01$ represent the values for the significance level

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: $\sigma = 0.2$

H1: $\sigma \neq 0.2$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

3 0

4 years ago

HELP THIS IS URGENT!!!

aleksklad [387]

Answer: Clockwise rotation 80°

Step-by-step explanation:

∠HOF = (360°/9)*2 = 80°

3 0

3 years ago