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3 years ago

What is the value of x

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

Answer:

124°

Step-by-step explanation:

Step 1:

72° + 52° = x Remote Interior ∠'s

Step 2:

124° = x Add

Answer:

x = 124°

Hope This Helps :)

Elena L [17]3 years ago

6 0

Answer:

D) 124°

Step-by-step explanation:

Use the "Exterior Angle Theorem". The Exterior Angle Theorem states that the exterior angle's measurement is the sum of the two opposite interior angle's measurements.

In this case, it is given to you that the opposite angle's measurements are 72 and 52 degrees respectively. To solve, combine the two angles:

m∠x = 72 + 52

m∠x = 124°

m∠x = 124°, or D) 124° is your answer.

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Find the values of x and y for the isosceles trapezoid

butalik [34]

<h3>Answer:</h3>

x = 15
y = 3

<h3>Step-by-step explanation:</h3>

If the trapezoid is isosceles, angles A and C are supplementary, so ...

... (4x+4) +(7x+11) = 180

... 11x +15 = 180 . . . . . . collect terms

... 11x = 165 . . . . . . . . . subtract 15

... x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

... 4·15 +4 = 21y +1

... 63 = 21y . . . . . subtract 1

... 3 = y . . . . . . . . divide by the coefficient of y

4 0

3 years ago

A die <br>is tossed find the odds against rolling a number greater than 4

Ulleksa [173]

Answer:

The chance of rolling a number greater than 4 (a 5 and 6) is 2/6 = 1/3 after simplification. The probability it WON'T happen is 1 - 1/3 = 2/3.

The ratio of against to for is 2/3:1/3

You can further simplify this ratio by multiplying each side by 3 and yielding

2:1.

The chance of it not happening is twice as likely as it is to roll a number greater than 4

3 0

3 years ago

A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.

meriva

<u>Answer:</u>

42%

<u>Step-by-step explanation:</u>

We know that the number of times red side is faced up = 21; and

the total number of times colored chip is thrown = 50

Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown) * 100%

Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%

Therefore, the relative frequency of the chip landing with the red side facing up is 42%.

6 0

3 years ago

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

Darya [45]

Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

The perimeter of a rectangle is 7.2 feet. The width is 1.2 feet. What is the length?

Fiesta28 [93]

The length is 2.4

1.2 times 2 to take away the both width sides
minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4

3 0

3 years ago

Read 2 more answers