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3 years ago

Find the indicated variable in the trapezoid below. NEED TO FIND x,y, and z

Mathematics

1 answer:

vesna_86 [32]3 years ago

4 0

9514 1404 393

Answer:

x = 40
y = 68
z = 128

Step-by-step explanation:

The midsegment (x) has a length that is the average of the base lengths:

x = (48 +32)/2 = 80/2

x = 40

The end angles are supplementary:

y° = 180° -112° = 68°

y = 68

z° = 180° -52° = 128°

z = 128

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const2013 [10]

Answer:

This is a triangle with 2 equal angles and equal to 60

=> this is an equilateral triangle

=> y = 60

4x.3 = 54

=> y = 60

x = 54/12 = 4.5

Step-by-step explanation:

3 0

3 years ago

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20 POINTS PLEASE ANSWER FAST

Lina20 [59]

Question:

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8 0

3 years ago

According the the U.S. Department of Education, full-time graduate students receive an average salary of $15,000 with a standard

Firdavs [7]

Answer:

Step-by-step explanation:

Given that :

population Mean = 15000

standard deviation= 1200

sample size n = 100

sample mean = 16000

The null and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 15000 }\\ \\ \mathtt{H_1 : \mu > 15000}$

Using the standard normal z statistics

$z = \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}$

$z = \dfrac{16000 -15000}{\dfrac{1200 }{\sqrt{100}}}$

$z = \dfrac{1000}{\dfrac{1200 }{10}}$

$z = \dfrac{1000\times 10}{1200}$

z = 8.333

degree of freedom = n - 1 = 100 - 1 = 99

level of significance ∝ = 0.05

P - value from the z score = 0.00003

Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis

Conclusion: There is sufficient evidence that the Dean claim for his graduate students earn more than average salary of $15,000

5 0

3 years ago

Their sum is − 1/3 and their difference is 18

Rina8888 [55]

Answer:x=53/6 and y=-55/6

Step-by-step explanation:

Let the first number x

Second number b y

Sum of the numbers x+y=-1/3

x-y=18

Solve simultaneously

Using elimination method

We get

2y=-55/3

y=-55/6

Substitute for y in equation 1

x+55/6=18

x=18-55/6

x=53/6

6 0

3 years ago

A pump can fill a 750 gallon tank in 35 minutes.how long will it take to fill 1200 gallons

Veseljchak [2.6K]

Answer:

56 minutes

Step-by-step explanation:

use ratio to solve for x,

750 gal 1200 gal

______ = __________

35 min x

$\frac{750}{35}$ = $\frac{1200}{x}$

solve for x = (1200 * 34 )/750 = 56 min

7 0

3 years ago