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3 years ago

Adjacent angles and linear pairs can you help?

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

Answer:

Step-by-step explanation:

x + 13 + 4x + 2 = 180

Add the like terms,

5x + 15 = 180

Subtract 15 form both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both sides by 5

5x/5 = 16/5

x = 33

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Kobe has collected 750 football cards and 660 baseball cards. He wants to divide them into piles so that each pile has only one

Harrizon [31]

Answer: 30 cards

Step-by-step explanation:

To find the greatest possible number of cards in each pile such that there is the same number of cards in each pile we need to find the greatest common factor of 750 and 660.

Using Euclid division method , we have

$750=1(660)+90\\\\660=7(90)+30\\\\90=3(30)+0$

Hence, the greatest common factor of 750 and 660 = 30

Thus, there will be 30 cards in each pile.

4 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

2 years ago

HELLO CAN ANYONE HELP MEE PLEASE I DONT UNDERSTAND!!

Furkat [3]

Answer:

−143x^3y^5

Step-by-step explanation:

7 0

3 years ago

If 45% of a number g is 225 what is 74% of g

Gelneren [198K]

370
You first have to divide 225 by 45 and then multiply by 74

5 0

3 years ago

Recall what you know about similarity. If circle B is similar to circle A, what must exist?

Arlecino [84]

Answer:

circle a and circle b must exist

Step-by-step explanation:is circle a and circle b did not exist this question would not be one

7 0

2 years ago