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Oksi-84 [34.3K]
3 years ago
5

Find m Give explanation please

Mathematics
2 answers:
erik [133]3 years ago
8 0

Answer: The measurement of ∠EFG is equal to 70°.

Step-by-step explanation:

Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:

(6x - 10) + 38 = 7x + 18

In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.

(6x - 10) + 38 = 7x + 18

6x + 28 = 7x + 18

We then substract 18 on both sides.

6x + 10 = 7x

We finally substract 6x from both sides in order to have the value of x.

x = 10

Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.

m∠EFG = 6x + 10

m∠EFG = 6(10) + 10

m∠EFG = 60 + 10

m∠EFG = 70

Shkiper50 [21]3 years ago
3 0

Answer:

<em>50° </em>

Step-by-step explanation:

( 7x + 18 )° = ( 6x - 10 )° + 38°

7x + 18 = 6x - 10 + 38

7x - 6x = 28 - 18

x = 10

m∠EFG = 6(10) - 10

m∠EFG = <em>50°</em>

You might be interested in
2,5 m to 75 cm as ratio in its simplest form​
zhannawk [14.2K]

Answer:

10 : 3

Step-by-step explanation:

Convert one of the measurements so that it is in the same form as the other.  (Easiest to convert m to cms so we are not working with decimals)

2.5 m = 2.5 x 100 = 250 cm (since there are 100 cm in a meter)

Therefore, as a ratio:

250 : 75

We can divide both by 5:

50 : 15

We can further divide by 5:

10 : 3

(no further simplifying)

So 2.5 m to 75cm as a ratio is 10 : 3

4 0
3 years ago
A major retail clothing store is interested in estimating the difference in mean monthly purchases by customers who use the stor
mixer [17]

Answer:

Critical value is t = 1.9901

Step-by-step explanation:

We are given the results of the sampling :

                                     In-House Credit Card                National Credit Card                    <u>Sample Size</u> :                              32                                                    50

<u>Mean Monthly Purchases </u>:      $45.67                                            $39.87

<u>Standard Deviation </u>:                $10.90                                             $12.47

Also, the managers wished to test whether there is a statistical difference in the mean monthly purchases by customers using the two types of credit cards, using a significance level α of 0.05.

<em>Firstly, we will specify our null and alternate hypothesis;</em>

Let \mu_1 = Mean Monthly Purchases of In-House Credit Card

     \mu_2 = Mean Monthly purchases of National Credit Card

So, Null Hypothesis, H_0 : \mu_1-\mu_2 = 0  {means that there is no difference in the mean monthly purchases by customers using the two types of credit cards}

Alternate Hypothesis, H_0 : \mu_1-\mu_2\neq 0  {means that there is statistical difference in the mean monthly purchases by customers using the two types of credit cards}

The test statistics that will be used here is <u>Two-sample t-test statistics</u>;

              T.S. = \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  ~ t_n___1+n_2-_2

where, \bar X_1 = Sample mean Purchases of In-House Credit Card = $45.67

           \bar X_2 = Sample mean Purchases of National Credit Card = $39.87

            s_p = pooled variance

            n_1 = In-house credit card sample = 32

            n_2 = National credit card sample = 50

So, degree of freedom of t-value here is (32 + 50 - 2) = 80

Now, at 0.05 significance level, t table gives critical value of t = 1.9901 at 80 degree of freedom.

<em>Therefore, the critical value assuming the population standard deviations are not known but that the populations are normally distributed with equal variances is t = 1.9901.</em>

4 0
3 years ago
How do you find the equation of line u?
suter [353]
Y=9x+5 theres your answer
7 0
3 years ago
Find the missing side of the triangle. Side LaTeX: cc is the hypotenuse and sides LaTeX: aa and LaTeX: bb are legs. Leave your a
mylen [45]

Answer:

c = 2\sqrt{5

Step-by-step explanation:

Given

a = 2

b = 4

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

c^2 = a^2 + b^2

Substitute values for a and b

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

Take square roots of both sides:

c = \sqrt{20

Express 20 as 4 * 5

c = \sqrt{4 * 5

Split surd

c = \sqrt{4} * \sqrt{5

Take square root of 4

c = 2 * \sqrt{5

c = 2\sqrt{5

6 0
2 years ago
Find the value of x and y <br><br> Who ever gives me the rights answer will get brainliest
Roman55 [17]

Answer:

Step-by-step explanation:

X = 180-117 = 63

y = 90-63 = 27

7 0
3 years ago
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