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3 years ago

15. Find the value of x. (68 - x) 3x

Mathematics

2 answers:

kherson [118]3 years ago

6 0

Answer:

The value of 'x' is: 17°

Step-by-step explanation:

From what is being shown, there are two angles that are given:

(68 - x)°

3x°

Since they are congruent angles, meaning they are equal to each other, they will be put into a(n) equation such like shown below:

(68 - x)° = 3x°

(Then remove the parenthesis)

68° - x° = 3x°

+ x°=+3x°

------------------

68° = 4x°

------------------

(Divide both sides by 4)

$\frac{68}{4} = \frac{4x}{4}$

------------------

17° = x

------------------

Your value of 'x' is 17.

masha68 [24]3 years ago

3 0

Answer:

17=x

Step-by-step explanation:

In this case, we need to use Vertical Angles Theorem to solve this problem. Basically, because of the position of the angles, they are congruent.

68-x = 3x

Add x to both sides

68=4x

Divide by 4

17=x

Hope this helps!

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givi [52]

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7 0

3 years ago

Jeffrey set up chairs for a meeting.

Kazeer [188]

Answer:

9x + 3 = 7x + 19

Step-by-step explanation:

Given that,

Jeffrey set up chairs for a meeting.

He arranged the chairs in 9 equal rows but had 3 chairs left over.

Let x be the number of chairs. So,

9x+3 .....(1)

Then he arranged the chairs in 7 equal rows but had 19 chairs left over. So,

7x+19 ......(2)

From equation (1) and (2),

9x+3 = 7x+19

9x-7x = 19-3

2x = 16

x = 8

Hence, the correct option is (b).

3 0

3 years ago

An inequality can have more than one solution

ratelena [41]

True. If there is a point in the middle that is false, we have two create 2 solutions.

Hope this helps!

4 0

3 years ago

What is the length of the tangent line in the picture?

S_A_V [24]

Answer:

x = -2

Step-by-step explanation:

The tangent line has length "x + 8"

The secant line has length "x + 6 + 5", where

5 is the inner part

x + 6 is the outer part

Now,

the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.

So, we can say:

$(x+8)^2 = (x+6)(x+6+5)$

We can solve for x shown below:

$(x+8)^2 = (x+6)(x+6+5)\\(x+8)^2=(x+6)(x+11)\\x^2+16x+64=x^2+17x+66\\17x-16x=64-66\\x=-2$

The value of x is -2

4 0

3 years ago

In the 2014 - 2015 school year, the mean score on the critical reading of the SAT was 490 with a standard deviation of 102 for j

bonufazy [111]

<u>Answer:</u>

The Ranking Percentile is (B) 97.5%

<u>Explanation :</u>

To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.

Formula to find the z-score

Z-score= $\frac{\text { scored obtained - mean }(\mu)}{\text { standard deviation }(\sigma)}$

Substituting the values in the above equation, we find

Z-score= $\frac{(694-490)}{102}$ =2

So, the Z-score is +2

Now, the corresponding value of Z-score 2 in the table is 0.9772

or the percentile score is 97.72 ~ 97.5 .

3 0

3 years ago