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Akimi4 [234]
2 years ago
9

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
Rina8888 [55]2 years ago
7 0

Answer:

since those 2 lines are parrelel that means the angles are the same so

8x+6=4x+38

minus 6

8x=4x+32

minus 4x

4x=32

divide by 4

x=8

Hope This Helps!!!

Kaylis [27]2 years ago
3 0

The value of the x is 11 and the measure of the angle B is 82 degrees.

<h3>What are vertically opposite angles?</h3>

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

We have:

The angle measurements in the diagram are represented by the following expressions:

Angle A = 8x - 6

Angle B = 4x + 38

By using the vertically opposite angle property in angle B

As we know the alternate exterior angle are equal

8x - 6 = 4x + 38

4x = 44

x =11

Measure of angle B = 4(11) + 38 = 82 degrees

Thus, the value of the x is 11 and the measure of the angle B is 82 degrees.

Learn more about the vertically opposite angles here:

brainly.com/question/24287162

#SPJ5

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Answer:

\frac{2}{\sqrt{2} } = \sqrt{2}

Step-by-step explanation:

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8 0
3 years ago
Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i
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Answer:

35\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

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n=7\\r=3

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C(7,3)=\frac{7!}{3!(7-3)!}\\\\C(7,3)=\frac{7!}{3!(4)!}

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C(7,3)=\frac{(7)(6)(5)}{(3)(2)(1)}

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6 0
3 years ago
granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients.
azamat

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

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When 3 is the solution

4(3)+5=27

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Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

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The solution to the equation is 5 1/2

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