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4 years ago

Need help this math problem

Mathematics

1 answer:

Evgen [1.6K]4 years ago

4 0

Answer:

x = -10
m∠RNP = 32

Step-by-step explanation:

Assuming ray NR is the middle one, the angles add up like this:

m∠MNR + m∠RNP = m∠MNP

Substituting the given relations, ...

-2(x -4) + (-(3x -2)) = -2 - (6x -2)

-2x +8 -3x +2 = -2 -6x +2 . . . . . eliminate parentheses

-5x +10 = -6x . . . . . . . . . . . . . . . collect terms

x +10 = 0 . . . . . . . . . . . . . . . . . . . add 6x

x = -10 . . . . . . . . . . . . . . . . . . . . . subtract 10

Then the angle of interest is ...

m∠RNP = -(3x -2) = -(3·(-10) -2) = -(-32)

m∠RNP = 32

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Braxton loves downloading new music he originally had 41 songs but plans to purchase 4 new songs each week. he wants to know how

ycow [4]

Answer:

$a_110=41+(110-1)4$

Step-by-step explanation:

He already has songs = 41

Since we are given that he purchase four songs every week .

So, in first week he purchase songs = 4

Initially he already has 41 songs

So, total songs after 1 week = $41+(4\times1)=45$

After 2 weeks he will have songs = $41+(4\times 2)=49$

This forms an arithmetic sequence : 41,45,49......

Formula of nth term in A.P. : $a_n=a+(n-1)d$

a = first term = 41

d = common difference = 45-41=49-45=4

Since we are required to find the new songs after110 weeks

So, n =110

Substituting values :

$a_110=41+(110-1)4$

Thus Option A is correct.

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3 years ago

Paige bought 34 yards of yarn at the store and 2⁄9 of the yarn was blue. How many yards of blue yarn did Paige buy?

never [62]

For this case we observe that we have a percentage of blue thread which will be given by:
(2/9) * (100) = 22.22222222%
Making the following rule of three we have:
34 ----> 100%
x ------> 22.22222222%
Clearing x we have:
x = ((22.22222222) / (100)) * (34)
x = 7.555555555
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Answer:
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3 years ago

Write an expression that represents the<br> perimeter of this picture frame.

Nitella [24]

Answer:

6x+2

Step-by-step explanation:

The perimeter is all of the sides added together.

We know that in a rectangle, sides that are parallel to each other are the same.

So, to find the expression that represents the perimeter, you have to multiply 2x+1 by 2 and x by 2 and add both of those together.

(2*(2x+1))+(2*(x))

(4x+2)+(2x)

4x+2+2x

6x+2

7 0

3 years ago

Consider the intersecting lines shown. Which of the following statements is true?

elixir [45]

Answer:

C. m∠x + m∠y = 180

Step-by-step explanation:

The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.

The only statement from the given options that is true is m∠x + m∠y = 180.

This is because they are angles in a straight line. The sun of angles in a straight line is 180°.

3 0

3 years ago

What are the coordinates of point S? On a coordinate plane, point S is 0.75 units to the left and 0.5 units up. (Negative three-

ZanzabumX [31]

Answer:

The coordinates of S is $( \frac{-3}{4}, \frac{1}{2})$

Step-by-step explanation:

We are supposed to find the coordinates of point S

Point S is 0.75 units to the left

So, x coordinate of point S = -0.75 = $\frac{-3}{4}$

Now we are given that point S is 0.5 units up.

So, y coordinate of point S = 0.5 = $\frac{1}{2}$

So, The coordinates of S is $( \frac{-3}{4}, \frac{1}{2})$

So, Option A is true .

8 0

4 years ago

Need help this math problem ​

Need help this math problem