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The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Let the interior alternate angle to 65° be y.

Now, y=65°  (Alternate interior angles are equal)

Here, y°+x°=180° (Adjacent angles)

65°+x°=180°

x°=115°

Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

brainly.com/question/28380652.

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Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.

Answer:

1

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

Answer:

Step-by-step explanation:

Given

Rearranging the ratios:

Comparing the values of y:

Answer: Here are the answers. I walked you through 16 in my answer.

16. 3x=2y

    1 =y-x

x=2 and y=3  

17. $2.15=.10d+.05n

      d=30-n

There are 17 nickels and 13 dimes

18. 18=4x+5y  (since that's the total amount of holes and each par is either 4 or 5 strokes each)

     4x=79-5y  (since there are 79 total strokes and each was either 4 or 5)

No solution

Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal  to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.

3x=2y                      

               so          3x=2(x+1)

y=x+1  

3x=2(x+1)                 --- orig equation

3x=2x+2                   --- distributive property (Multiplied x+1 by 2)

x=2                           ---- subtracted 2x from both sides

**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).

For 18, the lines are parallel so they never intersect. There is no solution.

answer:

16. 3x = 2y, 1 = y - x → 2, 3

17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels

18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6

i hope this helps!! ♡

Answer: The missing angle is 13°

Step-by-step explanation:

Let ∠B

be the missing angle.

Let ∠A

be the angle that measures

77∘Let ∠C

the right angle that measures

90∘

The following is true of all triangles:

∠A+∠B+∠C=180∘

Express the above equation as

∠B

in terms of the other angles:

∠B=180∘−∠A−∠C

Substitute the values for ∠A and ∠C

∠B=180∘−77∘−90∘

∠B=13∘

Answer:

A) 4x+12y

B) 2(2x+6y) is one way to do it

Step-by-step explanation:

1+1+2 is 4 and 12y cannot be added to anything.

2 x 2 is 2 ans 6 x 2 is 12

Answer:

1.3245

Step-by-step explanation:

Which  calculation can be used to find the number of rows of

cupcakes Victor makes?you can use b and c

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

distance must positive

so, 25-12

=13

Answer:

the other answer is zero.

Step-by-step explanation:

Step 1: Use the vertex form, [tex]y=a(x-h)^2+k[/tex], to determine the values of a, h, and k. The "k" value is always the "y" value in a ordered pair. Since there is no "k" value, the "k" value will just be zero. In turn, since the "k" value is zero... so will the "y" value be zero.

[tex]a=8\\\\h=21\\\\k=0[/tex]

Answer:

x=24

Step-by-step explanation:

2/3x+7=23

2/3x=16

x=24

Answer:

25%

Step-by-step explanation:

Looking at the attached diagram, we can see that the box plot is divided into 3 sections,

Q1 = First Quartile (1/4 the players) = 25%

Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%

Q3 = Third Quartile (3/4 of the players) = 75%

From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below

The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%

= 25%

The percentage of players weighing greater than or equal to 242 pounds is 25 %.

From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.

It means that 75% of the players weigh 242 pounds and below

Hence, The percentage of players weighing greater than or equal to 242 pounds is,

                 [tex]100-75=25[/tex]

Learn more about the Quartile here:

https://brainly.com/question/10005803

Answer:

Step-by-step explanation:

Actual question is:

Solution:

If we assume f = 4, then

but log4 4 = 1

Therefore the statement is False

Answer:

39

Step-by-step explanation:

Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).

Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).

Answer:

1412

Step-by-step explanation:

2*(3 - 13) + 1442 - (5 * 2)

Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.

6 - 26 + 1442 - 10

Now simplify the expression by adding and subtracting the terms.

1412 is the answer.

#teamtrees #WAP (Water And Plant)

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

Answer:

Boi what?

Step-by-step explanation:

This is not a proper question. You need to include more information

Answer:

A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 times 4 is 20 divided by 2 is 10 hope this helps

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

Answer:

17

Step-by-step explanation:

The measure of angle R is 17°

A triangle is a polygon with three edges and three vertices.

Given is a triangle, PQR and measurements of the angles are given as, m∠P=(4x−14), m∠Q=(5x+6) and m∠R=(x−2)

We know that, the sum of the interior angles of a triangle is 180°

Therefore, ∠ P + ∠ R + ∠ Q = 180°

4x-14 + 5x+6 + x-2 = 180°

10x -10 = 180°

10x = 190°

x = 19°

Now, ∠ R = x-2

∴ ∠ R = 19-2

∠ R = 17°

Hence, the measure of angle R is 17°

For more references on triangles, click;

https://brainly.com/question/2773823

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Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14

Answer:

k = 2

Step-by-step explanation:

-8k + 6 = -10k + 10

-8k = -10k +4

2k = +4

2k / 2 = 4 / 2

k = 2

Answer:

the revenue act of 1862

Step-by-step explanation:

President Abraham Lincoln signed it