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just olya [345]
3 years ago
5

The figure below shows two parallel lines intersected by a third line. What is the value of x

Mathematics
2 answers:
Alina [70]3 years ago
6 0

..Its ...13 º .......

lisabon 2012 [21]3 years ago
4 0

Answer:

x = 20

Step-by-step explanation:

The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:

(4x)° = (x + 60)°

Use the equation to solve for the value of x

4x = x + 60

Subtract x from both sides

4x - x = x + 60 - x

3x = 60

Divide both sides by 3

\frac{3x}{3} = \frac{60}{3}

x = 20

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Chef Selena is making her special dish that requires pasta, sauce, and onions.
PilotLPTM [1.2K]

Answer:

A and D. She can make 32 servings in total.

Step-by-step explanation:

This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.

5 1/8 + 4 7/8 + 6 = 16

This is choice A.

Then she must divide this by 1/2 because each serving is 1/2 pound.

16 ÷ 1/2 = 32

That is choice D.

7 0
3 years ago
Bret needs 450 packs of paper for next week. He has 284 packs of paper. How many more packs of paper dose bret need?
gulaghasi [49]

Answer:

166 packs

Step-by-step explanation:

Data obtained from the question include:

Total pack of paper needed by Bret 450 packs

Bret currently has = 284 packs

The remaining packs of paper needed by Bret = 450 — 284 = 166 packs

5 0
3 years ago
Read 2 more answers
Please help me thanks
Oliga [24]

Answer:

3

Step-by-step explanation:

equation, y=3x, because when x is 1, y is 3, so the equation is y=3x, and the slope is equal to how much of x is equal to y, so 3

Pls brainliest

3 0
2 years ago
Read 2 more answers
A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.
Allisa [31]
By definition, the sine of an angle is given by:
 sin \alpha =  \frac{C.O}{h}
 Where,
 C.O: opposite leg
 h: hypotenuse
 The hypotenuse is given by:
 h =  \sqrt{(-6)^2+(5)^2}
 h =  \sqrt{(61}
 So, replacing values we have:
 sin \alpha = \frac{5}{\sqrt{61}}
 Rewriting we have:
 sin \alpha = \frac{5\sqrt{61}}{61}
 Answer:
 
the sine value of this function is:
 
A)5 times square root 61 over 61
6 0
3 years ago
Read 2 more answers
Plz help meeeeeeeeeee
PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

8 0
2 years ago
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