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Veseljchak [2.6K]
3 years ago
5

Identifying linear pairs and vertical angles

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

a. linear pair 5 & 6

b. pair of vertical angles 5 & 2

c. pair of angles that are congruent 3 & 8

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.

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Assume that y varies inversely with x. If y=9 when x=7, find y when x=2.
Aleks [24]

Answer:1.56

Step-by-step explanation:

For constant of proportionality of k,

y=(1/k)*x

If y =9,

9=7/k

K=7/9=0.78

y=0.78x

y=0.78*2=1.56

When x

4 0
3 years ago
Chad is planning on painting his bedroom and the living room. His rectangular bedroom measures 10 feet by 12 feet and each wall
rosijanka [135]

Answer:

The correct answer is 3 × 5 + 3 × 7 + 6 × 7 = 78 square feet.

Step-by-step explanation:

Measures of Chad's window is 36 inches by 60 inches = 3 feet by 5 feet.

Area of the window is 15 square feet.

Measures of Chad's door is 36 inches by 84 inches = 3 feet by 7 feet.

Area of the door is 21 square feet.

Measures of Chad's closet is 72 inches by 84 inches = 6 feet by 7 feet.

Area of the closet is 42 square feet.

Equation to show the total area of window, door and closet is 15 + 21 + 42 = 78 square feet.

6 0
3 years ago
Reducing Fractions<br> 30/90
fgiga [73]

Answer: 1/3

<u>Divide</u>

30/90÷30/30=1/3

Since we are simplifying fractions we divide the numerator and the denominator by a number the fraction can go into.

We could use 10 then divide by 3. You can also just divide by 30 and get the answer.

Let's try dividing by 10 then 3!

30/90÷10/10=3/9

3/9÷3/3=1/3

As you can see we still get 1/3 when we divide by 3. Even tho you have to divide twice you still get 1/3. That's all that matters.

3 0
3 years ago
A set of silverware contains 30 pieces. The set contains only spoons, forks, and knives. It contains the same number of spoons a
Tema [17]
Let the number of knife be x.
Knife = x
Spoon = 2x
forks = 2x

Total = 30
x + 2x + 2x = 30
5x = 30 
x = 6

Knife = x = 6
forks = 2x = 12
Spoon = 2x = 12

Answer: There are 12 forks.

5 0
3 years ago
Read 2 more answers
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
Mama L [17]

Answer:

N=250

Step-by-step explanation:

 "twice as many nickels as dimes"     means    N =2D     [eq1]

 "collection of nickels and dimes is worth $25"    means

        5N + 10D = 2500      [eq2]

   (To avoid using decimal points, PLZ express everything in cents.)

Substitution   (substitute N from eq1 into eq2]:

     5(2D) + 10D = 2500

      10D + 10D = 2500

          20D = 2500

            D = 125

      N=2D         [eq1 again]

      N=2(125)

      N=250

Check:

  Is   5(250) + 10(125) = 2500   ?

        1250 +  1250 = 2500   ?

          2500 = 2500   ?yes

7 0
3 years ago
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