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Amanda [17]
3 years ago
6

Find the value of x by filling in the blanks in the provided statement- reason solution

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer/Step-by-step explanation:

Given:

m<MNQ = 132°

m<Q = 54°

m<P = 3x

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle

Plug in the values

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

132 - 54 = 3x (substraction property of equality)

78 = 3x

78/3 = x (division property of equality)

26 = x

x = 26

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Triangle MNP has vertices M(5,4), N(5,9), and P(−1,4). What are the coordinates of the image of point P after the triangle is ro
Diano4ka-milaya [45]

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P' (1, -4)

Step-by-step explanation:

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5 0
2 years ago
The sum of two numbers is 100 and their difference is -20. What are the two numbers?
salantis [7]

Answer:

x=40 and y= 60

Step-by-step explanation:

<u>step:1</u>

Let 'x' and 'y' are two numbers

given data the sum of two numbers is 100

x+y = 100......(1)

Given difference of two numbers are

x - y = -20 ......(2)

<u>Step :2</u>

solving the equation (1) and (2)

adding the equations (1) and (2)

x+y+x-y=100-20

cancelling 'y' terms are

2 x = 80

dividing "2" on both sides, we get

x = 40

<u>Step :3</u>

substitute x = 40 in equation (1)

x + y =100

40 + y = 100

subtracting "40" on both sides, we get

40 + y - 40 = 100 -40

y = 60

Final answer:-

The two numbers are x = 40 and y= 60

3 0
4 years ago
Stephen averaged 32.3 points a game. LeBron averaged 29.4 points a game. What was the difference between their averages?
Lynna [10]
Stephen avenged 2.9 points more then lebron
3 0
4 years ago
I need help on the 3 of them
Tamiku [17]

Answer:

1) 75 minutes / 1hour 15minutes

Step-by-step explanation:

to get one question done takes (45 ÷ 12) minutes. then times by 20.

Answer

2) I'm not too sure, I got 208.3 reoccurring, but that doesn't seem right so sorry if it's wrong

Answer

3)168 girls

step-by-step explanation

364 ÷ (6+7) × 6

6 0
3 years ago
The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t
Alex73 [517]

Answer:

Q#1.total number of T-shirts for  total cost to be equal=10

Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company

Q#3.total of $105 for each company.


Step-by-step explanation:

Q#1

two functions are given

y=10.5x

y=7.5x+30

where y represents cost and x represents number of shirts

we have to find number of shirts to be purchased from each company keeping cost equal

hence we will write

10.5x=7.5x+30

10.5x-7.5x=30

3x=30

x=30/3

x=10

Number of shirts to be equal cost price is 10

Q#2

two functions are given

y=10.5x

y=7.5x+30

where y represents cost and x represents number of shirts

we have to find number of shirts to be purchased from each company keeping cost equal

hence we will write

10.5x=7.5x+30

10.5x-7.5x=30

3x=30

x=30/3

Number of shirts =x=10

Q#3

total cost=y=?

for y=10.5x

put x=10

y=10.5*10

cost=y=105

and for other function

for y=7.5x+30

put x=10

y=7.5(10)+30

y=75+30=105

8 0
4 years ago
Read 2 more answers
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