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Katarina [22]
3 years ago
9

HELP PLEASE 15 POINTS!!!MATHEMATICS!!

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

Answer:

a

Step-by-step explanation:

the double mark means it is equal with the othe double marks and same for the single ones so angles t and g are equal and sides tu and gf r equal and finally angles u and f are equal

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Solve the system of equations 7x+10y=36 y=2x+9
Damm [24]

Answer:

x = -2

y = 5

Step-by-step explanation:

Given two equations

1. 7x + 10y = 36

2. y = 2x + 9

Substitute 2x + 9 for y in equation 1.

We have

7x + 10y = 36

7x + 10(2x + 9) = 36

Distribute 10 into (2x + 9)

We have

7x + 10 x 2x + 10 x 9 = 36

7x + 20x + 90 = 36

27x + 90 = 36

Subtract 90 from both sides to eliminate 90 on the left side

27x + 90 - 90 = 36 - 90

27x = -54

Divide both sides by 27 to isolate x

27x/27 = -54/27

x = -2

Now substitute -2 into either equation to get y

Using equation 2, we have

y = 2x + 9

= 2 x -2 + 9

= -4 + 9

= 5

x = -2

y = 5

Check

7(-2) + 10(5) = 36

5 0
3 years ago
A reflecting pool is shaped like a square with a side length of 4 meters. What is the perimeter of the​ pool? Explain how you fo
True [87]

Answer:

16 meters.

Step-by-step explanation:

There are two things to keep in mind at this point, the first is that a square has all its sides equal and the second is that the perimeter in this type of figure is the sum of all the sides.

Knowing the above, we can deduce that therefore each side of the square measures 4 meters and the perimeter could be calculated since we know the value of all the sides, we know that a square has four sides:

p = 4 +4 +4 +4

p = 16

that is to say that the perimeter is equal to 16 meters.

6 0
3 years ago
What is the result of subtracting the second equation from the first?
gtnhenbr [62]
This is the answer with explanation

4 0
2 years ago
Becky put $100 into in the account to use for school expenses. The account earns 11% interest, compounded annually. How much wil
Mnenie [13.5K]

Answer: $187 will be in the account after 6 years.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $100

r = 11% = 11/100 = 0.11

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 100(1 + 0.11/1)^1 × 6

A = 100(1 + 0.11)^6

A = 100(1.11)^6

A = $187

5 0
3 years ago
What number can I put in the denominator?<br> 1<br> 8<br> 7
Zigmanuir [339]

Answer:

The LCD denominator is 1

Step-by-step explanation:

4 0
2 years ago
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