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Vilka [71]
2 years ago
13

How would I set up question one?

Mathematics
1 answer:
Darina [25.2K]2 years ago
8 0

A straight line is 180 degrees:

25x + 8 + 9x + 2 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34:

X = 5

Now solve the smaller angle:

9x + 2 = 9(5) + 2 = 45 + 2 = 47

They angle with the y is a vertical angle to 47 so needs to also equal 47:

7y + 5 = 47

Subtract 5 from both sides:

7y = 42

Divide both sides by 7:

Y = 6

Answer: x = 5, y = 6

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Determine the x and y intercepts
kakasveta [241]
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)

Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).
5 0
3 years ago
Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get
artcher [175]
The number is 6.25.

We will set up an equation for this.  Let x be the unknown number.  Subtracting 1.05 from it gives us

(x-1.05)

Multiplying the difference by 0.8 would give us

0.8(x-1.05)

Adding 2.84 to the product would give us

0.8(x-1.05)+2.84

Dividing the sum by 0.01 would give us

[0.8(x-1.05)+2.84]/0.01 = 700

We will start working backward, cancelling the division by 0.01 first by multiplying:

([0.8(x-1.05)+2.84]/0.01)*0.01 = 700*0.01

0.8(x-1.05)+2.84 =7

Subtract 2.84 from both sides:
0.8(x-1.05)+2.84-2.84 = 7-2.84
0.8(x-1.05) = 4.16

Use the distributive property on the left side:
0.8*x - 0.8*1.05 = 4.16
0.8x - 0.84 = 4.16

Add 0.84 to both sides:
0.8x - 0.84+0.84 = 4.16+0.84
0.8x = 5

Divide both sides by 0.8:
0.8x/0.8 = 5/0.8
x = 6.25
5 0
3 years ago
Read 2 more answers
9. An item is priced al $13.62. If the sales tax is 6%, what does the
zheka24 [161]

Answer:

A (14.44)

Step-by-step explanation:

13.62 multiplied by 6%= 0.8172

Add 13.62 and 0.8172= 14.4372

Round to the hundredths=14.44

5 0
3 years ago
There were n signers of the Declaration of Independence. The oldest was Benjamin Franklin, who was y years old. 7 is 10% of y an
zvonat [6]
Assuming n is the number of signers.

7 is 10% of y.
7 = 0.1y
y = 70

n is 80% of y
n = 0.8y
n = 0.8(70)
n = 56
56 signers
8 0
3 years ago
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Tatiana [17]

Answer:

The solution to this equation is x = 4

Step-by-step explanation:

To find this start with the original equation and subtract 10 from each side.

x + 10 = 14

x = 4

5 0
3 years ago
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