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Darina [25.2K]
4 years ago
10

Help me with this please

Mathematics
1 answer:
skad [1K]4 years ago
8 0
These are alternate interior and supplementary angles. to see which ones are equal, slide the (9x+12) down to the other intersection next to the 3x. Do you see that 3x and (9x+12) combine to make a straight line (supplementary, 180 degrees)? The angles across from each other are equal. So (9x+12) and (4y-10) are equal.

first solve for x
9x+12+3x = 180
12x+12 = 180
12(x+1) = 180
x+1 = 180/12
x+1=15
x = 14

now set the other angles equal
9(14) + 12 = 4y -10
126 + 12 = 4y - 10
138 = 4y - 10
138 + 10 = 4y
148 = 4y
148/4 = y
37 = y
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Simplify: 3 · 32 + 8 ÷ 2 − (4 + 3)
Law Incorporation [45]

Answer: 93

Step-by-step explanation:

To solve this we need to follow BIDMAS.

The order of calculations is brackets, division, then multiplication, then addition, then subtraction.

1) (4 + 3) = 7

2) Division: 8 / 2 = 4

3) Multiplication: 3 * 32 = 96

This leaves us with:

96 + 4 - 7

This equals 93.

3 0
3 years ago
Read 2 more answers
I dont know how to do this question
Inessa05 [86]

9514 1404 393

Answer:

  7 1/3 hours

Step-by-step explanation:

We are to assume that the total number of heater-hours required is a constant. That is, the time is inversely proportional to the number of heaters.

If the number of heaters goes up by a factor of 6/4 = 3/2, then the number of hours will go down by the inverse factor: 2/3.

With 6 heaters instead of 4, the time required is (2/3)(11 hours) = 7 1/3 hours.

6 0
3 years ago
8 t-shirts and a hat costs £42.00
AleksandrR [38]

Answer:

<h2>1 t-shirt cost $5</h2><h2>hat costs $2</h2>

Step-by-step explanation:

8 t-shirts and a hat cost £42.00

3 t-shirts and a hat cost £17.00.

<u>difference</u>

5 t-shirts cost $25

1 t-shirt cost $5

3 t-shirts cost $15

3 t-shirts and a hat cost £17.00.

<u>difference</u>

hat costs $2

3 0
3 years ago
Axis of symmetry of f(x)=(x+3)^2-8
Anna007 [38]

<u>ANSWER</u>

x =  - 3

<u>EXPLANATION</u>

When a quadratic equation is in the vertex form,

f(x) = a {(x - h)}^{2}  + k

the equation of axis of symmetry is simply

x = h

The given quadratic equation is

f(x) =  {(x + 3)}^{2}  - 8

We can rewrite this as

f(x) =  {(x  -  -  3)}^{2}  - 8

We now compare to

f(x) = a {(x - h)}^{2}  + k

We have

h =  - 3 \:  \:  \: and \:  \: k =  - 8

Therefore equation of axis of symmetry is:

x =  - 3

7 0
3 years ago
Solve for y and find the value of y for each value of x<br><br> x + 2/y - 3 = 1 x = -1, 0, 1
kvasek [131]

Answer:

2x 2y -1

Step-by-step explanation:

x plus 1x equals 2x and 2y equals 2 y and 1 plus 1 minus 3

7 0
3 years ago
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