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Mkey [24]
3 years ago
8

10 points. Please help me with numbers 9-13. Numbers 9-13 is the picture.

Mathematics
1 answer:
melomori [17]3 years ago
8 0

Answer:

x  = 18

y = 15

Step-by-step explanation:

Remark

Step One

The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.

<em><u>Conclusion from the Remark</u></em>

5x = 90

x = 90/5

x = 18 degrees

Step Two

Find y

y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.

So just add the 4 angles together and equate to 360

5(y + 11) + 4y  - 10 + 90 + 90 = 360     Combine like terms

5(y + 11) + 4y -  10 + 180 = 360            Combine again

5(y + 11) + 4y + 170 = 360                   Subtract 170 from both sides

5(y + 11) + 4y = 360 - 170                     Combine like terms

5(y + 11) + 4y = 190                             Remove the brackets

5y + 55 + y4 = 190                             Combine like terms

9y + 55 = 190                                     Subtract 55 from both sides.

9y = 190 - 55

9y = 135                                              Divide by 9

y = 135 / 9

y = 15

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If f(x)= x and g(x) = x + 6, find g(f(o)).
yarga [219]

Answer:

6

Step-by-step explanation:

f(x)= x

g(x) = x + 6,

g(f(o))

Let x = 0

f(0) = 0

g(f(0) = g(0) = 0+6 = 6

7 0
3 years ago
95% of 160<br> I need help with this question
Pani-rosa [81]
You can write it several ways. Here are two:

1) Proportion
160/1.00=x/0.95
(160 is the whole, 1.00 or 100%, and x is 95% of the whole. Solve for x.)
x=<u>160*0.95<em /></u>  = 152/1 = 152<u>
</u>         1.00

2) Simple multiplication expression
"of" in math almost always means "multiply"
95% becomes 0.95. Multiply 0.95 by 160 to get your answer.
0.95*160=152

Either way, you get <u><em /></u><em />152, so that is your final answer.



4 0
3 years ago
Read 2 more answers
Helppp meeeee pleaseeeee​
Irina18 [472]

Answer:

1.) 4

2.) -11

3.) -4

4. 19

Step-by-step explanation:

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3 years ago
If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?
avanturin [10]
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
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4 0
3 years ago
Thanks for the help pt.1​
erma4kov [3.2K]
(jk)(x)= j (k(x)) = j(9-2x)

= -7(9-2x) = -63 + 14x

but i see there is no such option. may be second option is typo.

so you can select 2nd option
4 0
3 years ago
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