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alexandr1967 [171]
3 years ago
12

Geometry math question no Guessing and Please show work

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Here we have to use the theorem tht exterior angle is the sum of non adjacent interior angles. That is ,

z = x+y

And the values of x,y and z are given in terms of n. On substituting these values for x,y and z, we will get

151-5n = 4n-18+n+9

Combining like terms of the right side

151-5n = 5n -9

Moving 5n to the right side and 9 to the left side,

151+9 = 5n+5n

160=10n

Dividing both sides by 10

n = 16

Now we need to find the value of z when n =16. SO we substitute the value of n in z, that is

z =151-5(16) =151-80 = 71 degree .

So the correct option is A

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Martha biked 55 miles per day and Enrico biked 145 miles every 3 days. After 6 days, which statement correctly compares the numb
masha68 [24]

Answer:

After 6 days Martha biked 330 miles, while Enrico biked 290 miles.

Step-by-step explanation:

i. Martha bikes 55 miles per day.

So that after 6 days, Martha would have covered;

55 miles x 6 = 330 miles

After 6 days, Martha would have biked 330 miles.

ii. Enrico bikes 145 miles every 3 days.

Then after 6 days, Enrico would have covered;

\frac{6 days}{3 days} x 145 miles

= 2 x 145 miles

= 290 miles

After 6 days, Enrico would have biked 290 miles.

After 6 days Martha biked 330 miles, while Enrico biked 290 miles.

7 0
3 years ago
Show your work for 11-12
Troyanec [42]

Answer:

11.

5x=3x+28

5x=3x+282x=28

5x=3x+282x=28x=14

12. Image

Step-by-step explanation:

<u>Please give brainliest if I helped! :)</u>

6 0
3 years ago
Which relationship is always true for the angles x, y, and z of triangle ABC?
stich3 [128]
C because all the angles have to add up to 180
4 0
4 years ago
Read 2 more answers
For her cellular service, Vera pays $32 a month, plus $0.75 for each minute over the allowed minutes in her plan. Write an expre
svlad2 [7]
Well, "m" represent $32 she spends a month and "t" be the $0.75 for each minute will be.

First, since the bill is for one month, we can place "m" by itself with no add-ons to it since it's been stated only a month is going by and it stays $32. However, depending of "t" the price can change without the original monthly plan changing, so we write it like m + (t . x). "x" represent every minute spent over the time limit, so it's "t" times "x" since whatever "t" is is determined by "x". If "x" is 0, then "t" is 0 since nothing is added and it'd remain $32. If say "x" was 10 however, that would mean 10 minutes have gone over the limit, so 0.75 x 10 would be $7.50 + $32 making it $39.50. 
Your answer is m + (t . x)
Note: "m" and "t" can be different if you choose.
7 0
3 years ago
Sonji correctly added 2p+1/p-8 and 3p-3/4p and got 8p^2+4p+3p-27p+24/(p-8)(4p). What is the simplified sum?
RUDIKE [14]

Answer:

The simplified sum is \frac{11p^{2}-23p+24}{(p-8)4p}

Step-by-step explanation:  

we have

\frac{2p+1}{p-8}+\frac{3p-3}{4p}=\frac{4p(2p+1)+(p-8)(3p-3)}{(p-8)4p}\\ \\=\frac{8p^{2}+4p+3p^{2}-3p-24p+24}{(p-8)4p}\\ \\ =\frac{11p^{2}-23p+24}{(p-8)4p}

4 0
3 years ago
Read 2 more answers
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