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kap26 [50]
3 years ago
8

HELPPP!!!! 10 PTS!!

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Focus on the triangle. One angle measures 31+x, the bottom right measures 45 (it is supplementary to a 135 angle). The bottom left measures x+12 because it is opposite to the x+12 angle. The sum of interior angles of a triangle must be 180, so we have

(31+x)+45+(x+12)=180 \iff 2x+88=180 \iff 2x=92 \iff x=46

Angle y is supplementary with the x+12 angle, so we have

y=180-(x+12)=180-x-12=180-46-12=122

Finally, angle x+12 measures 46+12=58

alina1380 [7]3 years ago
5 0

Answer:

x=46

y=122

m angle (x+12)=58°

Step-by-step explanation:

31+x+45+12+x=180

2x+88=180

x=46

y=122

x+12=58°

You might be interested in
A woman jogs for 2 km at 8 km/h and then walks for 2 km
Artemon [7]

Answer:

  6 6/7 km/h

Step-by-step explanation:

The relations between speed, time, and distance are ...

  time = distance/speed

  speed = distance/time

__

So, to find the average speed, we need to know the total distance and the total time. The distances are given, but we need to compute the times.

  time jogging = (2 km)/(8 km/h) = 1/4 h

  time walking = (2 km)/(6 km/h) = 1/3 h

Then the woman's average speed is ...

  average speed = (total distance)/(total time) = (2 km + 2 km)/(1/4 h + 1/3 h)

  = (4 km)/(7/12 h) = 48/7 km/h

  = 6 6/7 km/h

3 0
3 years ago
Does -2(z+3)-z=-z-4(z+2) have one,zero or infinite solutions
Andrew [12]

Hello from MrBillDoesMath!

Answer:

One solution (z = -1)

Discussion:

-2(z+3)-z=-z-4(z+2)        =>

-2z -6 -z = -z -4z - 8       =>

-3z -6 = -5z -8                =>  add 6 to both sides

-2z = -5z -2                     => add 5z to both sides

3z = -5z +5z -3               =>

3z = -3                            =>

z = -1

Thank you,

MrB

6 0
3 years ago
Find 3 consecutive odd integers such that 4 times the sum of the first two is 62 less than the product of -30 and the third.
lorasvet [3.4K]

Answer:

Look below

Step-by-step explanation:

Pls, choose me as brainliest!

7 0
2 years ago
10x-5 9x+2 is my equation and I don’t know how to solve it I really need help,someone please help me solve it.
Ostrovityanka [42]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

  10 -9x -5 = 9x -9x +2

  x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

  x -5 +5 = 2 +5

  x = 7 . . . . simplify

The solution is x = 7.

_____

<em>Additional comment</em>

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

8 0
2 years ago
I need this answered asap !
gtnhenbr [62]

Answer:

Week 16

Step-by-step explanation:

Week 1: 3.5 miles  => 22.5 miles left

22.5/1.5 increments = 15 weeks

15 weeks + week 1 = 16th week

4 0
3 years ago
Read 2 more answers
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