Can someone help me with this please?

dexar [7]

Answer:

x=3

Step-by-step explanation:

We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.

First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x

Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180

180-45x+25x+57+x=180

237 - 19x = 180

57 = 19x

x=3

Let me know if you need any further explanation.

7 0

3 years ago

Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea

Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

week and then increases the number of miles he runs by 10% each

week.

To find - If he keeps up this plan for 11 weeks, how many total miles would

Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857 + 10% of 24.801857 = 24.801857 + 2.4801857 = 27.2820427

9th week = 27.2820427 + 10% of 27.2820427 = 27.2820427+ 2.72820427 = 30.01024697

10th week = 30.01024697 + 10% of 30.01024697 = 30.01024697 + 3.001024697 = 33.01127167

11th week = 33.01127167 + 10% of 33.01127167 = 33.01127167 + 3.301127167 = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.

8 0

3 years ago

A computer that cost 1099 last year costs 999 this year. What is the percent of change in price rounded to the nearest tenth?

Damm [24]

Answer:

19%

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

Rapunzel started counting flowers in a meadow. 5 of the first 15 were yellow. If this trend continues and she counts 6 more flow

kotegsom [21]

Answer:

2

Step-by-step explanation:

5 of 15. is 1/3

1/3 of 6 is equal to 2

6 0

3 years ago

Read 2 more answers

14. Solve: (a) 2y - 1/2 = -1/3 (b) 6 + 5 (a - 1) = 30

Strike441 [17]

A)2y - 1/2 = -1/3

2y=-1/3+1/2

FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS

LCM OF 3 AND 2 IS 6

-1/3*2=-2/6

1/2*3=3/6

-2/6+3/6=1/6

2y=1/6

y=1/6 ÷ 2

TAKING THE RECIPROCAL,

RECIPROCAL OF 2 IS 1/2

y=1/6*1/2

y=1/12

B) 6 + 5 (a - 1) = 30

6+(5)*(a)+(5)*(−1)=30(Distribute)

6+5a+−5=30

(5a)+(6+−5)=30(Combine Like Terms)

5a+1=30

5a=30-1

5a=29

a=29/5

15.sum of three consecutive integers=48

let the numbers be x ,x+1,x+2

x+x+1+x+2==48

3x+3=48

3x=48-3

3x=45

x=45/3

x=15

x+1=15+1=16

x+2=15+2=17

the numbers are 15,16,17

7 0

3 years ago