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sweet-ann [11.9K]
3 years ago
12

X-3y=17 -6x+5y=-11 Solving systems by substitution

Mathematics
1 answer:
Nastasia [14]3 years ago
3 0
X=-4, y=-7
Good luck!!!!

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PLEASE HELP URGENT
ad-work [718]
Pick - d. 51 minutes
8 0
3 years ago
Please help me solve for x =
Sladkaya [172]

Answer:

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

\frac{ML}{NM} = \frac{ST}{PS}

\frac{8}{10} = \frac{x - 1}{x + 2}

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

\frac{26}{2} = \frac{2x}{2}

13 = x

Verify whether x = 13 is the correct value:

\frac{ML}{NM} = \frac{ST}{PS}

\frac{8}{10} = \frac{x - 1}{x + 2}

\frac{8/2}{10/2} = \frac{4}{5}

\frac{x -1}{x+2} =  \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}

This shows the proportional relationship between \frac{ML}{NM} = \frac{ST}{PS}, and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

4 0
3 years ago
The seventh grade boys at colonial Christian school removed 1/3 of the 558 chairs in the auditorium how many chairs did they rem
vekshin1
558 * 1/3 = 186
186 chairs
3 0
3 years ago
Find the m&lt;bac, if m&lt;dec= 58 and m&lt;edc =43<br>a. 43<br>b. 58<br>c. 79<br>d. 101
mamaluj [8]
We are looking to figure out the size of m<CAB
Since line AB is parallel to the line CD, m<CAB corresponds to m<ECD which means the size of the angles equals
m<ECD can be found by using the fact that angles in a triangle add up to 180°,
hence, 180°-58°-43°=79°

The size of m<CAB is 79°

5 0
3 years ago
Read 2 more answers
a box contains 20 blue marbes, 16 green marbles, and 14 red marbles. two marbles are selected at random. let 3 be the event that
Maksim231197 [3]

Answer:

Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.

Step-by-step explanation:

6 0
3 years ago
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