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4 years ago

If m1 = 10x + 4 and m2 = 5x - 4, find m2.

Mathematics

2 answers:

Bad White [126]4 years ago

7 0

Answer:

8/5

Step-by-step explanation:

First you set both equations equal to eachother.10x+4=5x-4 Then you solve. First by subtracting 4 from both sides. You get 10x=5x-8. Then you subtract 5x=-8. Divide by five on both sides and you get -8/-5, which is 8/5

elixir [45]4 years ago

6 0

Answer:

-12

Step-by-step explanation:

Since m1 = 10x + 4 and m2 = 5x - 4 then we can write it as:

10x+4=5x-4

Combine the like terms:

10x-5x=-4-4

5x=-8

Divide both sides by 5

5x= -8/5

x=-8/5

Now substitute the value of x in 5x-4

= 5(-8/5) - 4

= -8-4

= -12

Thus m2 = -12....

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The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt

NemiM [27]

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are $(-1,-2)$ and $(2,-1)$ .

The length of the side RS is equal to the distance between point R and S.

RS $=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}$

$=\sqrt{3^2+(-1+2)^2}$

$=\sqrt{9+1}=\sqrt{10}=3.16$

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

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Help geometry bisecting angles

dusya [7]

Since the angles are bisecting < RSU = < UST

substitution----- 4x+16=9x-9

subtract 4x from both sides----- 16=5x-9

add 9 to both sides-----25=5x

divide by 5 on both sides------ 5=x

The value of x is 5

substitute the value of x in both expressions

1st expression: 4x+16

substitute the value of x------ 4(5)+16= 20+16=36

2nd expression: 9x-9

substitute the value of x-----9(5)-9=45-9=36

< RST= <RSU+<UST

<RSU=36 degrees

<UST= 36 degrees

------------------------------------you have calculated both above-------------------------------------------

m<RST= 36 + 36=72 degrees

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3 years ago