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notka56 [123]
3 years ago
14

If R is the midpoint of QS , QR = 8x - 51 and RS = 3x-6 whafs is QS.

Mathematics
2 answers:
Rufina [12.5K]3 years ago
5 0

Answer:

438 units

Step-by-step explanation:

Given :R is the midpoint of QS , QR = 8x - 51 and RS = 3x-6

To Find : What is QS?

Solution:

Since R is the Mid Point of QAS

So, QR = RS

8x - 51=3x-6

8x - 3x=51-6

5x=45

x=9

QS = QR+RS

QS= 8x-51+3x-6

QS= 11x-57

x = 45

QS= 11(45)-57

QS= 438

Hence the length of QS is 438 units .

RoseWind [281]3 years ago
3 0
If R is the midpoint, then R splits QS into 2 equal sections. Therefore, QR = RS.

8x - 51 = 3x - 6
8x - 3x = -6 + 51
5x = 45
x = 45/5
x = 9

so QR = 8(9) - 51 : 72 - 51 = 21 and RS = 3(9) - 6 = 27 - 6 = 21
so QS = 21 + 21 = 42 <==
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3 years ago
Let E be the event where the sum of two rolled dice is even. List the outcomes in Ec (complement of E)
d1i1m1o1n [39]

We have an event E that represent the outcomes where the sum of the two rolled dice is even.

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5 0
1 year ago
1 find the least number between 200 and 500 which leaves a reminder of 3 in each case when devided by 8,10,12 and 30
Anna35 [415]
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x=M₈ +3

x:10=c2 reminder 3
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x:12=c3 reminder 3
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x=M₃₀ +3

x=[M₈;M₁₀;M₁₂;M₃₀]+3

8=2³
10=2* 5
12=2² * 3
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x=16*15+3
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x=360+3
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x=8*5*3*4+3
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x=8*5² *3+3
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4 0
3 years ago
-6x+5-4(x-1)=-4x-(5x-3)+4
ANEK [815]
Hello there!

-6x + 5 - 4(x - 1) = -4x - (5x - 3) + 4

We need to use the distributive form

-6x + 5 + (-4)(x) + (-4)(-1) = -4x - 5x + 3 + 4

-6x + 5 - 4x + 4 = -4x - 5x + 3 + 4

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Now we can subtract 9 from both sides

-10x + 9 - 9 = -9x + 7 - 9

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Add 9x to both sides

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We cannot leave it with a negative sign, divide both sides by -1

-x/-1 = -2/-1

x = 2

I hope the steps are clear to understand. If you have any misunderstanding feel free to let me know.

As always, I am here to help!
5 0
3 years ago
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