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max2010maxim [7]
3 years ago
9

MZRSK = x + 53, m KST = x + 109, and mZRST = 156º Find x.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0

Answer:

-3 = x

Step-by-step explanation:

Since we are not given a midpoint, we use the Angle Addition Postulate:

156 = [x + 109] + [x + 53]

156 = 162 + 2x

-162 - 162

_______________

−6 = 2x

___ ___

2 2

−3 = x

[−3 + 53] + [−3 + 109] = 156

50 106

156 = 156 ☑

Therefore, -3 = xis a genuine statement.

I am joyous to assist you anytime.

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11x = -29<br>What is x as an improper fraction in its simplest form.​
ozzi

Answer:

\huge\boxed{Answer\hookleftarrow}

11x =  - 29 \\ x =  \frac{ - 29}{11}

⎆ The answer will be <u>-29/11</u>. This answer cannot be further simplified.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

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3 years ago
Find the equation of the line through point (8, -9) and perpendicular to 3x +8y =4
gregori [183]

Answer:

3y = 8x - 91

y = 8/3 * x - 30 1/3

Step-by-step explanation:

First we can find the slope of the second line.

Let's rewrite the equation as 8y=44-3x.

After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got

-9 = 8/3 * 8 +b

Now we need to solve the equation to find b

b =-91/3 or -30 1/3

7 0
2 years ago
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melisa1 [442]

Answer:

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Step-by-step explanation:

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$50 divided by $0.12 = 416.667

In realistic terms 416 whole miles can be driven under the $50 budget.

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3 years ago
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IrinaVladis [17]

Step-by-step explanation:

not all is really visible. so, I am not sure, if I miss any important answer option.

but in any case, all of these questions can be easily solved by simply using a calculator. the same thing I am doing now.

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Answer:

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Step-by-step explanation:

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