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2 years ago

9Find -18 + (-67). Show your work.

Mathematics

1 answer:

polet [3.4K]2 years ago

3 0

Answer:

-85

Explanation:

Given the mathematical expression:

$-18+(-67)$

First, we recall the product of signs.

$+\times-=-$

So, first, we open the bracket:

$-18+(-67)=-18-67$

We then simplify:

$=-85$

The result is -85.

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Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

∠XVR = 180 - 55°

∠XVR = 125°

2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

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4. ∠RST = <R + <RVS (exterior angle theorem)

<RST = 55 + 55

<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

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6. ∠VSU = <RST (vertical angles are congruent)

<VSU = 70°

7. ∠UST = <RSV (vertical angles)

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8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

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3 years ago

Which set of points includes all of the solutions for y = negative three halves times x plus two? line going through 0 comma 2 a

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Answer:

$(x,-\frac{3}{2} x+2)$

Step-by-step explanation:

For $y= \frac{-3}{2} x+2$ the set of points that include all solutions are $(x,y)$ such that $y= \frac{-3}{2} x+2$ ; then we have $(x,y)=(x,\frac{-3}{2} x+2)$ .

What is important to stress here is that $(x,-\frac{3}{2} x+2)$ represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)

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