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kirza4 [7]
2 years ago
10

Need help with this pls

Mathematics
2 answers:
miss Akunina [59]2 years ago
7 0

Answer:

m ∠1 = 143°

Step-by-step explanation:

the linear line is equal to 180.

subtract 180 from 37 to find angle 1

to check your work add 143 to 37 to make sure it equals 180

Ipatiy [6.2K]2 years ago
3 0

Step-by-step explanation:

yes, the other answer is correct (except for the fact that you are subtracting 37 from 180 and not the other way around).

but to add about the why :

just look at the picture. when you imagine to rotate the line (that points away from the basic, horizontal line) around the point, where both lines meet, what do you get ? a circle. its center is that point, where both lines meet.

and on each side of the basic line there is therefore a half circle. and a half circle represents 180 degrees.

that is why always all angles above or below a line around a certain point sum up to 180 degrees.

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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term.
Simora [160]
Consecutive terms in an arithmetic sequence differ by a constant d. So

5k-1=2k+d
6k+2=5k-1+d
\implies\begin{cases}3k-d=1\\k-d=-3\end{cases}\implies k=2,d=5

Denote the n-th term in the sequence by a_n. Now that a_1=2, we have

a_n=a_{n-1}+5=a_{n-2}+2\cdot5=\cdots=a_1+(n-1)\cdot5

which means

a_8=2+(8-1)\cdot5=37
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Help.. solve for the given variable <br>-5(r - 6) + 3(-8 + 8r) = -32
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-5(r - 6) + 3(-8 + 8r) = -32

STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38

STEP 3: Divide both sides by 19.
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FINAL ANSWER: r  = -2</span></span></span>
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3 years ago
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Answer:

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