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melisa1 [442]
3 years ago
15

Easy algebra but i don't know how to do it lol

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0
-5 +25-10m ≥ 60
20-10m ≥60
-10m ≥40
m ≤ -4 note flip equality sign because diving by a negative number

5 (4n+5)-4 ≤ 101
20n +25-4 ≤101
20 n +21 ≤ 101
20n ≤ 80
n ≤ 4

3(4-5p) -4 ≥ -67
12 -15p-4 ≥ -67
8 -15p ≥ -67
-15p ≥ -75
p ≤ 15 also flipped sign

-3(5m+2). &lt 54
-15m -6 &It 54
-15 m &Lt 60
m &lt -4

( I don’t know what sign &lt means I am assuming less than ? Just put the appropriate sign )

3x -4 (-5x+3) ≥ 57
3x +20x -12 ≥ 57
23x -12 ≥ 57
23x ≥ 69
x ≥ 3
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Answer:

<em>The length of RS is 47 units</em>

Step-by-step explanation:

<u>Midsegment Theorem</u>

The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.

The length of the midsegment of a trapezoid is the average of the lengths of the bases.

The midsegment of the given trapezoid is VW, and the bases are RS and UT.

According to the midsegment theorem:

\displaystyle VW=\frac{RS+UT}{2}

Substituting the variable lengths of the sides:

\displaystyle 3x+5=\frac{2x+15+6x-37}{2}

Operating:

\displaystyle 3x+5=\frac{8x-22}{2}

Dividing the fraction:

3x+5=4x-11

Rearranging:

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Operating:

x=16

The length of RS is:

RS=2x+15=2*16+15=32+15=47

The lenght of RS is 47 units

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Lesechka [4]
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Answer:

slope = - 4

Step-by-step explanation:

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