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vivado [14]
3 years ago
10

Please help me ASAP!!!

Mathematics
2 answers:
Zepler [3.9K]3 years ago
6 0

Answer:

x=32   y=35

Step-by-step explanation:

lana [24]3 years ago
4 0

Answer:

x=32, y=35

Step-by-step explanation:

<GOD=<HOC=90° ( vertical <s)

<x=<FOB=32° (vertical angles)

Now

x+23+90+y=180 (angles on a straight line add up to 180°)

32+23+90+y=180

145+y=180

y=180-145

y=35°

Hope it helps

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Which represents the solution set to the inequality<br> -1.5(4x + 1) &gt; 4.5 -2.5(x + 1)?
laila [671]
<h2><u>The solution set to inequality is:</u></h2>

\boxed{-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

-1.5(4x + 1) > 4.5 -2.5(x + 1)

We have to find the solution set to inequality

From given,

-1.5(4x + 1) > 4.5 -2.5(x + 1)\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4x+1\right)\cdot \:10>4.5\cdot \:10-2.5\left(x+1\right)\cdot \:10\\\\-15\left(4x+1\right)>45-25\left(x+1\right)

Expand

-60x -15 > 45 -25x - 25\\\\Simplify\\\\-60x-15>-25x +20

\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\-60x-15+15>-25x+20+15\\\\Simplify\\\\-60x>-25x+35\\\\\mathrm{Add\:}25x\mathrm{\:to\:both\:sides}\\\\-60x+25x>-25x+35+25x\\\\Simplify\\\\-35x>35\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-35x\right)\left(-1\right)

<em><u>Thus the solution set is:</u></em>

-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

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Step-by-step explanation:

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