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Luden [163]
3 years ago
5

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Mathematics
1 answer:
KatRina [158]3 years ago
5 0
AB = AU + UB = 20x + 108 + 273 = 20x + 381

\cfrac{AU}{AB} =\cfrac{UV}{BC}    \\  \\  \cfrac{20x+108}{20x+381} =\cfrac{444}{703}   \\  \\ 703(20x+108)=444(20x+381)\\\\14060x+75924=8880x+169164 \\  \\ 14060x-8880x = 169164 - 75924 \\  \\ 5180x = 93240 \\  \\ x=93240/5180 \\  \\ x=18
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Hi there!

nearest percentage=64%

<em><u>1.Subtract starting value and final value:</u></em>

<em><u /></em>1599-579=1020<em><u /></em>

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<em><u /></em>1020*1599= 0.6378986866791744840525328330206378986<em><u /></em>

<em><u>3.Multiply the term by 100:</u></em>

<em><u /></em>0.6378986866791744840525328330206378986<em><u>·</u></em>100= 63.78986866791744840525328330206378986<em><u /></em>

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Answer:

The slope of the line is 1.

Step-by-step explanation:

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We can use the rate of change formula to find the slope of the points.

  • \displaystyle \frac{\triangle y}{\triangle x}

In mathematics, coordinate pairs are labeled as:

(x_1, y_1) \ \text{and} \ (x_2, y_2)

Therefore, we can relabel our points:

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  • y_1 = -3
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After we do this, we can expand the rate of change formula:

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Now, we can use simple substitution to solve for m, or the slope.

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