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OleMash [197]
3 years ago
8

An error is made in solving the equation below. what is the correct solution to the equation?

Mathematics
1 answer:
Mrac [35]3 years ago
7 0
Solve for x:
5 (x - 5) = 15
Divide both sides of 5 (x - 5) = 15 by 5:
(5 (x - 5))/5 = 15/5
5/5 = 1:
x - 5 = 15/5
The gcd of 15 and 5 is 5, so 15/5 = (5×3)/(5×1) = 5/5×3 = 3:
x - 5 = 3
Add 5 to both sides:
x + (5 - 5) = 5 + 3
5 - 5 = 0:
x = 3 + 5
3 + 5 = 8:
Answer:  x = 8

<span>5(x – 5 + 5) = 15 + 5  Step is wrong</span>
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If y is the circumcenter is angle STU find each measure
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Answer:

Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

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⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

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In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

⇒ YX^2=196-169=27 ⇒ YW=\sqrt27units

Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





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