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emmainna [20.7K]
3 years ago
9

What is the solution to this equation? 30.16=17.56+5x

Mathematics
2 answers:
Nataliya [291]3 years ago
6 0
The equation is written below,

   30.16 = 17.56 + 5x

First, subtract 17.56 from both sides of the equation,
  30.16 - 17.56 = 17.56 + 5x - 17.56

This will give us 12.6 = 5x

Then, divide both sides of the equation by 5.
    12.6/5 = 5x/5

Simplifying, 
    2.52 = x

Thus, the value of x is 2.52. 
Rzqust [24]3 years ago
5 0
The answer to this question is to first express the equation of 30.16=17.56+5x, so then 5x= 30.16-17.56=12.6 so then x = 12.6/5=2.52. In other words, by moving the 17.56 to the other side of the equation, the sign is changed to - and this gives a value to equal to the 5x and then just cross divide the 5 into the 12.6 to get the correct answer. 
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Answer:

m\angle B=54^{\circ}

m\angle BAD=36^{\circ}

m\angle CDA=90^{\circ}

BAC=72^{\circ}

Step-by-step explanation:

Given:

\overline{AB}\cong \overline{AC},

\overline{AD} bisects angle BAC

m\angle C=54^{\circ}

Triangle ABC is isosceles triangle, because \overline{AB}\cong \overline{AC}. Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

m\angle C=m\angle B=54^{\circ}

The sum of the measures of all interior angles is 180°, so,

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AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

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