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lyudmila [28]
3 years ago
11

Marcus has 2 3/5 gallon of blue paint.He will use 7/10 of the paint for his room.how much blue paint will Marcus use for his roo

m?Write and solve an equation to find the answer .
Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

1.82 gallon or 6.9 litres

Step-by-step explanation:

Given

Gallon of blue paint= 2   3/5  =  (5*2+3)/5 = 13/5 gallon

Fraction of paint used in painting the room = 7/10 of paint available

                                                                     = 7/10 * 13/5 =91/50 gallon

                                                                        = 1 41/50 gallon = 1.82 gallon

**converting gallon into litres

one gallon is equal to 3.79 litres

hence 91/50 gallon = 91/50*3.79 litres = 6.9 litres

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Answer:

Angle CAD is 44 degrees

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Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

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Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

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Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

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