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Brilliant_brown [7]
3 years ago
11

Marcus spent 2 hour reading,1 hour playing Rocket League,and took a 2 hour nap. What percent of the total time did he read?

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer: He read 40% of the total time.

Step-by-step explanation:

As per given,

Total time he spent = 2 +1+2 = 5 hours

Number of hours he spent on reading = 2 hours

The percent of the total time he read = \dfrac{\text{Number of hours read}}{\text{Total time spent}}\times100

=\dfrac{2}{5}\times100\\\\=40\%

i.e. The percent of the total time he read  = 40%

Hence, he read 40% of the total time.

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Suppose that LMN is isosceles with base LN suppose that M
ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

LM=MN                     (Given)

m\angle N=m\angle L=(2x+36)^\circ   (Base angles of an isosceles triangle are equal)

Now,

m\angle L+m\angle M+m\angle N=180^\circ

(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ

(7x+89)^\circ=180^\circ

(7x+89)=180

On further simplification, we get

7x=180-89

7x=91

x=\dfrac{91}{7}

x=13

The value of x is 13. Using this value, we get

m\angle L=(2(13)+36)^\circ

m\angle L=(26+36)^\circ

m\angle L=62^\circ

Similarly,

m\angle M=(3(13)+17)^\circ

m\angle M=(39+17)^\circ

m\angle M=56^\circ

And,

m\angle N=m\angle L

m\angle N=62^\circ

Therefore, the measure of angles are m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ.

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