I do not get question 11 please help me!

Mathematics

1 answer:

Inessa [10]4 years ago

7 0

Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.

The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.

Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.

m<PSR = m<PSQ + m<QSR = 30 + 60 = 90

m<PQS = 120

m<PSR : m<PQS = 90 : 120 = 3 : 4

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Larry rides his bike at a rate of 8.8 inches per second. About how m any miles per hour can Larry ride his bike?

sveta [45]

Larry rides his bike 0.5 miles per hour

Solution:

Given that Larry rides his bike at a rate of 8.8 inches per second

To find: Speed in miles per hour

So we have to convert 8.8 inches per second to miles per hour

Use the conversion factor

$1 \text{ inch } = \frac{1}{63360} \text{ mile }$

$1 \text{ second } = \frac{1}{3600} \text{ hours }$

Convert 8.8 inches per second to miles per hour

$8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times \frac{1}{63360} \times 3600 \times \frac{\text{miles}}{\text{hour}}$

$8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times 0.00001578282 \times 3600 \times \frac{\text{miles}}{\text{hour}}\\\\8.8 \frac{\text{inches}}{\text{second}} = 0.5 \frac{miles}{hour}$