3 years ago

Please help!!!!!!!!!!!

Mathematics

1 answer:

IRISSAK [1]3 years ago

4 0

Answer:

Step-by-step explanation:

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Given the conversion factor 12 in/ 1 ft, which has the larger volume?

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Answer:

A. Cube A

Given:

Cube A volume = 5832 in³

For Cube B dimension in inches:

1.2 feet = 14.4 in

1 feet = 12 in

1 feet = 12 in

So Volume of Cube B:

L × B × H = 14.4 × 12 × 12 = 2073.6 in³

Cube A has a larger volume that Cube B.

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The length of a rectangle is 9 centimeters less than its width. What are the dimensions of the rectangle if its area is 112 squa

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In the diagram below, we have ST parallel to QR. angle P= 40 degrees, and angle Q= 35 degrees. Find the measure of angles STR in

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Answer:

$m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ$

Step-by-step explanation:

<u>Similar Triangles</u>

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

$m\angle P + m\angle Q + m\angle R = 180^\circ$

Substituting the known values:

$40^\circ + 35^\circ + m\angle R = 180^\circ$

Solving for R:

$m\angle R = 180^\circ - 40^\circ - 35^\circ$

$m\angle R = 105^\circ$

Angles S and Q are congruent, thus

$m\angle S = 35^\circ$

Angles T and R are congruent, thus

$m\angle T = 105^\circ$

Summarizing:

$\mathbf{m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ}$

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