7 (10pts) In △ABC, m∠B = 90°, m∠C = 15°, M ∈ BC . If m∠BAM = 60°, AM = 10 in. Find: AB and MC. B (5pts) Find MC. MC = in. SAVE ANSWER Need help with formatting? Next

MC is 10 in.

Step-by-step explanation:

The given parameters for the triangle ΔABC are;

m∠B = 90°

m∠C = 15°

M ∈ BC

m∠BAM = 60°

AM = 10 in.

From the given information, ΔABC is drawn using Microsoft Visio, from which we have ΔACM

m∠CAM = 75° - 60° = 15° (By angle addition postulate)

m∠CAM = 15° = m∠C, therefore, ΔACM is an isosceles triangle with base angles, m∠CAM and m∠C each equal to 15°

AM = 10 in. = MC, by definition of isosceles triangle

∴ MC = 10 in.

555.99.

step-by-step explanation:

hope this

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have