Which equation correctly compares the hundred thousands place and ten thousands place in 444,444? A.
400,000 ÷ 40,000 = 10
B.
400,000 ÷ 4,000 = 100
C.
400 ÷ 40 = 10
D.
40,000 ÷ 400 = 100

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Ответ:

william03300

02.06.2020

Mathematics

The measure of angle R is 20°.

Step-by-step explanation:

Since, We know that,

When two triangles are similar then their corresponding angles are congruent or the measures of corresponding angles are equal,

In triangles MNO and PQR,

Angles M, N and O are corresponding to angles P, Q and R.

Given,

$\triangle MNO\sim \triangle PQR$

$m\angle N=85^{\circ}$

$m\angle P=75^{\circ}$

Also, By the above property,

$m\angle N = m\angle Q$

$\implies m\angle Q = 85^{\circ}$

Now, the sum of all interior angles of a triangle is supplementary,

So, in ΔPQR,

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

$75^{\circ}+ 85^{\circ}+m\angle R= 180^{\circ}$

$160^{\circ}+m\angle R= 180^{\circ}$

$\implies m\angle R=20^{\circ}$

Hence, the measure of angle R is 20°.

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Which equation correctly compares the hundred thousands place and ten thousands place in 444,444? A. 400,000 ÷ 40,000 = 10 B. 400,000 ÷ 4,000 = 100 C. 400 ÷ 40 = 10 D. 40,000 ÷ 400 = 100