Step-by-step explanation:
In the following triangle, a= ? , b= 2cm.
m<B= 105° , m<C = 15° ,m< A =?
Now, we know that sum of the interior angles of the triangle = 180°
m<B+m<C +m< A =180°
105°+15°+m< A=180°
m< A= 180- 120° = 60°
Your teacher ask you to find a recipe that includes two ingredients with a ratio of 1/2 cup 1/8 cup
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The ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1
<h3>Ratio of the areas of similar figures </h3>From the question, we are to determine the ratio of the area of the<u> first figure</u> to the area of the <u>second figure</u>
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The two figures are similar
From one of the theorems for similar polygons, we have that
If the scale factor of the sides of <u>two similar polygons</u> is m/n then the ratio of the areas is (m/n)²
Let the base length of the first figure be ,m = 14 mm
and the base length of the second figure be, n = 7 mm
∴ The ratio of their areas will be
= 4:1
Hence, the ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1
Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446