Answer:
m∠1 = 50°
m∠2 = 88°
Step-by-step explanation:
Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.
From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.
<h3>What is a ratio?</h3>
A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.
<h3>What is the explanation for the solution above?</h3>
<h3>Step 1 - Indicate your assumptions</h3>
Let X be the width of one of the rectangles and let its height be Y.
It is clear from the image that:
4X = 3Y
Hence
(4/3)X = Y
Therefore,
Lenght (L) = 3Y
= 3 (4/3)X
= 4X
Width (W) = Y + 2X
= (4/3)X + 2X
= (10/3)X
Therefore,
L : W = 4X: 10/3X
= 4:10/3
To remove the fraction, multiply both sides of the ratio by 3
= 12 : 10, furhter simplify by halving each value, and we have
= 6:5
Hence, the ratio L: W in simplified form is 6 : 5.
Learn more about ratios at:
brainly.com/question/2328454
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Answer:
Step-by-step explanation:
We are given that:
First, we can distribute the right-hand side:
Distribute:
Rewrite:
Since it is equivalent to the above expression, the coefficients of the variables must match. This means that:
Solving for a in the second equation gives:
Therefore:
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Step-by-step explanation:
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