Answer:
<h2>a = 400/21, b = 580/21</h2>
Step-by-step explanation:
Small triangles are similar. Therefore, the sides are proportional
<em>cross multiply</em>
<em>divide both sides by 21</em>
For b, we can use the Pythagorean theorem:
Answer:
4
Step-by-step explanation:
Using proportions, it is found that:
1. 1.4 groups of 5/7 are in 1.
2. The result of 8 divided by 5/7 is of 11.2.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Applying a rule of three, to find how many groups of 5/7 are in 1, we divide 1 by 5/7, hence:
1/(5/7) = 7/5 = 1.4.
Hence 1.4 groups of 5/7 are in 1.
Following the same pattern, for item 2, we have that:
8/(5/7) = 8 x 7/5 = 56/5 = 11.2.
The result of 8 divided by 5/7 is of 11.2.
More can be learned about proportions at brainly.com/question/24372153
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Using the given information, the value of x is 2
<h3>Calculating the length of the leg of an isosceles triangle</h3>
From the question, we are to determine the value of x
From the given information,
The isosceles triangle ABC has its vertex at B
If the vertex is at B, then we can conclude that
AB = BC (<em>Legs of an isosceles triangle are equal a</em>)
Also, from the given information,
AB = 6×+3
BC = 8x-1
Thus,
6x + 3 = 8x - 1
Collect like terms
3 + 1 = 8x - 6x
4 = 2x
2x = 4
∴ x = 4/2
x = 2
Hence, the value of x is 2
Learn more on Isosceles triangle here: brainly.com/question/18640272
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It depends on what is in the cup
