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lesya692 [45]
3 years ago
11

The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b

is WXYZ a rectangle?
b =
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = \frac{10}{12}(245b - 365) and \frac{2}{3}(3b+6)

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, \frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)

245b - 365 = \frac{12}{10}\times \frac{2}{3}(3b+6)

245b - 365 = \frac{4}{5}(3b+6)

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = \frac{1849}{1213}

b = 1.52

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Answer:

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Step-by-step explanation:

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Solution:

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2 years ago
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kirill [66]

Answer:

1/3

Step-by-step explanation:

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There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2

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8 0
2 years ago
Whats equivalent to 4/16
Rashid [163]
1/4, 0.25, and 25%.

Hope this answer helps! feel free to ask any additional questions :)
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3 years ago
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vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

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Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

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