Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to 
.
In a 45-45-90 triangle, the hypotenuse is equal to 
this means in order to find missing side length a, we have to multiply 
this will give us 4
so the missing side lengths are, and 
The values of x and y are ⇒ x = 4 and y = 9
Step-by-step explanation:
In a parallelogram
1. Each two opposite sides are equal and parallel
2. Each two opposite angles are equal
3. Its two diagonals bisect each other
In parallelogram ABCD
∵ Its diagonal AC and BD intersect each other at point E
∵ AC and DE bisect each other at E
∴ E is the mid-point of AC
∴ AE = EC
∴ E is the mid-point of BD
∴ DE = EB
∵ AE = x + 5
∵ EC = y
∵ AE = EC
∴ x + 5 = y ⇒ (1)
∵ DE = 2x + 3
∵ EB = y + 2
∵ DE = EB
∴ 2x + 3 = y + 2
- Subtract 2 from both sides
∴ 2x + 1 = y ⇒ (2)
Substitute y in equation (2) by equation (1)
∵ 2x + 1 = x + 5
- Subtract x from both sides
∴ x + 1 = 5
- Subtract 1 from both sides
∴ x = 4
Substitute the value of x in equation (1) to find y
∵ x + 5 = y
∵ x = 4
∴ 4 + 5 = y
∴ y = 9
The values of x and y are ⇒ x = 4 and y = 9
Learn more:
You can learn more about parallelograms in brainly.com/question/6779145
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6 1/2 times something equals 30 1/3
divide 30 1/3 by 6 1/2, which equals 182/39
now simplify which equals 4 2/3
so the width is 4 2/3 inches.
Answer:
- 8
Step-by-step explanation:
substitute q = - 14 and r = - 6 into the expression
q - r
= - 14 - (- 6)
= - 14 + 6
= - 8
