Since x=x, this is an isosceles right triangle. By the Pythagorean Theorem:
h^2=a^2+b^2 (the hypotenuse squared is equal to the sum of the squared sides)
5^2=x^2+x^2
25=2x^2
2x^2=25
x^2=25/2
x=√(25/2)
x=5/√2 now if we rationalize the denominator...
x=(5√2)/(√2√2)
x=(5√2)/2
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
a) 23 + (-16) + 42 * 5 - (-3)
= 23 - 16 + 210 + 3 = 220
b) -6(12 - 15) + 23
= -6(-3) + 23 = 18 + 23
= 41
c) -50 + (-10) + (5 - 3)4
= -50 - 10 + 2(4) = -50 - 10 + 8
= -52
d) -4.5 (-0.53) + (-1)
= 2.385 - 1
= 1.385
e) 5 - 2 + 8
= 3 + 8
= 11
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
Find out more on equation at: brainly.com/question/2972832
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Answer:
5/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the remaining portions equally among 5 charities.
The portion son gets = 
Charity on the whole gets = 3 portions = 
Each charity gets = 
Thus we find son gets 11500 dollars while each charity gets 6900 dollars.
The difference = 
4600 dollars he got more.
Answer:
Every gallon costs $4.20
Step-by-step explanation:
If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)
