The missing justification in Julia's angle proof is; Corresponding Angles Theorem
<h3>What is the angle theorem used?</h3>
We know that m∠AGE ≅ m∠HGB because they have congruent angles and are vertical angles.
Similarly, m∠HGB ≅ m∠CHE are alternate interior angles because two congruent angles on the inner side of the parallel lines are formed by a transversal.
In the diagram, m∠AGE ≅ m∠CHE would have to be corresponding Angles Theorem because parallel lines cut by a transversal would create congruent corresponding angles. That means a pair of angles on the same side of one of two lines that is cut by a transversal and on the same side of the transversal.
Read more about Angle theorem at; brainly.com/question/24839702
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Answer:
20%
Step-by-step explanation:
Well, it's actually relatively simple.
The first thing to do would be to write this in a fraction form. You payed 72,000 out of 360,000.
72,000/360,000.
now you take that fraction, and convert it's to its decimal form which will give you a 0.2.
0.2 in decimal form is converted to 20.0% (when you convert a decimal to a fraction, you multiply by 100, or move the decimal two places to the right).
Another way to do this is simplifying the fraction.
take 72,000/360,000 and find what X is when
72,000/360,000 = x/100
you will find that 72,000/360,000 Is equal to 20/100. since percents are calculated as out of a hundred. your answer would still come out as 20%
The temperature rose 22 degrees
Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
