Answer:
- If two angles are congruent, then they are right angles.
- It is true
Step-by-step explanation:
The given statement is;
If two angles are right angles, then it is said that they are congruent.
Now, from converse, inverse and contrapositive statements, we can say that if the conditional statement is given as "if x, then y", it means that the converse statement will be written as;
"If y, then x".
We just switched the hypothesis with the conclusion.
Therefore, the converse of the statement given in the question is:
If two angles are congruent, then it means they are right angles.
The original statement and the converse statement are equivalent, therefore the converse is true.
<u>Answer:
</u>
Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.
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Solution:
</u>
From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.
The given can be represented using the diagram given below:
where,
“a” indicates the distance between the house and the pond
“b” indicates the distance between the house and the farm
“c” indicates the distance between the farm and the pond.
For a right angled triangle, by Pythagoras theorem,
![\bold{c^{2} = a^{2} + b^{2}}](https://tex.z-dn.net/?f=%5Cbold%7Bc%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%7D)
![c^{2} = 120^{2} + 80^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20120%5E%7B2%7D%20%2B%2080%5E%7B2%7D)
![c^{2} = 14400 + 6400](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%2014400%20%2B%206400)
= 20800
Taking square root on both sides, we get
![c = \sqrt{20800}](https://tex.z-dn.net/?f=c%20%3D%20%5Csqrt%7B20800%7D)
= 144.22 m
Hence the distance between the pond and farm is 144.22 m
Answer:
Should be the third one
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72 |•-•|
Answer:
-2x^2+12x
Step-by-step explanation:
To solve this, we should make an equation. The equation has to be in terms of L, which is Leon since Kim has $17 more than him.
The equation:
(L+17) + L = 111
The parenthesis represent how much Kim has. We can take the parenthesis out to actually solve the equation.
L + 17 + L = 111
Let's add like terms, which is L.
2L + 17 = 111
Subtract 17 on both sides.
2L= 94
Divide.
L= 47
We know Leon has 47, now we have to solve Kim by just adding 17 since she has 17 more than Leon.
47+17= 64
So Kim has 64. Let's check by adding and making sure their two values are equal up to 111.
64+47=111
Leon has $47 and Kim has $64.