The congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.
<h3>What is
congruence theorems?</h3>
Congruence theorems is one that explain that in a case whereby three sides of two triangles are equal to another, we can say they are congruent to each other.
From the given figure, there are two angles as well as one non-included side which is seen to be a congruent.
According to LA theorem , a triangle is congruent in a case whereby, leg as well as an acute angle of one right triangle of two right triangles are congruent to each other.
AAS theorem also explains that incase two angles and any of the side of a triangle are congruent to each other , the triangles are congruent.
Therefore, with these theorem, congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.
CHECK THE FIQURE FOR THE COMNPLETE QUESTION
Learn more about congruence theorems from
brainly.com/question/17239468
#SPJ1
Answer:
5. x = 5, y = 3
6. x = 0, y = 4
7. x = -1, y = 1
Step-by-step explanation:
5. substitute 3(value of y) into the equation y = x - 2:
=> 3 = x - 2
=> x = 5
6. substitute 0(value of x) into the equation y = x + 4:
=> y = 0 + 4
=> y = 4
7. substitute 1(value of y) into the equation y = 2x + 3:
=> 1 = 2x + 3
=> 2x = -2
=> x = -1
Y = 3/4x - 5/2....subtract 3/4x from both sides
-3/4x + y = -5/2 ....multiply everything by common denominator of 4
-3x + 4y = -10
Answer:
Step-by-step explanation:
You use the triangle inequality theorem for this. That theorem states that if the sides are lengths a, b, and c, then
a + b > c,
b + c > a, and
a + c > b.
Let a = 5.5, b = 3.2, and c = x.
5.5 + 3.2 > x, so 8.7 > x (aka x < 8.7)
3.2 + x > 5.5, so x > 2.3 and
5.5 + x > 3.2, so x > -2.3
Since measurements of length and distance will never be negative, our range of values for x is
2.3 < x < 8.7
If x were to be shorter than 2.3, the triangle wouldn't "close" up; likewise if one side were to be longer than 8.7...another side wouldn't "close".
Answer:
ABC is not a right triangle
Step-by-step explanation:
The computation is shown below:
AC is
= Perimeter - (AB + BC)
= 22 - (8+5)
= 22 - 13
= 9
Now
= 9^2 + 13^2
= 81 +169
= 250
And, the perimeter is
= 22^2
= 484
Since the amount are not equivalent therefore ABC is not a right triangle