The congruence theorem that proves that △LON ≅ △LMN is: A. SSS congruence theorem
<h3>What is the SSS Congruence Theorem?</h3>
According to the SSS congruence theorem, if all three corresponding sides of two triangles are congruent, then both triangles are congruent.
In the image given, we have:
- ON ≅ MN
- LO ≅ LM
- LN ≅ LN (reflexive property)
This means all three corresponding sides are congruent, therefore, the congruence theorem that proves both triangles are congruent is:
A. SSS.
Learn more about the SSS congruence theorem on:
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To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:
"d" represents the distance and coordinates are expressed as follows: (x, y)
Let's go to the calculations.
The answer is 12,6 u.c.
5(3x-7)=20
15x-35=20
15x= 55
x= 55/15
x= 11/3
Plug this x value in.
6(11/3)-8
66/3 -8
22-8
14
Final answer: 14
Answer:
Step-by-step explanation:
translated 8 units to the right and 2 units up then flipped
Start by distributing the 4:
12-8x=15
Add 8x to both sides of the equation and subtract 15 from both sides:
8x=-3
divide both sides by 8 to get the value of x:
x=-3/8
