<h2>
Answer:</h2>
∠LMN is a right angle
<h2>
Step-by-step explanation:</h2>
If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:
- Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.
- By definition LN ≅ NK
- If ∠LMN is a right angle, then MN is the altitude of triangle ΔLKN
- Also MN is the bisector of LK, so KM ≅ ML
- So we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides
- In conclusion, ΔLMN ≅ ΔKMN
Answer: What graph?
Step-by-step explanation:
If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are
![\dbinom52=\dfrac{5!}{2!(5-2)!}=10](https://tex.z-dn.net/?f=%5Cdbinom52%3D%5Cdfrac%7B5%21%7D%7B2%21%285-2%29%21%7D%3D10)
ways of picking the vowels, and
![\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190](https://tex.z-dn.net/?f=%5Cdbinom%7B20%7D2%3D%5Cdfrac%7B20%21%7D%7B2%21%2820-2%29%21%7D%3D190)
ways of picking the consonants.
We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is
![4!\dbinom52\dbinom{20}2=\boxed{45,600}](https://tex.z-dn.net/?f=4%21%5Cdbinom52%5Cdbinom%7B20%7D2%3D%5Cboxed%7B45%2C600%7D)
Keep in mind that this means words like TRIES and TIRES are treated as different.
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable
Exact Form:
x = - 25/8 ![\frac{x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D)
Decimal Form:
x = -3.125
Mixed Number Form:
x = - 3/1/8 ![\frac{x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D)
Step-by-step explanation: