Answer:
A, C, D
Step-by-step explanation:
Consider triangles NKL and NML. These triangles are right triangles, because
In these right triangles:
- reflexive property;
- given
Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so
![\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]](https://tex.z-dn.net/?f=%5Coverline%7BKN%7D%5Ccong%20%5Coverline%7BNM%7D%5C%5C%20%5C%5C%5Coverline%7BKL%7D%5Ccong%20%5Coverline%7BLM%7D%5C%20%5B%5Ctext%7Boption%20D%20is%20true%7D%5D)
Since
then
![7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]](https://tex.z-dn.net/?f=7x-4%3D5x%2B12%5C%5C%20%5C%5C7x-5x%3D12%2B4%5C%5C%20%5C%5C2x%3D16%5C%5C%20%5C%5Cx%3D8%5C%20%5B%5Ctext%7Boption%20A%20is%20true%7D%5D%5C%5C%20%5C%5CMN%3DKN%3D7%5Ccdot%208-4%3D56-4%3D52%5C%20%5B%5Ctext%7Boption%20C%20is%20true%7D%5D)
Option B is false, because KN=52 units.
Option E is false, because LN is congruent KN, not LM
Answer:
1 1/3
Step-by-step explanation:
Solve. Change the division sign into a multiplication, and flip the second fraction:
(8/15)/(2/5) = (8/15) x (5/2)
Multiply across:
(8 x 5)/(15 x 2) = (40)/(30)
Simplify. Divide common factors:
(40/30)/(10/10) = 4/3
4/3 or 1 1/3 is your answer.
~
Answer:
3
Step-by-step explanation:
j(2) means that x equals 2...
the first inequality in the function says that x is greater than or equal to 2
the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5
the third one states that x is greater than 5
x applies to the first inequality since we know that x can be equal to 2
Now, to the number before the if
there is a 3 before the if in the first inequality
This means that if x is greater than or equal to 2 the y or the function would equal 3
therefore, j(2) would equal 3
I hope this helps!!!
Your answer would be x-4=17.
4 less than (#) is 17.
That number would be 21.
21-4=17
Hope that helps
