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:
y = 8
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a Cartesian Plane
- Coordinates
- Functions
Step-by-step explanation:
What the question is asking is for the y-value when the x-value is equal. According to the graph, when x = 6, y = 8. Therefore, y = 8.
Answer:
not sure about 1
for number 2 it is 5 over 4 . for y, 5 10 15 20 is a multiple of 5 so the change is 5. for x, 4 8 12 16 is a multiple of 4 so the change is 4.
Answer:
-1/2
Step-by-step explanation:
First you use to the formula m=y2-y1/x2-x1 and then you get -5/10 or -1/2. (m= slope)
Answer:
y = 5x -15
Step-by-step explanation:
slope/y-int from = y =mx+b
slope = y2-y1/x2-x2
slope = 0--15 / 3-0
slope = 15 / 3
slope = 5
y-int = -15
y = 5x-15
