This is saying that ABC is conguent with LMN meaning all the sides are the same, making it safe to assume that AB is equal to LM. This also means that the equations for both are equal to each other
-3y + 10 = 2y + 15
-5y = 5
y = -1
Then to find AB you plug the -1 in for the y value
-3(-1) + 10 = 13
Knowing these 2 parts, the answer is A
Answer: The perimeter of a two-dimensional shape is the distance around the shape. It is found by adding up all the sides (as long as they are all the same unit). The area of a two-dimensional shape is found by counting the number of squares that cover the shape.
Step-by-step explanation:
Answer:
0.9544
Step-by-step explanation:
P(-2 < Z < 2) means that Z has mean 0 and standard deviation 2.
P(−2 < Z < 2) = F(2) - F(-2)
Using the Z - table,
F(2) = 0.9772
and F(-2) = 0.0228
Thus,
P(−2 < Z < 2) = 0.9772 - 0.0228 = 0.9544
This means that data within two standard deviation is 95%.
Answer:
10 green
Step-by-step explanation:
24 total balls. 17 Not red, so 24-17=7. 7 Red balls. That leaves 17 balls. 10 of them are neither yellow nor blue, and since the amount of red balls has been figured out, we do not need to account for them. 17 balls - 10 not yellow or blue equals 7 balls that can be yellow or blue. 17 balls left, minus the 7 yellow or blue balls equals 10.
Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1
