Answer:
See explanation below.
Step-by-step explanation:
Let's say,
x = number of tokens required to play one game of ping pong
y = number of token required play one game of pinball
Using the data given, the system of equations are:
Solving the system of equations using substitution method will give us:
So, one game of ping pong required 1 token, whereas one game of pinball required 4 tokens.
Answer:
Step-by-step explanation: add the equations
2x² = 30
x² = 15
y² = 12 - 15
= -3
x4 -y4 = 15² - (-3)²
= 216
Follow the steps
106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x
then
angle LMF= -9+79
=70
angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)
In conclusion the answer to the problem is:
Angle LMF is equal to 70.
Answer:
No.
Step-by-step explanation:
To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:
Substitute 0 for x and 0 for y:
Multiply:
Subtract:
So, (0,0) is <em>not</em> a solution.
And we're done!
Answer:
28°
Step-by-step explanation:
You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.
