Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
A triangles has side lengths of 7, 10 and 11 what is the perimeter of the triangle formed by joining the midpoints of these sides?
A mean is an arithmetic average of a set of observations. The amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.
<h3>What is Mean?</h3>
A mean is an arithmetic average of a set of observations. it is given by the formula,
As it is given that Jack makes $12 on Monday, $14 on Tuesday, $18 on Wednesday, $16 on Thursday, $26 on Friday and $22 on Saturday. And we need to know how much he should earn on Sunday, so the average is $19. Therefore, we can write,
Hence, the amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.
Learn more about Mean:
brainly.com/question/16967035
Answer: Original Price: $5
Step-by-step explanation:
x+0.2x=6
1.2x=6
x=5
Original Price: $5