Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Given:
The graph of a line segment.
The line segment AB translated by the following rule:

To find:
The coordinates of the end points of the line segment A'B'.
Solution:
From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).
We have,

Using this rule, we get


Similarly,


Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).
<em>3,2</em>
Step-by-step explanation:
Reflection across the x-axis:
(x,y) -> (x,-y)
In other words, you want to <u>change the sign of the y</u>.
(3,-2) -> (3,2)
The square root of 80 can be broken up into the square root of 16 x square root of 5. We know that the square root of 16 is 4. So in the form (a sqrt b)
A would be 4 and b would be 5.
Answer: 4 sqrt 5
Answer:
-3
Step-by-step explanation:
First you subtract the first equation from the second one and you get:
3x + 3y = 3
x + y = 1
y = 1 - x
Then you use it on the first equation
888x + 889 (1 - x) = 890
888x + 889 - 889x = 890
-x = 1
x = -1
y = 1 - x
y = 1 - (-1) = 2
Now that you have those two numbers, we have to subtract the value of x from y:
x - y
-1 - 2 = -3
Hope this helps bro