Answer:
The given statement is true.
Hope this helps!
Answer:
b is 10 degrees and a is 64 degrees.
Step-by-step explanation:
Properties of a parallelogram needed for this problem: Opposite angles are congruent and adjacent angles are supplementary, meaning they add to 180 degrees.
This means that in the picture, 2a and 12b+8 are equal, while 2a and 5b+2 are supplementary.
From this we can make two equations:
2a=12b+8
and
2a+5b+2=180
If we subtract 5b+2 in the second equation, both equations will equal 2a. I'll explain why that's good. We end up with:
2a=12b+8
and
2a=180-5b-2
Now, we can set the two equations equal to each other because they both equal the same thing. Then simplify.
12b+8=180-5b-2
17b=170
b=10
Knowing b is 10 degrees, we can easily plug that back into one of our original two equations. I'll choose 2a=12b+8.
2a=12(10)+8
2a=120+8
2a=128
a=64
b is 10 degrees and a is 64 degrees.
Answer:
(5 - 1)^2 + (1 - 1)^2 = 4^2
Step-by-step explanation:
Circle equation: ( x - h )^2 + ( y - k )^2 = r^2
(h,K) is the coordinate of the center.
Center: (1,1)
(x,y) choose a point that could be the radius. (I choose the one on the top left side).
Point: (5,1)
Diameter: 8
Radius: 4
Plug in:
( x - h )^2 + ( y - k )^2 = r^2
(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)
Solve to see if it's true,
(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)
4^2 + 0^2 = 4^2
16 = 16 (This is true, therefore, the equation is correct).
Given:
To prove ∆LMN ≅ ∆PQR by SSS you need _____________ and
_______________ and ______________.
To find:
The missing values.
Solution:
If ∆LMN ≅ ∆PQR by SSS, then all sides of ∆LMN are congruent to corresponding sides of ∆PQR.
Therefore, the missing values are 
.
Answer:
x=29.66hrs
Step-by-step explanation:
Firstly, we can model the equation for the total cost as
Let y be the total cost
Let x be the number of hours
Y=98+24x
Also, given that you have earned $810
We can substitute Y=810 and solve for x
810=98+24x
810-98=24x
712=24x
Dividing both sides by 24
712/24=x
x=29.66hrs
