It’s a 90 degree clockwise rotation as coordinates become (y,-x).
Answer:
∠P = 39º
∠Q=120º
∠R = 21º
Step-by-step explanation:
m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)
2x-3+6x-6+x=180º (substitution)
9x-9=180º (algebra)
9x=189º (algebra)
x=21º (algebra) (this is ∠R)
(2x-3)=39º (algebra) (this is ∠P)
6x-6=120º (algebra) (this is ∠Q)
Answer:
x = 8
Step-by-step explanation:
3(x-5)+6x = 3x-15+7x
3x-15+7x = 65
10x = 80
x = 8
First, you need to change it from standard form to slope-intercept form. To do this, you have to add 3x to both sides. Now that y is by itself, divide by 5 on both sides. Your equation should now be y=3x+3. Then, graph the points. Your x-intercept should be at (-5,0) and your y- intercept should be at (0,3).
Answer:D
Step-by-step explanation:
This is combination.
If 4 books selected out of eight book in the shelf:
(4 combination 8)= 70
For hardback selection:
Then selection of 4 books out of the hardback, it means there is no paperbach will be:
(4 combination 6)= 15
So , if at least one paperback selected will be : 70-15
That is 55
