Answer:
B
Step-by-step explanation:
g(4) = 8
f(8) = 3(8)^2 - 3(8) 6 = 174
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
Find the area of all the sides:
10 x 9 = 90
9 x 8 = 72
1/2 x 6 x 8 = 24
1/2 x 6 x 8 = 24
6 x 9 = 54
Add them up:
90 + 72 + 24 + 24 + 54 = 264 square metres
Answer:
about 27.6
Step-by-step explanation:
The sum of interior angles for this rectangle is 1080
119+140+124+6x+132+132+102 = 1080 add like terms
749 + 12x = 1080 subtract 749 from both sides
12x = 331 divide both sides by 12
x = 27.6 approximately
The slope of the red line would be the inverse of the green line. so the red line's slope is 1.
Green line: -1/1
Red line:1/1
