Answer:
7.3
Step-by-step explanation:
The two triangles are similar, meaning that they have the same angles but the triangles are in different sizes. To solve this, use proportions:
Cross multiply:
Answer:
88
Step-by-step explanation:
The number of times Lila can expect the spinner to land on green is the number of times she rolls times the probability of obtaining green.
so,
1/4 x 350 = 88 (approximately)
Hope this helps
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.
Answer:
D
Step-by-step explanation:
The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).
<2 + 40 + 40 = 180 Combine the left
<2 + 80 = 180 Subtract 80 from both sides
<2 = 180 - 80
<2 = 100 degrees.
That's not the answer. We have to solve for x
<2 = x + 106
100 = x + 106 Subtract 106 from both sides
100 - 106 = x
x = - 6
Answer: Lee would make $25 on commission.
Step-by-step explanation: I found this by multiplying 500 by .05 or 5%. Lastly you can check this by taking 25 times 20, because 5% x 20 = 100%, so if 25 was really equal to 5% then it would equal the whole, or 500.
Hope this helps.
