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
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* 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.
Hi there!
Since we know that the pancake mix has 5% of the daily allowance, which is 300 mg, we can just multiply 300 mg with 5 percent to get our answer.
First, let's divide 5% by 100% to know what we are going to multiply 300 mg with.
5% / 100% = 0.05
Let's multiply 300 mg with 0.05
0.05 * 300 = 15 mg
Thus, a 1/2 cup of pancake mix has 15 mg of cholesterol.
Have an awesome day! :)
Answer:
Step-by-step explanation:
let x be part at 8%, y be part at 10% and z be part at 15%
(1) x+y+z=6300
the amount of money invested at 15% was $100 more than the amounts invested at 8% and 10% combined. so
(2) z=x+y+100
The total annual income from these investments was $766. so
0.08x+0.1y+0.15z=766 or
(3) 8x+10y+15z=76600
substitute (2) into (1)
x+y+x+y+100=6300
(4) 2x+2y=6200
substitute (2) inot (3)
8x+10y+15(x+y+100)=76600
(5) 23x+25y=75100
solving (4) n (5)
x=1200
y=1900
z=1200+1900+100=3200
