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Elena-2011 [213]
3 years ago
9

The question is in the picture please help

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

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.

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Steve opens a bank account with a simple annual interest rate of 5%. After four years, how much interest will Steve earn on an i
Marysya12 [62]

Steve will earn $160 interest after four years ⇒ 1st answer

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

  • P is the initial deposit
  • r is the annual rate in decimal
  • t is the time of investment

∵ Steve opens a bank account with a simple annual interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ His initial deposit is $800

∵ He will put the money for four years

∴ t = 4

- Substitute all these values in the formula above

∵ I = 800(0.05)(4)

∴ I = 160

Steve will earn $160 interest after four years

Learn more:

You can learn more about the interest in brainly.com/question/13018049

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
What is d if <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3d-2%7D%7B8%7D%20%3D%20-d%2B16%5Cfrac%7B1%7D%7B4%7D" id="TexFormula1" t
Harlamova29_29 [7]

Answer: d=12

Step-by-step explanation:

\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}

Multiply both parts of the equation by 8:

\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\

Divide both parts of the equation by 11:

d=12

8 0
1 year ago
HI PLS HURRY !!
VARVARA [1.3K]

Step-by-step explanation:

234751

100% sure

Goood luck.

5 0
2 years ago
4 = 32x
inn [45]

Answer:

x=0.125

Step-by-step explanation:

4/32=0.125

4 0
3 years ago
A bag of candy has a mass of 80 g. A chocolate bar has a mass of 110 g. What is the total mass of the bag of candy and the choco
atroni [7]

total mass = mass of a bag of candy + mass of a chocolate bar

total mass = 80g +110g = 190g

3 0
2 years ago
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