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3 years ago

If PQ bisects Angle RPS and measure of angle RPS = 120°, find p and measure of angle RPQ.

Mathematics

2 answers:

Ghella [55]3 years ago

8 0

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!

VashaNatasha [74]3 years ago

5 0

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

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Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples

zheka24 [161]

Answer: a. 0.40 b. 0.23 c . 0.435 d . 0.25

Step-by-step explanation:

melanin content Total

high low

moisture high 13 10 23

content low 47 30 77

Total 60 40 100

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)= $\dfrac{40}{100}=0.40$

b) Total skin samples has high moisture content = 13+10=23

P(B) = $\dfrac{23}{100}=0.23$

c) A ∩ B = Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) = $\dfrac{10}{100}=0.10$

Using conditional probability formula , $P (A|B)=\dfrac{P(A\cap B)}{P(B)}$

$P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435$

d) $P (B|A)=\dfrac{P(A\cap B)}{P(A)}$

$P (B|A)=\dfrac{0.10}{0.40}=0.25$

8 0

4 years ago

HELP PLS 30) PTS

Verdich [7]

Answer:

32 ; 20

Step-by-step explanation:

Middle section: 26

Sum of parallel lengths: 2 × 26 = 52

Ratio of the sides:

100% : 62.5%

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5/(8+5) × 52

8/(8+5) × 52

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4 years ago

If u=6 feet, v=7 feet, w=4 feet, x=6 feet, y=12, and z=3 feet, what is the area of this object?

eimsori [14]

Answer:

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Step-by-step explanation:

uz + wx + (v+z)(y-u-w)

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3 years ago

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lord [1]

Answer:

Step-by-step explanation:

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3 years ago

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Find the volume of a sphere whose surface area is 1256 sq.cm (Take π = 3.14)

Alekssandra [29.7K]

Curved surface area of a sphere =1256 cm

We know that, Curved surface area of a spehre =4πr

⟹1256=4×3.14×r

⟹r

4×3.14

1256

⟹r

=100

∴r=10 cm

Hence, the answer is 10 cm.

4186.66666666 volume of sphere

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3 years ago

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