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Grace [21]
3 years ago
8

Find the angle measures. Justify your responses. Given: a||b, m∠3=63 Find: m∠6,m∠7

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Answer:

m∠6 = 117°

m∠7 = 63°

Step-by-step explanation:

It's given that a║b and m∠3 = 63°

Since, ∠3 and ∠6 are the consecutive interior angles,

m∠3 + m∠6 = 180°

63° + m∠6 = 180°

m∠6 = 180° - 63°

        = 117°

Since, ∠3 and ∠7 are the corresponding angles,

Therefore, ∠3 ≅ ∠7

m∠7 = m∠3 = 63°

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Given the data: 0.90 1.42 1.30 1.55 1.63 1.32 1.35 1.47 1.95 1.66 1.96 1.47 1.92 1.35 1.05 1.85 1.74 1.65 1.78 1.71 2.29 1.82 2.
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Answer:

Step-by-step explanation:

a) Mean means the average we add all the values in data and divide it by the total number

Mean= 0.9+1.42+1.3+1.55+1.63+1.32+1.35+1.47+1.95+1.66+1.96+1.47+1.92+1.35+1.05+1.8<u>5+1.74+1.65+1.78+1.71+2.29+1.82+2.06+2.14+1.27                                                   </u>

                                                              25

Mean= <u>40.61</u>

             25

Mean= 1.624

Place the values in correct order starting from least

0.9,1.05,1.27,1.30,1.32,1.35,1.35,1.42,1.47,1.47,1.55,1.63,1.65,1.66,1.71,1.74,1.78,1.82,1.85,1.92,1.95,1.96,2.06,2.14,2.29

Median = 1.65 ( this is the middle value odf the data given)

Mode = 1.35 and 1.47

Variance =

in order to find the variance we subtract each data value with mean and square it and then divide all with the total sample size

σ2 = (0.9-1.624)²+ (1.42-1.624)²+(1.3-1.624)²+(1.55-1.624)²+(1.63-1.624)²+(1.32-1.624)²+(1.35-1.624)²+(1.47-1.624)²+(1.95-1.624)²+(1.66-1.624)²+(1.96-1.624)²+(1.47-1.624)²+(1.92-1.624)²+(1.35-1.624)²+(1.05-1.624)²+(1.85-1.624)²+(1.74-1.624)²+(1.65-1.624)²+(1.78-1.624)²+(1.71-1.624)²+(2.29-1.624)²+(1.82-<u>1.624)²+(2.06-1.624)²+(2.14-1.624)²+(1.27-1.624)²                                             </u>

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         25

σ2 = 0.1105

Standard Deviation = √σ2

σ -= √0.1105

σ = 0.332

Coefficient of variance = Here we divide standard deviation by mean and multiply by 100

Coefficient of Variance = (0.332÷ 1.624) × 100

Coefficient of Variance = 20.47

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