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1 year ago

Which of the following statements is true for ∠a and ∠b in the diagram?

Mathematics

2 answers:

Iteru [2.4K]1 year ago

8 0

Answer:

B because they are the same angle

Dafna1 [17]1 year ago

6 0

Answer:

B. m∠a = m∠b

Step-by-step explanation:

This statement is true due to the Alternate Interior Angle Theorem, which states: If ∠a = x, then ∠b = x, meaning that if a equals a certain angle measure, then the alternate interior angle, or the angle opposite a, must also be the same measure.

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Any help would be great

navik [9.2K]

I believe the perimeter is 45 feet

3 0

2 years ago

Find the missing value (x)

Semenov [28]

Answer:

y=14; x=72

Step-by-step explanation:

y=(21×2)/3; x=(48×21)/14

3 0

1 year ago

Tickets for Adults were $14.50 and tickets for Children were $9.00. We purchased 12 tickets and spent a total of $135.50 to get

mihalych1998 [28]

Answer:

(5 , 7)

Step-by-step explanation:

let a = the number of adult tickets

let c = the number of children tickets

then we have to solve the following system

a + c = 12

14.5a + 9c = 135.5

we proceed by Substitution:

c = 12 - a

14.5a + 9c = 135.5

After some calculations we find

a=5 and c=7

6 0

2 years ago

Read 2 more answers

Please help and please give explanation

Yuki888 [10]

Answer:

cylinder surface area = 201.06in²

surface area of cone = 56.56in.²

Step-by-step explanation:

cylinder surface area formula = 2πrh + 2πr²

refer the pic

cone surface area formula = πr ( r + √h² + r² )

refer the sec pic

surface area of the solid

= ( 201.06 + 56.56 ) in.²

= 257.62in.²

= 258in.²

4 0

1 year ago

A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the

strojnjashka [21]

Answer:

95% of confidence interval for the Population

( 6.1386 , 6.8614)

Step-by-step explanation:

Step( i ):-

Given random sample size 'n' =85

Mean of the sample size x⁻ = 6.5 years

Standard deviation of Population = 1.7 years

Level of significance = 0.95 or 0.05

Step(ii):-

95% of confidence interval for the Population is determined by

$(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })$

$(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })$

( 6.5 - 0.3614 , 6.5 + 0.3614 )

( 6.1386 , 6.8614)

Conclusion:-

95% of confidence interval for the Population

( 6.1386 , 6.8614)

8 0

3 years ago