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3 years ago

Find the values of the pronumerals in this diagram. Write down the reason in each case.

Mathematics

1 answer:

timofeeve [1]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

You might be interested in

Look at the following numbers:

jok3333 [9.3K]

Answer:

The correct answer is: -7, 7

Step-by-step explanation:

Given numbers are:

-7, 0, 7, 14

We have to check all pairs of numbers with respect to sum to check that which pair of numbers sums up to zero. So first of all, we will take -7 and will find its sum with other numbers.

So,

$-7+0 = -7\\-7+7=0\\-7+14 = 7$

We can see that the sum of -7 and 7 is zero.

Hence,

The correct answer is: -7, 7

8 0

3 years ago

Read 2 more answers

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0

3 years ago

5×(-2w-4) what's the answer.

maria [59]

Answer:

-10w -20

Step-by-step explanation:

5(-2w-4)

Distribute the 5

5*-2w -5*4

-10w -20

7 0

3 years ago

Read 2 more answers

One of the Same side angles of two parallel lines is 60° greater than the other. Find the two angles.

BARSIC [14]

Answer:

60,120

Step-by-step explanation:

We know that angles on the same side of the transversal always add up to 180 ( are supplementary)

Hence, taking one of the angles as x we get,

x+(60+x)=180

2x+60=180

2x=120

x=60

Hence, one angle is 60 degrees while the other 120 degrees

4 0

3 years ago

6.1/5(12b+5) for b = 5/6

Temka [501]

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= <u><em>18.3</em></u>

Hope this helps

plz mark as brainliest!!!!!!!

Stay safe!!

7 0

3 years ago