All categories

3 years ago

Given the lines a and b are parallel and that m<8=180, find

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

D) 72°

Step-by-step explanation:

Sum of angles 7 and 8 is 180° as they are supplementary

Angles 7 and 3 are corresponding angles and they measure same as per property of corresponding angles, therefore:

m∠3 = m∠7
m∠7 = 180° - m∠8 = 180° - 108° = 72°
So m∠3 = 72°

Option D is correct

You might be interested in

Slader records show that the average life expectancy of a pair of shoes is 2.2 years with astandard deviation of 1.7 years. A ma

Oksanka [162]

Answer:

For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.

Step-by-step explanation:

Given:

Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)

Let's find the Z score.

Z = $\frac{x - mean}{S.D}$

Now plug in the given values in the above formula, we get

Z = $\frac{1 - 2.2}{1.7} = -0.71$

Now we have to use the z-score table.

The z-score for 0.71 is 0.2611

Since it z is negative, so we subtract 0.2611 from 0.5000

0.5000 - 0.2611 = 0.2389

Percentage = 0.2389 × 100 = 23.89%

To find replaces for 1000 pairs, we need to multiply 23.89% by 1000

= $\frac{23.89}{100} .1000 = 238.9$

= 239

The cannot be in decimal, when we round off to the nearest whole, we get

239

3 0

3 years ago

Twenty to one meaning time

Nadya [2.5K]

Answer: 20 minutes until 1 o'clock so it would be 12:40

Step-by-step explanation:

3 0

2 years ago

ILL GIVE BRAINLIEST! FIND THE MEASURE OF B AND SHOW YOUR WORK. If you dont show the equation you used to get your answer then i

lutik1710 [3]

Answer:

23 and 131

Step-by-step explanation:

For the first one. Since a whole entire angle thingie is 360, subtract 243 and 94 from 360. Answer is 23 :)

For the second one. This is a supplementary angle. 180- 49 is 131. Your done!

7 0

2 years ago

It's a question from real and complex numbers which I can't solve. so someone PLZ HeLp

Semmy [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , $(a^m)^{n}$ = $a^{mn}$

Simplifying the product of the first 2 terms

$\frac{a^{p^2+pq} }{a^{pq+q^2} }$ × $\frac{a^{q^2+qr} }{a^{qr+r^2} }$

= $a^{p^2-q^2}$ × $a^{q^2-r^2}$

= $a^{p^2-r^2}$

Simplifying the third term

5( $(a^p+r)^{p-r}$

= 5 $a^{(p+r)(p-r)}$ = 5 $a^{(p^2-r^2)}$

Performing the division, that is

$\frac{a^{(p^2-r^2)} }{5a^{(p^2-r^2)} }$ ← cancel $a^{(p^2-r^2)}$ on numerator/ denominator leaves

= $\frac{1}{5}$

4 0

3 years ago

Add the product of 5 and 6 with the product of 3 and 7

xz_007 [3.2K]

It is 51.

5x6=30

3x7=21

30+21=51

Hope that I was of help.

5 0

3 years ago

Read 2 more answers