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Anastasy [175]
3 years ago
9

In each figure below find m ∠1 and m∠2, if a||b. Justify with reasons your solution.

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

m<1 = 130°

m<2 = 50°

Step-by-step explanation:

Since given that line a is parallel to line b, and <1 and 130° are interior angles that alternate each other, therefore:

m<1 = 130° (alternate interior angle theorem)

Also,

130° and <2 lie on same side inside the parallel lines cut across by the transversal, therefore,

m<2 + 130° = 180° (same side interior angles theorem)

m<2 = 180° - 130°

m<2 = 50°

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Hurry: Only 5 mins to answer! When Prachisha checked out they charged her sales tax of 7.25%. How much did she pay for the items
ella [17]
101.15

Explanation:

140 x 7.25% = 10.15

140 x 35% = 49

Then we add the tax and subtract the sale :

140 + 10.15 - 49 = 101.15$

Hope it’s right
Best luck with your studying
6 0
3 years ago
Find the exact circumference of a circle with an area equal to 36 sq. in.
DochEvi [55]
The area of the circle is determined through the equation,
                                     A = πr²
Plug in the value of area
                                    36 in² = πr²       ;  r = 3.385 in
The formula for the circumference of the circle is,
                                    C = 2πr
Substitute the value of radius,
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8 0
4 years ago
Read 2 more answers
About 5% of hourly paid workers in a regioner the prevailing minimum wage or less A grocery chain offers discount rates to compa
Fed [463]

Answer:

0

Step-by-step explanation:

Let X  to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less

The sample size n = 281

The population parameter p = 5% = 0.05

Using normal approximation for the mean.

\mu = np

\mu = 281\times 0.05

\mu = 14.05

The standard deviation is:

\sigma = \sqrt{np(1-p)}

\sigma = \sqrt{281 \times 0.05(1-0.05)}

\sigma = \sqrt{281 \times 0.05(0.95)}

\sigma = \sqrt{13.3475}

\sigma =3.6534

By using continuity correction; the sample mean x is:

x = 30 - 0.5

x = 29.5

The z statistic test can now be as follows:

Z = \dfrac{x-\mu}{\sigma}

Z = \dfrac{29.5-14.05}{3.6534}

Z = \dfrac{15.45}{3.6534}

Z = 4.23

Thus, the probability that company A will get a discount is

P(X ≥ 30) = P(Z >4.23)

= 1 - P(Z < 4.23)

By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;

= 0.0000

7 0
3 years ago
What is f(x) + f(x) + f(x)?
Masteriza [31]

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

3 0
3 years ago
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
Rzqust [24]

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 - 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

6 0
3 years ago
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