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3 years ago

Help with this question please!

Mathematics

1 answer:

Anton [14]3 years ago

5 0

∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.

... ∠1 = ∠2

... 3x -5 = 2x +15 . . . . substitute the given values

... x = 20 . . . . . . . . . . . add 5-2x

The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.

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5/7 times what equals 3 answer

stellarik [79]

.23 (three repeating)

tell me if its wrong

4 0

2 years ago

Read 2 more answers

****PLEASE HELP**** Meghan spends 25% more each year for auto insurance than Scott, and together they spend $1237.50 per year. H

s344n2d4d5 [400]

Answer: Meghan spent $687.5 per year.

Step-by-step explanation:

Let x represent the amount of money that Scott spends per year for auto insurance.

Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is

25/100 × x = 0.25 × x = 0.25x

Therefore, the amount that Meghan spends would be

x + 0.25x = 1.25x

If the amount that they spent together is $1237.50 per year, it means that

x + 1.25x = 1237.5

2.25x = 1237.5

x = 1237.5/2.25

x = 550

The amount that Meghan spent per year would be

1.25 × 550 = 687.5

6 0

3 years ago

According to a report, 11 people got colds for every 2000 people.

lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 1200 people

r = number of success = one or more people got a cold

p = probability of success which in our question is probability

that people got colds, i.e; p = $\frac{11}{2000}$ = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X $\geq$ 1)

P(X $\geq$ 1) = 1 - P(X = 0)

= $1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}$

= $1- (1 \times 1 \times 0.9945^{1200})$

= 0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0

3 years ago

Please help me out ...

fgiga [73]

Angle1 = 90 degrees

Angle2 = 15 degrees

Angle3 = 75 degrees (because 180-15-90=75 and all angles equal 180 degrees)

Side1 = 300

Side2 = x (unknown)

Solve for x:

X / sin(15degrees) = 300 / sin(75degrees)

X = (300•sin(15degrees)) / sin(75degrees)

X = 80.38...

= 80

8 0

3 years ago

A hardware store sells single digits to be used for house numbers. There are five 5s, four 4s, three 3s and two 2s available. Fr

Andrei [34K]

Since there are no restrictions on the three-digit numbers (for example no repetitions), we actually don't care about the values of the digits. All we need to know is that there are

$5+4+3+2 = 14$

possible digits, and that we have to extract a triplet from here.

For problems like this we have the binomial coefficient, defined as

$\displaystyle \binom{n}{k} = \dfrac{n!}{k!(n-k)!},\qquad 0\leq k \leq n$

This number tells you how many subsets of k elements you can extract from a set of n elements. So, in your case, you want to compute

$\displaystyle \binom{14}{3} = \dfrac{14!}{3!11!} = \dfrac{14\cdot 13 \cdot 12}{3\cdot 2} = 14\cdot 13 \cdot 2 = 364$

6 0

2 years ago