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True [87]
3 years ago
12

What is the midpoint of the segment shown below?

Mathematics
1 answer:
ratelena [41]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2,
andrezito [222]

Answer:

y = 9

Step-by-step explanation:

Calculate the slope m of line k using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)

m = \frac{y-8}{2-5} = \frac{y-8}{-3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}

The slope of line l is m = 3, thus slope of line k is

m = - \frac{1}{3}

Equating the 2 slopes for line k

\frac{y-8}{-3} = - \frac{1}{3} ( multiply both sides by - 3 )

y - 8 = 1 ( add 8 to both sides )

y = 9

7 0
3 years ago
If 480 pupils in a school are boys representing 4/5 of the school enrolment,find the total number of pupils in the school​
Nostrana [21]

Answer:

1000

Step-by-step explanation:

Let the total number of children in school be y.

Then according to the question (4/5) of children are boys.

Then as we know that the sum of fractions is 1.

The fraction of girls in school is

1 - (4/5)= (1/5)

So this means (1/5) of the total children in school are girls which means

Y × (1/5) =200 , according to question.

Which gives y =200×5=100

This means that the total number of children in school is 1000.

3 0
4 years ago
A coin is tossed 600times with the frequencies as:
brilliants [131]

Answer:

  • see below

Step-by-step explanation:

Total number of trials =600.

Number of heads = 342.

Number of tails = 258

On tossing a coin,

let  \: E_1  \: and  \: E_2  \: be  \: the  \: events \:  of \:  getting  \: a  \: head

and of getting a tail respectively.

then,

1)  \: P \:  (getting \:  a  \: head) = \: P \:  (E_1)

\longrightarrow \:  \frac{number \: of \: heads \: coming \: up}{total \: number \: of \: trials}

\longrightarrow \:  \frac{342}{600}  =  \frac{57}{100}

\longrightarrow \: 0.57

\red{ \rule{150pt}{3pt}} \:

2) P (getting \: a\: tail) =P (E_2)

\longrightarrow \:  \frac{number \: of \: tails \: coming \: up}{total \: number \: of \: trials}

\longrightarrow \:  \frac{258}{600}  =  \frac{43}{100}

\longrightarrow \: 0.43

6 0
3 years ago
Please help fast for 10 points and brainlist!! And it’s multiple choice!!! ANSWER ONLY IF YOU KNOW!! PLEASE EXPLAIN PREFER AND E
kari74 [83]

Answer:

C. 4yd * 3ft/yd * 12in/1ft * 2.54cm/1.in = 365.76cm

Step-by-step explanation:

First you change 4 yards into feet (By multiplying the 4 yard by 3 ft/1yd)

then you convert 12 feet into inches (By multiplying the 12 feet by 12in/1ft)

after you convert 144 inches to cm (By multiplying the 144 in by 2.54 cm/1in)

you’ll have the value in cm. Which is 365.76.

4 0
3 years ago
Andrea and her friends love cake. Andrea has two cakes. Each of her friends are going to eat 2/3 of a cake. How many friends doe
ehidna [41]
6 friends but 5 if andrea is eating
5 0
3 years ago
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