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Andrew [12]
3 years ago
13

Find the missing angle. SHOW YOUR WORK!

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

120º

Step-by-step explanation:

All of the interior angles of a triangle have to add up to 180º, so the missing interior angle is 60 degrees once you add 24 and 96 and subtract the sum of 120 from 180.

As for the missing angle, it's supplementary with the interior one that was originally unknown. Subtract 60 from 180, and that will give you 120º.

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Find the measure of the angle.
vesna_86 [32]
It will be 4 16 because it a circle on square timing 94 Fahrenheit
5 0
2 years ago
How many different ways are there to choose a dozen donuts from the 4 varities at a donut shop so that you get atleast one donut
Leno4ka [110]

There are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop. (at least one donut of every variety must be selected)

<h3>How to calculate the number of ways to select items?</h3>

There are 'r' items from 'n' different varieties (repetition allowed). Then, the number of ways to select items is given by

The number of ways =  _{n+r-1}C_r

Where the combination _{n}C_r is calculated as

_{n}C_r=\frac{n!}{r!(n-r)!}

<h3 /><h3>Calculation:</h3>

It is given that there are 4 varieties of donuts in a shop. I.e., n = 4

Number of donuts to be selected r = 12 (one dozen)

And also given that at least one donut of every variety has to be selected.

Since there are 4 varieties, at least one from each of these means the count is 4.

So, the remaining number of donuts to be selected is 12 - 4 = 8.

So, r becomes 8 i.e., r = 8

On substituting,

the number of ways of selecting the remaining 8 donuts = _{4+8-1}C_4

⇒ _{11}C_4

⇒ \frac{11!}{4!(11-4)!}

⇒ \frac{11!}{(4!)(7!)}

⇒ 330

Therefore, there are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop.

Learn more about combinations here:

brainly.com/question/11732255

#SPJ4

5 0
2 years ago
Explain step by step please thank you!
ddd [48]

Answer:

Number of students in district = 3,055 students

Step-by-step explanation:

Given:

Ratio [Teachers to students] = 2 : 47

Total number of teachers in district = 130

Find:

Number of students in district

Computation:

Number of students in district = Total number of teachers in district[47/2]

Number of students in district = 130[47/2]

Number of students in district = 65[47]

Number of students in district = 3,055 students

5 0
3 years ago
Melanie uses the ordered pairs(2010,48) and (2013,59) to find her equation. Tracy defines x as the number of years since 2010 an
VARVARA [1.3K]

Answer:

The answer is "\bold{\frac{11}{3}}\\\\".

Step-by-step explanation:

Given value:

i) (2010,48) and (2013,59)

ii) (0,48) and (3,59)

Slope for the given point:

Formula:

\bold{M= \frac{y_2-y_1}{x_2-x_1}}

In point (i):

\to M= \frac{59-48}{2013-2010}\\\\

         = \frac{11}{3}\\\\

In point (ii):

\to M= \frac{59-48}{3-0}\\\\

         = \frac{11}{3}\\\\

6 0
3 years ago
Which statement best compares a line and a point
Volgvan
A line has 0 endpoints and extends forever in 2 directions and a point has 1 endpoint and extends forever in 0 directions.
6 0
4 years ago
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