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MAVERICK [17]
3 years ago
5

In the triangle ABC , Angle A = 46° and Angle B = 83°. How large is the exterior angle at C?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0

Answer:

180 - 46 - 83 = 51 is the measure of angle C

the exterior angle at angle C, and angle C, are supplementary. since angle C is 51 because of the interior angle triangle sum theorem, then the exterior angle is: 180 -51 = 129 degrees.

Step-by-step explanation:

I hope this helps :)

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There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz how many ways can t
beks73 [17]

Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.  

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways =(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

3 0
3 years ago
What is the volume, in cubic in, of a rectangular prism with a height of 8in, a width of 5in, and a length of 9in?
Maslowich

Answer:

360 in ^3

Step-by-step explanation:

The volume is given by

V = l*w*h

 = 8 * 5 * 9

  = 360 in ^3

3 0
3 years ago
Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

3 0
2 years ago
Read 2 more answers
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
PtichkaEL [24]
The answer is 132.665 but rounded it is 132.7
5 0
3 years ago
Read 2 more answers
Please help me with this. I really don't know how to evaluate it.
Vlad1618 [11]
To do this let's put 129 where X is, like this: -12(129)+14(129)-6(129)

Now we multiply -12 by 129, which is equal to -1548.

Now we multiply 14 by 129, which is equal to 1806.

Now we multiply -6 by 129, which is equal to -774.

Now, let's put these numbers into an equation, like this: -1548+1806-(-774).

The answer to this equation is 1032.

I hope this helps.


5 0
3 years ago
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