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Alex
1 year ago
8

What angle is this and explain

Mathematics
1 answer:
REY [17]1 year ago
8 0

The measures of the angles are 59 degrees

<h3>How to determine the value of the angles?</h3>

The angles are given as:

Angle 1 = 2x + 17

Angle 2 = 3x - 4

By the interior angle theorem, the angles are congruent

So, we have

Angle 1 = Angle 2

Substitute the known values in the above equation

2x + 17= 3x - 4

Collect the like terms

3x - 2x = 17 + 4

Evaluate the like terms

x = 21

Substitute x = 21 in Angle 1 = 2x + 17

Angle 1 = 2 * 21 + 17

Evaluate

Angle 1 = 59

This means that

Angle 1 = Angle 2 = 59

Hence, the measures of the angles are 59 degrees

Read more about angles at:

brainly.com/question/25716982

#SPJ1

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A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many differe
Vikki [24]
This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm


4 0
3 years ago
Read 2 more answers
Which expression is equivalent to 0?<br> (a)(-a)<br> a +(-a)<br> a/-a <br> a - (-a)
cupoosta [38]

Answer:

a - a or (a +(-a))

Step-by-step explanation:

A negative plus a positive is always zero if they have the same variable.

6 0
3 years ago
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Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 150 eligible vote
alexdok [17]
The number of people who voted follows a binomial distribution with probability of having voted p=0.22 and n=150 subjects, which means the approximating normal distribution should have mean np=33 and standard deviation \sqrt{np(1-p)}\approx5.07.

With the continuity correction, you have

\mathbb P(X
8 0
3 years ago
Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxe
Sati [7]
A. The number of 10-boards Peter bought is equal to n divided by 10. Then, each of the 10-boxes will get two boxes of nails. The number of boxes of nails that Peter will have after buying n boards will be,

    N = (2)(n/10)

Simplifying,

<em>   N = n/5</em>

b. If the number of boards are 90 then,

     N2 = (90/10)(2)(100 nails/box)
     N2 = 1800

Answer: 1800
7 0
3 years ago
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How many multiples of 4 are there in {n; 37&lt; n &lt;1001}?
s2008m [1.1K]
Let's begin by listing the first few multiples of 4:  4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44.  So, between 1 and 37 there are 9 such multiples:  {4, 8, 12, 16, 20, 24, 28, 32, 36}.  Note that 4 divided into 36 is 9.

Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:

<span>How many multiples of 4 are there in {n; 37< n <101}?  We could list and then count them:  {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval.  Try subtracting 40 from 100; we get 60.  Dividing 60 by 4, we get 15, which is 1 less than 16.  So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:

1000
   -40
-------
 960

Dividing this by 4, we get 240.  Adding 1, we get 241.

Finally, subtract 9 from 241:  We get 232.

There are 232 multiples of 4 between 37 and 1001.

Can you think of a more straightforward method of determining this number? </span>

5 0
3 years ago
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