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zalisa [80]
3 years ago
15

Which relationship exists between the two angles? What is the value of x? Find the measure of each angle. A) vertical angles; x

= 3; 76 degrees; 76 degrees B) alternate exterior angles; x = 5; 116 degrees; 64 degrees C) corresponding angles: x = 7; 156 degrees; 156 degrees D) alternate exterior angles; x = 5; 116 degrees; 116 degrees
Mathematics
2 answers:
Nutka1998 [239]3 years ago
7 0
The diagram shows angles (20x+16)° and (21x+11)° are alternate exterior angles, hence equal.
.. 20x +16 = 21x +11
.. 5 = x . . . . . . . . . . . . . subtract 20x +11
.. (20*5 +16)° = 116°

Selection D is appropriate.
ziro4ka [17]3 years ago
6 0
<span>D) alternate exterior angles; x = 5; 116 degrees; 116 degrees
</span>
If the diagram given by derricklawrence is correct, then you will realize that the angles with expressions are alternate exterior angles, so they have the same value, which means that the equations are equal to each other. So we can create the following equality:
21x + 11 = 20x + 16

Now to solve for x. Subtract 20x from both sides, getting:
x + 11 = 16

Subtract 11 from both sides, getting:
x = 5

Now substitute the known value for X into one of the equations.
20x + 16 = d
20*5 + 16 = d
100 + 16 = d
116 = d

And of the available options, choice "<span>D) alternate exterior angles; x = 5; 116 degrees; 116 degrees" is an exact match.

</span>
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4 0
1 year ago
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
Vladimir79 [104]

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

P(E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

(\left {{20} \atop {2}} \right. )=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

(\left {{3} \atop {2}} \right. )=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

\frac{3}{190}\\ =0.01579\\=0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

Learn more about probability here brainly.com/question/27474070

#SPJ4

4 0
1 year ago
Assume the radius of a circle is
Lisa [10]

Answer:

Step-by-step explanation:

They want you to see how radius is important.  Just remember that one radian is one radius,  that should help  you see why radius is important.

They ask for the unit circle ,  that is a circle of one unit for the radius,  which makes it super easy to calculate things for it,  they ask what is the area, which is that famous formula, πr^{2} ,  then they ask what's its circumference.  which is that other famous formula  2πr

so to go all the way around a circle of one unit radius,  it's  2π  exactly or about 6.28..... units,   call it meters, or feet or inches, it doesn't mater here.

the size of the circle doesn't matter here either,  b/c we are using the radius ,  that relaationship doesn't change ,  all circles,  what ever size , have this same relationship between the radius and radians.    :P  this is handy.  

7 0
2 years ago
Graph ​ y−5=−2/3(x+9)​.<br> plot two different points. please show work i am very lost. thank you
Sidana [21]
Y -:5 = 2/3x + 6 because 6 is 2/3 of 9
add 5 to both sides
y - 5 +:5 = 2/3x + 6 + 5
y = 2/3x + 11
the y intersept is 11 or (0 , 11) when x is 0
when x is 3
y = 2/3 (3) + 11 or 2 + 11 = 13
so a 2nd point could be (3 , 13)
4 0
2 years ago
Solve <br> 7x + 6 &lt; -22 need help asap!
VLD [36.1K]

Answer:

x<−4

Step-by-step explanation:

7x+6<-22

7x+6-6<-22-6

7x<-28

7x/7<-28/7

x<-4

Hope it helped!

4 0
2 years ago
Read 2 more answers
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