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borishaifa [10]
2 years ago
12

Which of the following statements is true for ∠a and ∠b in the diagram?

Mathematics
2 answers:
Iteru [2.4K]2 years ago
8 0

Answer:

B because they are the same angle

Dafna1 [17]2 years ago
6 0

Answer:

B. m∠a = m∠b

Step-by-step explanation:

This statement is true due to the <u><em>Alternate Interior Angle Theorem</em></u>, which states: <em>If ∠a = x, then ∠b = x, </em>meaning that if <em>a</em> equals a certain angle measure, then the <em>alternate interior angle</em>, or the angle opposite a, must also be the same measure.

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Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green
Mars2501 [29]

Answer:

No, the events "brown hair" and "brown eyes" are not  independent.

Step-by-step explanation:

The table that represents the  hair and eye colors of thirty students of the fifth grade are given in table as:

                         Brown hair          Blonde hair              Total

Green eyes           9                       6                               15

Brown eyes          10                       5                              15

Total                     19                        11                             30

No, the events  "brown hair" and "brown eyes" are not independent.

Since, two events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

where P denotes the probability of an event.

Here we have:

A= students having brown hair.

B= students having brown eyes.

A∩B= students having both brown hair and brown eyes.

Now,

P(A)=19/30  (ratio of addition of first column to the total entries)

P(B)=15/30  ( ratio of addition of second row to the total entries)

Also,

P(A∩B)=10/30

Now as:

P(A∩B) ≠ P(A)×P(B)

Hence, the two events are not independent.

8 0
2 years ago
If y is proportional to x and y = -15 when x = -20, what is the value of x when y = 12?
alexandr402 [8]
Maybe i have that you wanted We can represent the situation like that: Y=-15 and x=-20 Then When y=12 x=? We make x(The unknown) *-15=12*(-20) We have an simple équation to solve Thus x=(12*(-20))/-15 X=16
7 0
3 years ago
Read 2 more answers
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur
Deffense [45]

Answer:

\dfrac{2s^3+136}{s}

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = 34$ ft^3

Volume of the box =s^2h

Then:

s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box= 2(s^2+sh+sh)

S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}

7 0
2 years ago
A coordinate plane is shown.
frutty [35]

Answer:

The answer is C

Step-by-step explanation:

First you would start at the origin then move 3 units to the right then move 6 units up then that is your point

8 0
2 years ago
Read 2 more answers
If 7x+3=24 what is the value of 5-4x?
sleet_krkn [62]
If 7x+3=24, that means x would be 3 so if you take 5-4x then that would be -7.
5 0
3 years ago
Read 2 more answers
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