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3 years ago

10

I am extremely confused about the length of line segment AB. Could I get some help? (I have attached an image to this post)

1 answer:

Evgen [1.6K]3 years ago

7 0

Answer:

The length of line segment AB is 9 units.

Step-by-step explanation:

To find this, you count how many squares there are between the two points. Hope I helped.

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The table below shows all outcomes for rolling 2 dice. The bold numbers 1 through 6 show the possible results for each die. All

Leokris [45]

Part I:

1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.

2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.

Part II:

Here you can see 36 possible outcomes.

1. The probability that at least 1 die is a 4 is:

$Pr(A)=\dfrac{11}{36}$ - (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).

2. The probability that the sum of the dice is greater than 5 is:

$Pr(B)=\dfrac{26}{36}=\dfrac{13}{18}.$

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

$Pr(A\cap B)=\dfrac{9}{36}=\dfrac{1}{4}.$

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

$Pr(A\cup B)=\dfrac{28}{36}=\dfrac{7}{9}.$

4 0

3 years ago

BD is the angle bisector of

AlexFokin [52]

Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

Solution:

BD is the angle bisector of ABC. So,

$m\angle ABD=m\angle DBC$

$3x=x+20$

$3x-x=20$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

$m\angle DBC=30^\circ$

And,

$m\angle ABC=(3x)^\circ+(x+20)^\circ$

$m\angle ABC=(4x+20)^\circ$

$m\angle ABC=(4(10)+20)^\circ$

$m\angle ABC=(40+20)^\circ$

$m\angle ABC=60^\circ$

Therefore, $m\angle DBC=30^\circ,m\angle ABD=30^\circ$ and $m\angle ABC=60^\circ$ .

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2 years ago

HELP ASAP?!?!?!? QUADRATIC REGRESSION MODELS

CaHeK987 [17]

Answer:

4.87138

Step-by-step explanation:

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3 years ago

What is the volume of the right?

Leokris [45]

Volume of the shape

= 4ft * 4ft * 15ft

= 240ft³

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3 years ago

Can you find the area

jonny [76]

Answer:

45in.

Step-by-step explanation:

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3 years ago