What are vertically opposite angles

Answers

Answer 1

Answer: When two lines cross, there are four angles at the place where they cross.
Two angles that do NOT share a side are vertical angles. There are two pairs
of vertical angles where the lines cross.

Also, by the way, vertical angles are always equal to each other. It's often
very helpful to know that.

Answer 2

Answer: When two angles of two lines are directly facing one another, or opposite, hope this helps!

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How much is 5a(6b+12)

Answers

When writing an expression in expanded form, we just need to multiply what's outside the parentheses by everything that is inside the parentheses.

5a (6b + 12)

(5a * 6b) + (5a * 12)

30ab + 60a

And that is our answer.
5a (6b + 12) in expanded form is 30ab + 60a.
Hope that helped =)

5a (6b+12)

5a*6b+5a*12

30ab+60a
This is the answer

Meena sells apple pies at the farmers market. She charges $12 for each pie. It costs her $5 to make each pie, and there is a $35 fee she must pay each week to have a booth at the market.Write and solve an inequality to find the number of pies Meena must sell each week in order to make a profit.

Answers

12x - 5x > 35 ; Meena must sell more than 5 pies each week to make a profit.

Where sales 12x less costs 5x is greater than $35.

12x - 5x   > 35
  7x > 35
÷7   ÷ 7
x > 5

To check:

Let x be 6; it is greater than 5.

12x - 5x   > 35
12(6) - 5(6) > 35
72 - 30 > 35
42 > 35

The answer to your question is 12x - 5x > 35.

Meena must sell more than 5 pies each week to make a profit.

A set of cards includes 20 yellow cards, and 24 blue cards. What is the probability, written in decimal form, that a blue card is chosen at random? (Help please)

Answers

0.55
Number of favorable outcome/Total number of possible outcome
24/(20+24)

.54 I believe.
20 yellow and 24 blue = 44 cards in all
divide 24 by 44 and you get a .54 repeating decimal.

There were 28 white ducks swimming in a pond.Twice as many brown ducks flew in and landed in the pond.
Then half of the white ducks flew away.
How many ducks remained in the pond?