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Natasha2012 [34]
3 years ago
9

Given the following diagram, find the required measure.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

∠ 5 and ∠ 2 are alternate angles and congruent , thus

∠ 5 = 40°

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The table shows the steps for solving the given inequality for x.
slavikrds [6]

Given inequality -3(4-6x) < x+5.

We have -3 in front of Parenthesis.

That represents multiplication of -3 and Parenthesis.

The multiplication of Parenthesis could be done by applying distributive property.

On distributing, we get

-12+18x < x+5

x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5

-12+17x < 5

Now, we need to get rid -12 from left side.

So, we need to apply addition property of equality, we need to add 12 on both sides, we get

-12+12+18x < x+5+12

17x < 17

We need to get rid 17 from left side. So we need to apply division property of equality.

On dividing both sides by 17, we get

17x/17 < 17/17

x<1.

8 0
2 years ago
Brad is having a party and buys a large cube of cheddar cheese at the market. The cube is 4 inches in height. When Brad gets hom
Naddika [18.5K]

Answer:

32 cubic inches

Step-by-step explanation:

4^3= 64

64/2= 32

3 0
2 years ago
A square has an area of 576 great inches how long is each side of feet
bija089 [108]
The formula for the area of a square is A=s*s or A=s^2
So we can plug in the area and solve for the side
576=s^2 (square root both sides)
s=24 inches

Since one foot is 12 inches, 24 inches would be 2 feet

Hope this helps
6 0
2 years ago
Read 2 more answers
Macie Andersen earns $9.75 an hour working at the local bookstore. Last week she worked 17 hours. This week she worked 25 hours.
vovangra [49]

Answer:

$407.50

Step-by-step explanation:

take 9.75 × 17=165.75

take 9.75 × 25=243.75

add 165.75 and 243.75=407.50

turn into dollars $407.50

6 0
3 years ago
You are given 3 to 1 odds against tossing three tails with three​ coins, meaning you win ​$3 if you succeed and you lose ​$1 if
valentina_108 [34]

Step-by-step explanation:

  • To find the E(X) expected value, you come up with the different probabilities for each outcome
  • your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
  • Each element has a probability of 1/8 so let x represent number of tails
  • Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}
  • The E(x)=Summation (x times P(x))
  • E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5
  • Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
  • So you can expect to lose money in 1 game
  • But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
8 0
3 years ago
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