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I am Lyosha [343]
3 years ago
11

Solve for x. x + 5 > 4

Mathematics
2 answers:
Delvig [45]3 years ago
8 0

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

x + 5 (-5) > 4 (-5)

x > 4 - 5

x > -1

x > -1 is your answer.

~

kow [346]3 years ago
4 0

Answer:

x > -1

Step-by-step explanation:

Step 1: Write inequality

x + 5 > 4

Step 2: Solve for <em>x</em>

  1. Subtract 5 on both sides: x > -1

Here we see that any value <em>x</em> that is greater than -1 will work.

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What facts are required in order to conclude that m∠ADE = m∠ABC?
mariarad [96]

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

3 0
3 years ago
Lisa tapes three 7inch by 9inch pieces of construction paper together to make a happy birthday sign for her mom. She uses a piec
USPshnik [31]
Depends on how the papers are connected. if they are connected with the 7cm side joining each other, use solution one. if they are connected with the 9cm side joining each other, use solution two.


perimeter of edges of sign= 2 [(9x3)+7]
= 68 inches

left over= 144-68
= 76 inches



OR


perimeter of edges of sign= 2[(7x3)+9]
= 60 inches

left over= 144-60
= 84 inches
7 0
3 years ago
A strip mall generates $215,000 in effective rental income and $3,000 in other income. The same mall has $102,000 in operating e
Gnesinka [82]

Answer: $116,000

Step-by-step explanation:

The net operating income will be the operation profit after deducting the expenses from the accrued revenue (reserve exclusive)

The revenue generated are $215,000 + $3,000

= $218,000

Expenses incurred;

$102,000

The net operating income = $218,000 - $102,000

= $116,000

Note that reserves is not used in business operation. Therefore it cannot be regarded either as revenue or expenses.

6 0
4 years ago
Forty-two times twenty-seven
sammy [17]
1,134. :DD Hope I helped!
3 0
3 years ago
Read 2 more answers
A basketball player makes 70% of the free throws he shoots. Suppose that he tries 15 free throws.
Volgvan

Answer:

a.) .95

b.) The expected number of baskets is 10.50.

c.) 1.7748

Step-by-step explanation:

a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.

b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.

c.) The standard deviation of a binomial distribution can be calculated by the formula \sqrt{(sample size)(probability)(1-probability)}. Plugging in the numbers you get \sqrt{(15)(.7)(.3)}=1.7748.

8 0
3 years ago
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