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Flura [38]
2 years ago
15

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°

. Complete the following statements.
Since angle G is _____angle, the opposite side, JH, is
____

The order of the side lengths from longest to shortest is
____ ____ ____
Mathematics
2 answers:
stiv31 [10]2 years ago
8 0

Answer:

Since angle G is the largest angle, the opposite side, JH, is the longest. The order of the side lengths from longest to shortest is JH, HG, GJ

Guest
1 year ago
you got it backwards
Elodia [21]2 years ago
4 0

Answer:

Since angle G is Largest angle, the opposite side, JH, is

Longest

The order of the side lengths from longest to shortest is

JH, HG,  GJ

Guest
1 year ago
its HJ, GH, and GJ
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A family needs to build fencing around their rectangular home and square swimming pool, depicted below. A rectangle labeled home
Andrej [43]

Answer:

The total amount of fencing they need can be written as  

38 x + 10.

If x = 5;

The family needs  160  yards of fencing for their home.

The family needs  40  yards of fencing for their pool.

Step-by-step explanation:

5 0
1 year ago
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The density of an object can be found by taking its mass and dividing by its volume. Write an equation to represent the relation
prisoha [69]

Answer:

Step-by-step explanation:

The density of an object can be found by taking its mass and dividing by its volume.

Hence if density is D , Mass is M and Volume is V

D=\frac{M}{V}

a)

M = 500 gms

V = 40 cubic cm

D=\frac{500}{40}

D=12.5

b)

M = 125 gms

V = 1.4 cubic cm

D=\frac{125}{1.4}

D=89.28

D =89.28 gm per cc

3 0
1 year ago
A really bad carton of eggs contains spoiled eggs. An unsuspecting chef picks eggs at random for his ""Mega-Omelet Surprise."" F
Dima020 [189]

Answer:

(a) The probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b) The probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c) The probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

Step-by-step explanation:

The complete question is:

A really bad carton of 18 eggs contains 8 spoiled eggs. An unsuspecting chef picks 5 eggs at random for his “Mega-Omelet Surprise.” Find the probability that the number of unspoiled eggs among the 5 selected is

(a) exactly 5

(b) 2 or fewer

(c) more than 1.

Let <em>X</em> = number of unspoiled eggs in the bad carton of eggs.

Of the 18 eggs in the bad carton of eggs, 8 were spoiled eggs.

The probability of selecting an unspoiled egg is:

P(X)=p=\frac{10}{18}=0.556

A randomly selected egg is unspoiled or not is independent of the others.

It is provided that a chef picks 5 eggs at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.556.

The success is defined as the selection of an unspoiled egg.

The probability mass function of <em>X</em> is given by:

P(X=x)={5\choose x}(0.556)^{x}(1-0.556)^{5-x};\ x=0,1,2,3...

(a)

Compute the probability that of the 5 eggs selected exactly 5 are unspoiled as follows:

P(X=5)={5\choose 5}(0.556)^{5}(1-0.556)^{5-5}\\=1\times 0.05313\times 1\\=0.0531

Thus, the probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b)

Compute the probability that of the 5 eggs selected 2 or less are unspoiled as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

              =\sum\imits^{2}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=0.0173+0.1080+0.2706\\=0.3959

Thus, the probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c)

Compute the probability that of the 5 eggs selected more than 1 are unspoiled as follows:

P (X > 1) = 1 - P (X ≤ 1)

              = 1 - P (X = 0) - P (X = 1)

              =1-\sum\limits^{1}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=1-0.0173-0.1080\\=0.8747

Thus, the probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

6 0
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Which of the following is a perfect square trinomial ?
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Answer:

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Step-by-step explanation:

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Gretchen made $56,750 last year. She paid $1,200 in student loan interest and made a $3,000 contribution to her IRA. On her fede
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d. Adjustments

Studen loan interests and IRA contributions are deductions found under the heading of ADJUSTMENTS TO INCOME to compute for the Adjusted Gross Income or AGI.

Standard deductions are those based on the filing status of the individual and not his total itemized deductions. Regardless of the actual expenses incurred by an individual, he can claim a standar deduction if he is single, head of household, married filing separately, married filing jointly, qualifying widow(er). at the time he files for his federal tax return.

taxable income is the income left from all the necessary deductions.

For example: Gretchen's income =>                 $56,750
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             IRA Contribution            3,000                  -  4,200
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Taxable income                                                    $52,550

8 0
1 year ago
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