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3 years ago

Can anyone help me????

Mathematics

1 answer:

Mila [183]3 years ago

4 0

Answer:

16, 8, 28, 84, 10, 16, and 96

Step-by-step explanation:

Bc its a parallelogram, the opposite sides are equal. so HI is equal to KJ which is 16. For GH its parallel to GJ so its 8. For the measure of KIH, we know that the measure of IKJ is 28, so the opposite side, it would be 28 for KIH. For the measure angle of KJI, the same applies, the opposite is KHI which is 84. KH is the opposite of JI which is 10. For HJ, you have half the line which we know from GJ is 8, so the other half would also be 8 making HJ 16 in total. For the measure angle of JIH, the opposite is JKH, we know that 28 makes up a small part of that. The angle KHI also distributes into this, 28+84=112. Each triangles angles should equal up to 180 so 180-112= 68 so the other side of 28 is 68. Now the 84 angle isn't completely distributed into the angle but we needed that to figure out the 68 part. So now that we have 28 and 68 we add that together and get 96.

Hope this helped :) sorry if it got a little confusing

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Answer:

Checkout the image below the explanation.

Step-by-step explanation:

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Step 1: Simplify both sides of the inequality.

$-6x + 2 < 8$

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$-6x + 2 - 2 < 8 - 2$
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Step 3: Divide both sides by -6 and flip the sign.

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3 years ago

34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.

sveticcg [70]

Answer:

Median

Step-by-step explanation:

The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.

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3 years ago

Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Alja [10]

Answer:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: $(a +b)^n, n > 0$

Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.

Here, $(a+b)^n = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}$

or, on simplification, the terms of the expansion are:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

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3 years ago

Read 2 more answers

The area of a rectangle is 4w - 10 square units.

podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

Solution:

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

The area of rectangle is given as:

$Area\ of\ rectangle = length \times width$

$Area\ of\ rectangle = 2 \times (2w - 5)$

Thus, multiplying the length and width of a rectangle, we get the area of the rectangle

When we multiply 2 with 2w - 5 we get the area of rectangle

From above we can say,

Length = 2 or 2w - 5

Width = 2w - 5 or 2

So when dimensions of rectangle are multiplied we get area of rectangle

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3 years ago

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julsineya [31]

Answer:

Step-by-step explanation:

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Percentage who had both cats and dogs , $n(C \cap D)$ = 12%

Percentage who had neither cats nor dogs, $n(C \cup D)'$ =45%

Now:

Universal Set, $U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'$

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Therefore:

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