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lukranit [14]
3 years ago
12

In trapezoid HJLK, M and N are midpoints of the legs. Find KL. Help me please

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0
MN is the  mid-line of a trapezoid HJLK.<span>
The length of the mid-line of a trapezoid is half of the sum of the lengths of its bases </span>⇒
<span>
(KL + HJ)/2 = MN
(KL + 45)/2 = 28
KL + 45 = 28 * 2
KL + 45 = 56
KL = 56 - 45
KL = 11

</span><span>
</span>
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On a six-sided number cube, what is the probability that you will roll a number less than 4?
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Answer: 1/3

Step-by-step explanation:

Since greater than 4 is 2/3

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Robin donated bags of grain that each weighed 403 pounds to the local food shelf. If the total weight of the grain was 160 pound
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Well.. 160 x 3 = 480. So he would've had to give only 2 bags. But he would've given a fraction of a bag, but if you're only talking whole numbers, then the answer is 2. If you're talking fractions, then the answer is 2.51875.
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You deposit $2200 in the account that pays 3% annual interest compounded continuously after 20 years you withdraw the money what
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Answer: 6600

Step-by-step explanation:

To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?

Hint #22 / 5

Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}

100

5.5

​

start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.

\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd

Hint #33 / 5

To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.

\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54

Hint #44 / 5

\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}

0.055x

0.055

0.055x

​

x

​

 

=$1.54

=

0.055

$1.54

​

=6600

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I need to see a picture of the marbles to answer this question
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Write f(x) = 2x2 – 44x 185 in vertex form. To write f(x) = 2x2 – 44x 185, factor out from the first two terms. Next, form a perf
Tasya [4]

The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x –  11)² – 57.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadrattic equation is f(x) = 2x² – 44x + 185.

Take common 2 from the equation, we have

f(x) = 2(x^2 - 22x )+ 185

Add and subtract 121, we have

f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57

And we know that the standard equation

f(x) = a(x - h)² + k

On comparing, we have

The vertex (h, k) is (11, -57).

More about the quadratic equation link is given below.

brainly.com/question/2263981

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