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asambeis [7]
3 years ago
12

Which descriptions of the figure MUST be true? Select all that apply. There are three lines LK, LN, and LM starting from the com

mon point L. The angle KLN and MLN are congruent. The segment NK is perpendicular to the line LK and segment NM is perpendicular to the line LM. The length of segment NK is 7x-4 and the length of segment NM is 5x+12. The shape of the figure is like kite.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

Step-by-step explanation:

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In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t
Zepler [3.9K]

Answer:

<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>

Step-by-step explanation:

*The appropriate triangle is attached below.

From the diagram, the right triangle ABC has

  1. Hypotenuse = \overline{AC}=10\ inch
  2. m\angle C=40^{\circ}

The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.

We know that,

\cos \theta =\dfrac{b}{h}

Putting the values,

\Rightarrow \cos 40 =\dfrac{BC}{10}

\Rightarrow BC=\cos 40 \times {10}

\Rightarrow BC=7.66\ in

6 0
3 years ago
Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
3 years ago
Question 9(Multiple Choice Worth 5 points)
Charra [1.4K]

Answer: 3

Step-by-step explanation:

\frac{3-0}{1-0}=3

4 0
2 years ago
SOME ONE PLEASE HELP !!!!
Andrei [34K]

x = 20 - -5 = 20 + 5 = 25

y = 16 - 1 = 15

<h2>x = 25</h2><h2>y = 15</h2>

7 0
3 years ago
You read 15 pages of your psychology text in 90 minutes, how many pages can you read in 4 hours
AURORKA [14]

Answer: 40

Step-by-step explanation:

1 hour and 30 min is 15 pages read

If you read for three hours its 30 pages

An hour and a half is three parts of 30 so three parts of 15 is five

But you need a whole hour so its ten

Then you add 10 and 30

Its 40 pages in 4 hours.

3 0
3 years ago
Read 2 more answers
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