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disa [49]
3 years ago
11

Name the marked angle in 2 different ways. N M L K

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

angle NML

angle LMN

I think so

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When writing a proof, how do you construct the first statement?
Vlad [161]

Answer:c

Step-by-step explanation:

C

3 0
3 years ago
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Given data set:
Murrr4er [49]

Answer:

mean =6, median =6.5  mode = 7

Step-by-step explanation:

mean =6, median =6.5  mode = 7

hello,

to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 66(total sum) divided by 11 (number of numbers) to get 6.

to find the median, you would organize the numbers from least to greatest and find the middle number which is 6.5

last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 7.

hope this helped!

7 0
3 years ago
Please help! What is x, 8 points!
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Replace tan^2(x) with sin^2 (x ) / cos^2(x)

2 sec(x) sin^3(x) = cos(x) * sin^2(x) / cos^2(x)    Cancel cos(x) with cos^2(x)

2 sec(x) sin^3(x) = sin^2(x) / cos(x)                     Multiply by cos(x) both sides

2 sec(x)*cos(x)*sin^3(x) = sin^2(x)                      Divide sin^2(x) both sides

Note sec(x) and   cos(x) will cancel when multiplied. giving you one

2 sin^3(x) / sin^2(x) = sin^2(x) / sin^2(x)             Do the division

2 sin(x) = 1                                                           Divide by 2

sin(x) = 1/2

x = sin-1(1/2)

x = 30 degrees or 150 degrees.

So the answers are pi/6 and 5/6 pi

5 0
3 years ago
Please show detailed work if possible-that will help me to better understand the questions
o-na [289]

Answer:

We are given the function:

f(x)=2x^2-x-10

Here,\\a=2, b=-1,c=-10

1. X-intercepts are the points at which the graph of a function intersects or cuts the x-axis. Since the x-intercept always lies on the x-axis, its ordinate or y-coordinate will always be 0. Since the function is quadratic, it will have at most 2 x-intercepts.

In order to find the x intercept, we basically solve for x at y=0:

f(x)=2x^2-x-10\\As\ y=0,\\0=2x^2-x-10\\2x^2-x-10=0\\ 2x^2-5x+4x-10=0\\x(2x-5)+2(2x-5)=0\\(x+2)(2x-5)=0\\Hence,\\Individually:\\x=-2,\ x=\frac{5}{2}

Hence, the x-intercepts of the parabola of f(x) is (-2,0),(2.5,0)

2. The vertex of parabola is determined as maximum or minimum, solely on how it opens. This depends on the nature of the co-efficient of the x^2 term or 'a'. If a is positive the parabola opens upwards (minimum point) and downwards (maximum point) if negative. Hence, here as a=2, the parabola opens upwards and its vertex is minimum.

Vertex=(\frac{-b}{2a},\frac{-D}{4a})\\Hence,\\D=b^2-4ac\\Substituting\ a=2,b=-1,c=-10:\\D=(-1)^2-4*2*-10=1+80=81\\Hence,\\Vertex\ of\ f(x)=(\frac{-(-1)}{2*2},\frac{-81}{4*2})=(\frac{1}{4},\frac{-81}{8})

3. [Please refer to the attachment]

From the graph, we observe that the parabola cuts the x-axis at (-2,0),(2.5,0). Also, its clear that the axis of symmetry passes through (\frac{1}{4},\frac{-81}{8}), which is its minimum point.

5 0
3 years ago
Walter had 2.5 yards of fabric at $3.70 per yard. How much did Walter pay for the fabric?
LekaFEV [45]

Answer:

$9.25

Step-by-step explanation:

2.5x$3.70=$9.25

8 0
3 years ago
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