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2 years ago

Find the value of xx, yy, and zz in the parallelogram below.

Mathematics

2 answers:

Mnenie [13.5K]2 years ago

4 0

Answer: x = 36, y = 10, and z = -25

Step-by-step explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10

Monica [59]2 years ago

4 0

According to definition of parallelogram

opposite sides and angles are equal

Consecutive sides have sum 180°

$\\ \rm\hookrightarrow 2x+9+99=180$

$\\ \rm\hookrightarrow 2x+108=180$

$\\ \rm\hookrightarrow 2x=72$

$\\ \rm\hookrightarrow x=36$

2x+9=72+9=81

And

-3z+6=81
-3z=75
z=-25

And

9y+9=99
9y=90
y=10

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Use the function below to find F(2).<br> F(t) = 2•1/2^3t

navik [9.2K]

Answer:

$F(2)= \frac{1}{32}$

Step-by-step explanation:

The given function is

$F(t) = 2 \cdot \: \frac{1}{{2}^{3t} }$

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

$F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} }$

We multiply the exponent in the denominator to get:

$F(2) = 2 \cdot \: \frac{1}{{2}^{6} }$

We evaluate to get:

$F(2) = 2 \cdot \: \frac{1}{64}$

We now cancel the common factors to get:

$F(2) = \frac{1}{32}$

6 0

3 years ago

Use a graphing utility to graph the function and visually estimate the limits.

levacccp [35]

The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = $4x cos x$

First to calculate the limit value of the given function at x=0.

$\lim_{x \to 0} f(x)$ = $\lim_{x \to 0} 4x cosx$

= 4×0×1 (∵ cos0 = 1)

$\lim_{x \to 0} f(x)$ = 0

Similarly,

$\lim_{x \to \frac{\pi }{3} } f(x)$ = $\lim_{x \to \frac{\pi }{3} } 4x cosx$

= 4× $\frac{\pi }{3}$ ×cos $\frac{\pi }{3}$

= 4× $\frac{\pi }{3}$ × $\frac{1}{2}$ (∵cos60° = $\frac{1}{2}$ )

$\lim_{x \to \frac{\pi }{3} } f(x)$ = 1.153

Hence, The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

8 0

1 year ago

If anyone is good at math and likes to help someone that is not good with it I will give you brainliest

hammer [34]

Answer:

1st pic answer:

Slope= -3

Parallel slope= -3

Perpendicular slope = 1/3

2nd pic answers:

1 and 2 are parallel

1 and 3 are perpendicular

2 and 3 are perpendicular

Step-by-step explanation:

To find the slope in your first equation (6x+2y=1) you need to get y alone so that your equation will be in slope-intercept form (y=mx+b).

6x+2y=1 Start by subtracting the 6x over to the other side.

-6x -6x

2y= -6x+1 Next divide by 2 to get y completely alone.

$\frac{2y}{2} =\frac{-6x}{2}+\frac{1}{2}$

y= -3x+1/2

So to answer the first part your slope is -3. Parallel slope would be the same as your regular slope. Perpendicular would be the opposite, so that means you have to flip it and change the sign.

-3 flipped is -1/3

if you change the sign it becomes positive giving you 1/3

Part 2

Your first step would be to get all the equations into the slope-intercept form (y=mx+b). The second one is already in the form so we only need to change 1 and 3.

3y=5x+2 To get y alone you need to divide everything by 3.

$\frac{3y}{3}=\frac{5x}{3} +\frac{2}{3}$

y=5/3x+2/3 Before we work on equation 3 we can go ahead and compare equations 1 and 2.

1: y= $\frac{5x}{3} +\frac{2}{3}$

2: y= $\frac{5x}{3} +7$ Since 1 and 2 have the same slope they would be parallel.

Now to change equation 3.

6x+10y=8 Start by subtracting the 6x over to the other side.

-6x -6x

10y=-6x+8 Now divide everything by 10 to get y alone.

$\frac{10y}{10}=\frac{-6x}{10} +\frac{8}{10}$

y=-6x/10+8/10 Now we need to simplify the fractions using common factors. I'm going to use 2 for both equations, so you take -6 and 10 both divided by 2, which gives you -3 and 5(-3x/5). Now do the same with the other fraction. 8 and 10 divided by 2 gives us 4 and 5 (4/5)

3: y= $\frac{-3x}{5}+\frac{4}{5}$

2: y= $\frac{5x}{3} +7$

1: y= $\frac{5x}{3} +\frac{2}{3}$

Since three has an opposite slope of both 1 and 2 it would be perpendicular to both.

5 0

3 years ago

Find the area of the polygon

Natali [406]

Answer:

20 cm^2

Step-by-step explanation:

Sectioned it off and multiplied the length by the width

5 0

3 years ago

Describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?

Ugo [173]

Answer:

3 and 5 is the correct answer in this question

Step-by-step explanation:

please makes me a brainlest

3 0

1 year ago