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Answer:

25

Step-by-step explanation:

x = 72

y = 54

z = 54

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The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.

The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.

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For any triangle, the three angles always add to 180. This means,

x+y+z = 180

72+y+z = 180 .... plug in x = 72

72+y+y = 180 ... recall that y = z

2y+72 = 180

2y = 180-72

2y = 108

y = 108/2

y = 54, which is also the measure of angle z as well

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As a quick check,

x+y+z = 72+54+54 = 180

which helps confirm the answer.

Answer:

D = x >/ -4

R = 2

Step-by-step explanation:

Answer:

Answer:

63

Step-by-step explanation:

Answer:  

The answer to 441 divided by 7 calculated using Long Division is:

63

0 Remainder

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

Hope this is clear enough, if not feel free to ask me any questions.

Answer:

8.8420

Step-by-step explanation:

Step-by-step explanation:

12 shots in 5 minutes.

12/5 ratio.

how long for 5 shots ? x minutes

5/x must be the same ratio as 12/5

so,

5/x = 12/5

25/x = 12

25 = 12x

x = 25/12 = 2 1/12 ≈ 2.08 minutes =

= 2 minutes and 5 seconds

(60 seconds per minute divided by 12 = 5)

Since y is inversely proportional to [tex]x^2[/tex], the value of y, when x = 10 is 4.

Given the following data:

To find the value of y, when x = 10:

Mathematically, translating the inverse relationship between x and y, we have:

[tex]y \;\alpha\; \frac{1}{x^2} \\\\y \;= \frac{k}{x^2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]16 = \frac{k}{5^2} \\\\k = 16 \times 25[/tex]

k = 400

Now, we can find the value of y, when x = 10:

[tex]y = \frac{400}{10^2} \\\\y = \frac{400}{100}[/tex]

y = 4

Read more: https://brainly.com/question/18676621

Answer:

slope= - 9/4    yintercept 0,2

Step-by-step explanation:

Answer:

slope = - [tex]\frac{9}{4}[/tex] , y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide terms by 4 )

y = - [tex]\frac{9}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = - [tex]\frac{9}{4}[/tex] and y- intercept c = 2

Answer:

44

Step-by-step explanation:

Isosceles triangles have two angles that are equal.  If the two equal angles are 68

We have  68, 68, and an unknown angle x

They add to 180

68+68+x = 180

136+x=180

x =180-136

x =44

Answer:

1/2

Step-by-step explanation:

Slope is the rise over the run.  This means the difference in the y values over the difference in the x values.

The two points on the graph are (2,-2) and ( -6, -6 ).

The difference in the y values is a total of 4 units.

The difference in the x values is a total of 8 units.

The slope would then be 4/8 which simplifies to 1/2.

The line slants upward from left to right so the slope is positive.

Answer:

Yes

Step-by-step explanation:

Because any vertical line drawn doesn't meet the graph at two points.

So this concludes that there is a single output for any input. Which is the basic requirement for a function

Answer:

s+s+s =p

2x+6+2(x-4)+x+3=p

2x+ 6 + 2x-8+x+3=p

Answer:

[tex]f(x) = x - 1 \\ f(3) = 3 - 1 = 2 \\ f(4) = 4 - 1 = 3 \\ f(5) = 5 - 1 = 4 \\ f(6) = 6 - 1 = 5[/tex]

Answer:

See attached photograph

Step-by-step explanation:

It is a simple matter of subtracting 1 from the given x value. For example, when x=3 we need to subtract 1 away from it to find f(x); so, f(x)=2.

Side note: the term "f(x)" means "y", so when plotting this information on a graph, you will use the f(x) column as your y value.

Answer:

First number line: 3rd line from 0

Second number line: 7th line from 0

(Sorry if I explained it kinda weird, hope this helps!)

Step-by-step explanation:

On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is  plot the dot on 3/5, or the 3rd line from 0.

Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.

Answer:

0.52

Step-by-step explanation:

I gotten this question before the answer is 3

Answer:

-27/35, and the decimal answer -0.77142857142

Step-by-step explanation:

multiply the fractions- 3 x 9 equals 27, 7 x 5 equals 35. The answer is negative.

Answer:

I do not know if there is this worksheet online which comes with answers, but you can post questions here on brainly, and I can help you clarify them!!

:>>

Answer:   D

Step-by-step explanation:

Break up the equation and you get 2x + 14 - 7 = 2x - 7 aka the same equation

Answer:

Based on the graphs shown, what would you conclude about the conditions under which enzymes function in cells?

A

Enzymes are most effective at a particular pH and temperature but can function over a range of pH and temperature.

B

С

Enzymes do not have a specific pH or temperature at which they are most effective but function optimally over a range of pH and temperature.

Enzymes work equally well at the low and high ends of their temperature range but reaction rate drops quickly at the high end of their pH range

Enzymes only function at a specific pH and temperature and cannot function over a range of pH or temperature.

D

Answer:

y = - 5x + 21

Step-by-step explanation:

Slope: -5

Point: (5, -4)

b = - 4 - (- 5)(5)

b = - 4 + 25

b = 21

Answer:

(Go with the melon, tomato, or pumpkin)

Step-by-step explanation:

MELON: I chose the melon. The target is 40ft away, so the maximum height of the launch has to be 12 feet.

TOMATO: I chose the tomato (because the numbers are round and easy to manipulate) The target is 60ft away, so the maximum height of the launch has to be 45 feet.

PUMPKIN: I chose the pumpkin. The target is 50 ft away, so the maximum height is 62 feet.