Parallelogram FIRE

Given:
[tex]fi = (3x - 5) \: cm[/tex]
[tex]ir = (2y - 7) \: cm[/tex]
[tex]re = (x + 7) \: cm[/tex]
[tex]ef = (y + 3) \: cm[/tex]
a. What is the value of x?
b. How long is FI?
c. What is the value of y?
d. How long is EF?
e. From your answers in b and d, what is the perimeter of parallelogram FIRE?

Answers

Answer 1

Answer:

See the solutions below

Step-by-step explanation:

First note that the opposite side of a parallelogram are equal, hence;

For Parallelogram FIRE

fi = re

ef = ir

Given

fi = (3x-5)cm

ir = (2y -7)cm

re = (x+7)cm

ef = (y+3)cm\

a) If fi = re, then;

3x - 5 = x+7

3x - x = 7+5

2x = 12

x = 12/2

x = 6

b) Since FI = 3x - 5

FI = 3(6) - 5

FI = 18 - 5

FI = 13cm

c) Also ef = ir

y+3 = 2y - 7

y - 2y = -7-3

-y = -10

y = 10

d) EF = y+3

EF = 10 +3

EF =13cm

e) Perimeter of the parallelogram = FI + IR + RE + EF

Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm

Perimeter of the parallelogram = 52cm


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Answer:

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Answer:

C

Step-by-step explanation:

65%=65/100

=0.65

This is the required answer.

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Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b ≠ 1 ?

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Answer:

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Step-by-step explanation:

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x^2=37 ===》 x = + radical 37( acceptable )

===》 x = - radical 37(unacceptable)

Find M please in this Geometry question.

Answers

Answer:

m = 8

Step-by-step explanation:

As we can see we have two similar triangles

These are triangles FDH and GEF

mathematically, when two triangles are similar, the ratio of their corresponding sides are equal;

Thus;

DH/DF = EG/EF

12/15 = m/10

15 * m = 12 * 10

15 m = 120

m = 120/15

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plz help me pls
8 hr = _________ min

30 min = _________ s

15 hr = ___________ min

5 yr = ____________d

7 d = ____________ hr

24 hr = __________ min

600 s = __________ min

60,000 min = __________ hr

Answers

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

Which of the following shows a group of possible angles a triangle could have?

A. 10 degrees, 20 degrees, 190 degrees
B. 30 degrees, 60 degrees, 60 degrees,
C. 60 degrees, 90 degrees, 90 degrees
D. 50 degrees, 60 degrees, 70 degrees

Answers

Answer:

D) 50, 60, 70

Step-by-step explanation:

The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.

50+60+70= 180 degrees

Hope this helps

Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)

Answers

Answer:

Step-by-step explanation:

The hypotenuse is 200 meters.

The angle making the ground and the Hypotenuse is 7 degrees.

The trig relationship needed is the cosine.

Cos(7) = x / 200        Multiply both sides by 200

200*cos(7) = x

200* 0.9925 = x

x = 198.51

The calculator held the actual answer of cos(7)

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Answers

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?

Answers

Answer:y=-3

Step-by-step explanation:

The value of the asymptote of the function is,

⇒ y = - 3

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

g(x) is an exponential function shown in the graph.

We know that;

On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.

Hence, From graph,

The value of the asymptote of the function is,

⇒ y = - 3

Thus, he value of the asymptote of the function is,

⇒ y = - 3

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

find the gradient of the line segement between the points (0,-6) and (2,-16)

Answers

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

10. The figure is a rectangle. What is x?
28

Answers

Answer:

152

Step-by-step explanation:

180 minus 28 is 152 degrees

Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.

Answers

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5

30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?

Answers

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

Check out the image

Answers

Answer:

oop, okay

Step-by-step explanation:

Answer:

twitter should work

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example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites

Step-by-step explanation:

Gina is four years younger
than twice David's age. Gina
is 18. How old is David?

Answers

Answer:

44

Step-by-step explanation:

Gina is four years younger so

18+4=22

since its twice davids age

22×2=44

BRAINLY TO WHOEVER HELPS

Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10

Answers

Answer:

A, C and D

Step-by-step explanation:

B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go

A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?

Answers

Answer: No because when you do the volume of the cone is r=3cm h=12cm and the sphere is r=4cm

If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.

The snowcone is a sphere.

Volume of a sphere

volume = 4 / 3πr³

where

r = radius

Therefore,

volume of the snowcone = 4 / 3 × π × 4³

volume of the snowcone = 256 π/ 3 = 85.33π

Therefore, the volume of the cone canbe found as follows:

volume of the cone shaped paper = 1 / 3 πr²h

h = 12 cm

r = 6cm

volume of the cone shaped paper = 1 / 3 × π × 6² × 12

volume of the cone shaped paper = 144π

Therefore, let find if the ice melt in the cone whether it will overow.

144π - 85.33π = 58.67π

Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.

learn more on volume here: https://brainly.com/question/22910449

Gary took a trip to bikini bottom. He recorded his progress along the way in the following table

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Where is the table?

                                                                                             

A triangle has one angle that measures 100 degrees. If the other two
angles are isosceles, what is the measure of these two angles? (Have to submit In 15 minutes)

Answers

Answer:

40

Step-by-step explanation:

180 -100 = 80

80/2 = 40

Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?

Answers

Answer:

2 : 1

Step-by-step explanation:

teaspoons of sugar : teaspoons of milk

= 2 : 1

hope this helps :)

Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *

Answers

Answer:

$135

Step-by-step explanation:

She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.

A trout swam at a steady speed for 1.5minutes. It swam 9,900 centimeters in that time. What was its speed?

Answers

Answer:

6,600 cm per minute

Step-by-step explanation:

I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.

which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),

Answers

Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?

Answers

Answer:

52 / 1,560

Step-by-step explanation:

18 / 30

? / 1,560

1,560 / 30 = 52

52 / 1,560

Please find the missing angle of this Shape.

Answers

The answer is x= 60 degrees

Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?

Answers

Answer:

Anas= RS 1200

Ahsan= RS 800

Step-by-step explanation:

Given data

Amount=  Rs 2000

Ration=  6:4

Combined ratio = 6+4= 10

Let us apply the part to all method to solve for the individual amount

For Anas

2000/10= x/6

cross multiply

10x= 2000*6

10x=  12000

x= 12000/10

x= 1200

For Ahsan

2000/10= x/4

cross multiply

10x= 2000*4

10x=  8000

x= 8000/10

x= 800

What percent of 134 is 66? (To the nearest tenth of a percen t)

Answers

Answer: 49.25

Step-by-step explanation:

i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Answer:7

Step-by-step explanation:

Answer:

I shall help

Step-by-step explanation:

11. The answer is 96 because 12 times 8 is 96

12. The answer is B.

13. The answer is also B because you need to count. BIG BRAIN

14 The answer is 8.

Next time please think a little harder

BRain;liest pls

The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.

Answers

2.25 sq inches is what you should get.
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