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3 years ago

What's the value of x?enter your answer in the box

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

The answer is that x is 84 degrees

Elodia [21]3 years ago

3 0

The value of x is 84 degrees

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Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

2 years ago

Use the table of probabilities to answer questions 1-3

lora16 [44]

Answer:

what

Step-by-step explanation:

8 0

2 years ago

What is an equation of a line that passes through the points (8 , -3) (8 , 4)

elixir [45]

Answer:

Step-by-step explanation:

(8,-3),(8,4)

since both points have the same x value, this means you have a vertical line with an undefined slope...so ur equation would be x = 8....because no matter what y is, x will always be 8

7 0

2 years ago

The table shows a function. Is the function linear or nonlinear?<br> x y<br> 7 20<br> 8 12<br> 9 7

Crazy boy [7]

Answer:

Non-linear because none of them repeat.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Answer as mixed number (if possible)

Fiesta28 [93]

You're looking for 2/9 of 3/6 which means you are solving 3/6 ÷ 2/9.

When I was in sixth grade, my teacher always said "Dividing fractions, easy as pie. Flip the second and multiply." At the time, I thought I was too old for stuff like that, but now, I'm in ninth grade, and I haven't forgotten it. If you learn one thing, learn fractions, and learn them well because they never leave.

Anyway, 3/6 ÷ 2/9 becomes 3/6 × 9/2. Another thing from my teacher: "Multiplying fractions, no big problem. Top times top over bottom times bottom." So, 3 × 9 = 27 and 6 × 2 = 12. 27/12.

To make that a mixed number, do 27 ÷ 12. 12 goes in 2 times. This is the big number in your mixed number, your coefficient. Then you have 3 left over. (12 × 2 = 24. 27 - 24 = 3.) This is your numerator. And 12 is still your denominator.

Your answer is 2 3/12, which simplifies to 2 1/4.

5 0

2 years ago

Read 2 more answers

What's the value of x?enter your answer in the box​

What's the value of x?enter your answer in the box