MATHEMATICS HIGH SCHOOL

The diagram shows two straight lines.Not drawn accurately
136°
Х
Work out the value of x.

Answers

Answer 1

Answer:

Answer:

x = 136º

Step-by-step explanation:

This is true because of the vertical angles rule. With vertical angles, they always equal each other.

Answer 2

Answer:

Final answer:

The two straight lines form vertical angles due to their intersection which are congruent, giving x a value of 136°.

Explanation:

The question pertains to angles and lines in geometry. Based on the information given, it seems that the two straight lines form vertical angles. Vertical angles are two angles whose sides form two pairs of opposite rays. They occur when two lines intersect, and are congruent, meaning they have the same measure.

In this case, x and 136° seem to be vertical angles. Therefore, the value of x would be equal to the other angle. So, x = 136°.

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Find the slope of the line that contains (-1,9) and (9,9)

Answers

Steps:
1. Do the slope formula
Y2-Y1
--------
X2-X1
2.
9-9
------
9- (-1)
3. 9-9=0
9 + 1=10
4. 0/10 = 0
5. Your answer is 0

0 becuase the slope of a line is the amount of one y to another and both y's are 9 so there is no slope.

What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?6
2
−4
−8

Answers

If you would like to find the coefficient of the variable in the expression 6 - 4x - 8 + 2, you can calculate this using the following step:

6 - 4x - 8 + 2 = 6 - 8 + 2 - 4x = - 4x

The correct result would be - 4.

Answer:

The coefficient is -4

Step-by-step explanation:

The rectangular vegetable garden in 6 feet longer than 2 times its width. If the perimeter is 48 feet, what is the garden's width? Remember, the perimeter of a rectangle is the sum of all its sides.

Answers

Since there are 4 sides in a rectangle, we'll divide 48 by 4

$(48)/(4)$ = 12

We know that the length is 6 feet longer than 2 times it width.

12 + 6 = 18

The length of one side of a rectangle is 18.

The total length of both sides is 36 because 18 + 18 = 36

48 - 36 = 12

The width of both sides of a rectangles is 12. Now if we divide 12 by 2 we'll get the width of one side of a rectangle..

$(12)/(2)$ = 6

The width of one side of the rectangle is 6.
The length of one side of the rectangle is 18.

Let's check and see if our answer is correct. We need to get a 48 as an answer since that's the perimeter of the rectangle.

2 × ( length + width )
2 × ( 18 + 6 ) = 48

Yay! We got it right!! Hope you understood this :)

Final answer:

The width of the garden is 6 feet. We found this by expressing the length in terms of width, substituting into the perimeter equation, simplifying to find the value of width.

Explanation:

In solving this problem, we will follow a few simple steps. First, we know that the perimeter of a rectangle is given by the formula: Perimeter = 2*length + 2*width. We know from the problem that the perimeter is 48 feet and the length of the garden is 6 feet longer than 2 times its width.

Let's denote the width as 'w'. Then, the length would be 2w + 6. Substituting these into the perimeter equation, we have: 48 = 2*(2w+6) + 2*w. Simplifying this equation gives 48 = 4w + 12 + 2w, which further simplifies to 48 = 6w + 12. If we now deduct 12 from both sides, we have: 36 = 6w. Finally, dividing by 6 gives us the width: w = 6 feet.

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15 points please help me (scatterplot)

Answers

i believe the correct ones are...

What is the simplified form of the following expression? 6c^2 + 2.5d - d + 2c^2 - 3d

Answers

Answer:

The simplest form would be:

8c² - 1.5d

Explanation:

To simplify an expression, we need to gather the like terms.

Like terms are the ones having the same variable raised to the same power

In the given expression:

6c² + 2.5d - d + 2c² - 3d

We have terms having c² and terms having d.

Therefore, we would gather them as follows:

6c² + 2.5d - d + 2c² - 3d

(6+2)c² + (2.5-1-3)d

8c² - 1.5d ......................> This is the simplest form

Hope this helps :)

for this you have to combine like terms, so the answer is:
8c^2-1.5d

Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a
Frisbee. Approximately how many feet from the base of the tree is the
Frisbee?

Answers

$\alpha = 60^o , \ b= 50 \ feet \n \n tan\alpha =(b)/(a)\n \ntan60^o = (b)/(50)\n \n√(3)=(b)/(50)\ \ / \cdot 50\n \nb=50√(3) \approx 50\cdot 1.73 = 86.5 \ feet \n \nAnswer : \ Frisbee \ is \ about \ 50 \ feet \ from \ the\ base \ of \ the \ tree$