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serg [7]
3 years ago
7

Х 120 50 What is the value of x?

Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

60

Step-by-step explanation:

180-120= 60

a line is 180 degrees and x is congruent to the angle on the right of 120, meaning if you find the missing angle to that angle(the one next to 120) then you'd get the answer. Knowing the line it 180 and 120 is supplementary to x. x=60.

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5. What is an equation of the line in slope-intercept form?
777dan777 [17]

Answer:

y = (2/7)x -12

Step-by-step explanation:

y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..

<u>m</u>=(2/7) and <u>b</u> = -12

y =   <u>m</u>x  + <u>b</u>

y = (<u>2/7</u>)x <u>-12</u>

8 0
3 years ago
A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
Write the following sentence into an expression using x as your variable: Myrna and Tom collect stamps. Tom has four more than h
balandron [24]

Answer: f(x) = x/2 + 4.

where f(x) is the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Step-by-step explanation:

The statement is:

"Tom has four more than half the stamps that Myrna has"

For how is written, we can model the number of stamps that Tom has as a function f(x).

f(x) represents the number of stamps that Tom has, and x is the number of stamps that Myrna has.

Then:

"four more than a number" is written as:

N + 4 (where N is the number)

"Half the stamps that Myrna has" is written as:

x/2.

Then the whole statement can be modeled as:

f(x) = x/2 + 4.

notice that we have x/2, and f(x) must be a whole number, so Myrna must have an even number of stamps (in that case x/2 will be integer)

8 0
3 years ago
Math<br> My fatal weakness<br> Especially on Fridays
swat32

Answer:

1 is 28 as it is just asking the area (At least I think)

2 is 22 as it is perimeter

Step-by-step explanation:

4x7 is 28 (For one)

8 (4+4) + 14 (7+7) = 22

Have a great day!

4 0
3 years ago
The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: What value of K? 1) -3 2) -2 3)2 4)3
alexandr1967 [171]

Answer:

4) 3.

Step-by-step explanation:

According to the graph, f(x) has been shifted two units to the right and 3 units up. k is the number of units f(x) has been shifted vertically. So, the value of K is 4) 3.

Hope this helps!

8 0
3 years ago
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