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svlad2 [7]
2 years ago
11

Please help I don't under stand how to do this ​

Mathematics
1 answer:
stealth61 [152]2 years ago
6 0
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.

In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.

Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8

Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees

You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38

Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
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Please help this makes no sense
valina [46]

9514 1404 393

Answer:

  4)  (x, y) = (1, 3)

  5)  length = 11 meters, width = 7 meters

Step-by-step explanation:

4) "Solve by graphing" means graph the two equations and find the coordinates of the point where they intersect.

For graphing these equations, it works well to start at the y-intercept and use the slope to find another point on the line.

These equations are in "slope-intercept form":

  y = mx + b . . . . . . . . . where <em>m</em> is the slope and <em>b</em> is the y-intercept

In the first equation, the slope is 3 and the y-intercept is 0. (We rarely show +0 in an expression or equation.) This means the point where y=0 on the y-axis is one point on the line.

The slope is the ratio of "rise" to "run". A slope of 3 means the line will go up 3 grid squares for each 1 grid square to the right. That is, another point on the line is the point (1, 3).

To graph the first equation, draw a line through the two points (0, 0) and (1, 3).

__

The second equation has a slope of 4 and a y-intercept of -1. This means the  point y=-1 on the y-axis is a point on the line. The slope of 4 means it goes up 4 squares for 1 square to the right, so (x, y) = (1, -1+4) = (1, 3) will be another point on the graph of the second equation. To graph it, draw a line through the two points (0, -1) and (1, 3).

__

If you're paying attention, you have figured out that the point (1, 3) is on both lines. That is the only point on both lines, so it is the solution to the system of equations. The solution is (x, y) = (1, 3). The graph is shown in the attachment.

_____

5) I find it convenient to solve this sort of problem using a single variable. Let w represent the width of the rectangle in meters. Then the length is (w+4), a length that is 4 meters longer than the width.

The perimeter is twice the sum of length and width. An equation expressing that is ...

  P = 2(L +W)

  36 = 2((w+4) +w) . . . . . . . . substitute known values into the formula

Simplifying the equation gives ...

  36 = 2(2w +4)

  36 = 4w +8

Subtracting 8 from both sides, we have ...

  28 = 4w

Then we can divide both sides by 4 to find w.

  7 = w . . . . . . the width

  (w+4) = (7+4) = 11 . . . . . the length

The length and width of the rectangle are 11 meters and 7 meters, respectively.

3 0
3 years ago
I think of a number multiply it by 3 and add 6 the result is 21 what is the number
Anton [14]

Answer:

5

Step-by-step explanation:

5x3=15

15+6=21

Hope this helped pls give brainliest

4 0
3 years ago
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y = 3, x = 4
Ad libitum [116K]
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
4 0
3 years ago
PLEASE ANSWER QUICKLY
Talja [164]

Answer:

1st option

Step-by-step explanation:

to find f(g(x)) substitute x = g(x) into f(x) , that is

f(g(x))

= f(4x - 5)

= 2(4x - 5) + 1 ← distribute parenthesis

= 8x - 10 + 1

= 8x - 9

5 0
1 year ago
Aaron ate 5/6 of his sandwich at lunch. Colin ate 2/3 of his sandwich. did the two boys eat the same amount? Explain
Nady [450]
No. Aaron ate more because 5/6 is a larger fraction than 2/3.
7 0
3 years ago
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