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FrozenT [24]
3 years ago
13

What is the value of x in the figure shown below?

Mathematics
1 answer:
Julli [10]3 years ago
6 0

Answer:

110°

Step-by-step explanation:

Parallelograms have angles equal to the angle opposite to it, in this case the 110°

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Please help this makes no sense
valina [46]

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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
2 years ago
A hardware store received a shipment of bolts. There were 30 cases in the shipment, containing a total of 8400 bolts. Each case
Valentin [98]

Answer:

162

Step-by-step explanation:

im just trying to get points idk what im saying.

6 0
3 years ago
Bagaimana cara membuktikan bahwa persamaan garis tegak lurus itu benar
Tems11 [23]
Ketika dua garis tegak lurus, kemiringan satu adalah timbal balik negatif dari yang lain.Jika kemiringan satu baris adalah m, kemiringan yang lain adalahCoba ini Drag poin C atau D. Catatan lereng ketika garis tegak lurus satu sama lain.
Ketika dua garis tegak lurus satu sama lain (di sudut kanan atau 90 °), lereng mereka memiliki hubungan khusus satu sama lain. Jika kemiringan satu baris adalah m maka kemiringan garis lainnya adalah timbal balik negatif m. 
7 0
3 years ago
If mZDEC = (12x - 3), mZBCE =
kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

   x = 11

m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57°  exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0
3 years ago
17 points if you know. Help please
vovangra [49]

Answer:

Step-by-step explanation:

Angles 153 and QRP are straight angles, and thus Angle QRP is

180 - 153, or 27 degrees.

The interior angles of the triangle must sum up to 180 degrees:

27 + (3y + 5) + (2y - 7) = 180.

combining like terms, we get:

5y - 25 = 180, or 5y = 155, or y = 31

Then Angle Q is 3(31) + 5, or 93

Angle P is 2(31) - 7, or 55, and

Angle QRP is 27 degrees (found earlier).

6 0
3 years ago
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