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ch4aika [34]
2 years ago
12

Solve for X explain steps too pls

Mathematics
1 answer:
Bingel [31]2 years ago
6 0

Answer:

Value of x=30

Step-by-step explanation:

When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.

Hence

x+25=55\\\\x=30

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Can Someone Answer My Final Answers :) I’d appreciate it so much :)
DaniilM [7]
1. Remember that the perimeter is the sum of the lengths of the sides of a figure.To solve this, we are going to use the distance formula: d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}
where
(x_{1},y_{1}) are the coordinates of the first point
(x_{2},y_{2}) are the coordinates of the second point
Length of  WZ:
We know form our graph that the coordinates of our first point, W, are (1,0) and the coordinates of the second point, Z, are (4,2). Using the distance formula:
d_{WZ}= \sqrt{(4-1)^2+(2-0)^2}
d_{WZ}= \sqrt{(3)^2+(2)^2}
d_{WZ}= \sqrt{9+4}
d_{WZ}= \sqrt{13}

We know that all the sides of a rhombus have the same length, so 
d_{YZ}=  \sqrt{13}
d_{XY}= \sqrt{13}
d_{XW}= \sqrt{13}

Now, we just need to add the four sides to get the perimeter of our rhombus:
perimeter= \sqrt{13} + \sqrt{13} + \sqrt{13} + \sqrt{13}
perimeter=4 \sqrt{13}
We can conclude that the perimeter of our rhombus is 4 \sqrt{13} square units. 

2. To solve this, we are going to use the arc length formula: s=r \alpha
where
s is the length of the arc. 
r is the radius of the circle.
\alpha is the central angle in radians

We know form our problem that the length of arc PQ is \frac{8}{3}  \pi inches, so s=\frac{8}{3} \pi, and we can infer from our picture that r=15. Lest replace the values in our formula to find the central angle POQ:
s=r \alpha
\frac{8}{3} \pi=15 \alpha
\alpha =  \frac{\frac{8}{3} \pi}{15}
\alpha = \frac{8}{45} \pi

Since \alpha =POQ, We can conclude that the measure of the central angle POQ is \frac{8}{45} \pi

3. A cross section is the shape you get when you make a cut thought a 3 dimensional figure. A rectangular cross section is a cross section in the shape of a rectangle. To get a rectangular cross section of a particular 3 dimensional figure, you need to cut  in an specific way. For example, a rectangular pyramid cut by a plane parallel to its base, will always give us a rectangular cross section. 
We can conclude that the draw of our cross section is:

6 0
3 years ago
Read 2 more answers
Please help please help please help please help please help please help please help please help
german

Answer:

11x + y = 25

Step-by-step explanation:

Start with y = mx + b

Slope is -11, so m = -11

Point is (2, 3), so we plug that back in to get the intercept.

3 = -11 * 2 + b

3 = -22 + b

b = 25

y = -11x + 25

11x + y = 25 in standard form.

3 0
3 years ago
The area of a sheet of paper is approximately
ElenaW [278]

Answer:

1/2²m²

Step-by-step explanation:

7 0
3 years ago
HELP! What is the measure of angle ABE? WILL GIVE BRAINLIEST!
Mazyrski [523]

Answer:

Step-by-step explanation:

Bisection is the division of a line or an angle into two equal halves. It means that a bisector is a line that divides an angle or another line into two equal halves. Therefore,

Line BE divides angle ABC into two equal halves. This means that

Angle ABC/2 = angle ABE = angle EBC

Therefore,.

2x + 20 = 4x - 6

4x - 2x = 20 + 6

2x = 26

x = 26/2 = 13

Therefore,

Angle ABE = 2 × 13 + 20

= 46 degrees

8 0
3 years ago
ANSWER ASAP!! GIVING BRAINLIEST TO FIRST PERSON TO ANSWER BOTH QUESTIONS!!!
matrenka [14]

Answer:

The answer to your question is:

x = 1

Square's perimeter = 12

Rectangle perimeter = 12

The value of x is one and the perimeter of the square and the rectangle is the same.

Step-by-step explanation:

Data

Side of Square = 4x - 1

Length of rectangle = 2x + 1

Width = x + 2

Perimeters are the same

Process

Square perimeter = 4(4x - 1)

Rectangle's perimeter = 2(2x + 1) + 2(x+ 2)

Then

                 4(4x - 1) =  2(2x + 1) + 2(x+ 2)       Equation

                 16x - 4 = 4x + 2 + 2x + 4      

                 16x - 4 = 6x + 6

                 16x - 6x = 6 + 4

                 10x = 10

                 x = 10 / 10

                 x = 1      

Perimeter of the square = 4(4(1) - 1)

                                        = 4(3)

                                        = 12

Perimeter of the rectangle = 2(2(1) + 1) + 2((1)+ 2)

                                            = 2(3) + 2(3)

                                            = 6 + 6

                                            = 12

8 0
3 years ago
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