Answer:
13. x = 7 ; Converse : Alternate interior angles are equal .
14. x=12; Converse used : Linear pair
15. x = 23; Converse: Corresponding angles are equal
Step-by-step explanation:
13.
Refer the attached figure
Given: q || r
(Alternate interior angles )
So, 15x+3=108
15x=108-3
15x=105
x=7
So, x = 7 ; Converse : Alternate interior angles are equal .
14.
Refer the attached figure
Given q||r
(Alternate interior angles
So,
Now
(Linear pair)
So,7x-8+11x-28=180
18x-36= 180
18x=216
x=12
So, x=12; Converse used : Linear pair
15.
Refer the attached figure
Given q||r
(corresponding angles)
90+2x=5x+21
90-21=5x-2x
69=3x
23=x
So, x = 23; Converse: Corresponding angles are equal
The figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only
<h3>How to determine the figures?</h3>
The cross-section of three-dimensional figures are as a result of slicing the figure along its axis.
- When the cube is sliced with its plane, it gives a triangle face
- When a cone is sliced vertically, it gives a triangle face
- One of the faces of a square pyramid is a triangle; so it has a triangle face
Hence, the figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only
Read more about cross section at:
brainly.com/question/3603397
#SPJ1
Because the 16 is inside the parentheses also.
I believe that it is 425 minutes because 17+(.11×425) is 63.75 and so is .15×425.
Answer:
3n+6
Step-by-step explanation:
"3 times the quantity n" = 3 * n = 3n
3n+6
