Answer:
x=37°
y=6
Step-by-step explanation:
(ASSUMING BD is a perpendicular bisector of AC, otherwise answers maybe be wrong)
Consider the triangle ABC:
AB is the same length as BC (marked), meaning ABC is an isosceles triangle.
Since ABC is isosceles, ∠BAC=∠BCA=53
All angles in a triangle add up to 180:
180=∠ABC + ∠BAC + ∠BCA
180= ∠ABC + 53 +53
∠ABC = 180 - 106
∠ABC = 74
Assuming BD bisects ∠ABC perfectly, x is half of ∠ABC.
x=74/2=37
If BD bisects AC perfectly, AD=DC=y=6
Answer:
1428 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is
, where V represent volume, l is the length, w is the width, and h is the height.
You are given that the length is 12 inches, the width is 7 inches, and the height is 17 inches.
Solve.
V = 12 * 7 * 17
V= 1428 in³
Step-by-step explanation:
As we can see it a right angled triangle
so <y =90°
Now
3x + 11° + 25° + 90° = 180°{being sum of angles of triangle}
3x + 126° = 180°
3x = 54°
X = 18°
Rocco would have to run diagonally 27 times
Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and
is the angle between a and b .
In equation 1 , the maximum and minimum values of
are 1 and -1.
so the value of c lies in between
⇒
and
= 
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9