∠JKM = ∠M + ∠L (exterior angle is the sum of the opposite angles of the triangle)
∠JKM = 25° + 25°
∠JKM = 50°
Answer: ∠JKM = 50°
Answer:
2y + 7x = -5 (1)
5y – 7x = 12 (2)
Add (1) and (2)
=> 2y+5y +7x-7x = -5+12
<=>7y =7
<=>y=1
=> substitute y into (1) => 2 + 7x = -5
=> 7x =-7 => x =-1
Answer:
f(x)=x-6
Step-by-step explanation:
Given : Parent function :
To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Solution:
Parent function :
Shift the given function down by 6 units.
Rule : The graph f(x) shifts down by b units
So, f(x)→f(x)-b
So, Shift the given function down by 6 units.
So, f(x)→f(x)-6
f(x)=x
So, x→x-6
So, the new function is f(x)=x-6
Looking at the given triangle, we can see that it is a right angle triangle since one of the angles is 90 degrees.
For the circular water bowl to touch each side of the triangle, the center of the circular bowl would be determined by bisecting each of the angles at the vertices of the triangular table top. Therefore,
the correct option is the second one
Question 1:
By definition, euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges
Substituting values we have:
21 + V = 49 + 2
Clearing V we have:
V = 49 + 2-21
V = 30
Answer:
the missing number is:
A. 30
Question 2:
The volume of the cube is:
V1 = L1 ^ 3 = 512
The volume of the new cube is:
V2 = L2 ^ 3 = 3375
V2 = (kL1) ^ 3 = 3375
V2 = k ^ 3 (L1) ^ 3 = 3375
V2 = k ^ 3V1 = 3375
Therefore, the scale factor will be:
k ^ 3 = V1 / V2
k ^ 3 = 512/3375
k = (512/3375) ^ (1/3)
k = 8/15
Answer:
the scale factor of a cube with a volume of 512m ^ 3 to a cube with a volume of 3,375 m * 3 is:
A. 8:15