Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule

We need to rearrange the rule to solve for x, our missing angle

solving for our unknown angle:


Therefore angle YXZ is 70.52 degrees
Answer:
(4,-3)
Step-by-step explanation:
If the line passes through a point, the coordinates of the point will verify the equation of the line.
So, let's see if each of the coordinates verifies the equation 3x - 2y = 6
A. (4,-3) means x=4 and y = -3
so 3x - 2y becomes 3(4) - 2(-3) = 12 - -6 = 12 + 6 = 18
B. (4/3, -1) means x = 4/3 and y = -1
so 3x - 2y becomes 3(4/3) - 2(-1) = 4 - -2 = 4 + 2 = 6
C. (-2,-6) means x= -2 and y = -6
so 3x - 2y becomes 3(-2) - 2(-6) = -6 - -12 = -6 + 12 = 6
Verified that the line passes by the last two points but not the first one.
Answer:
Option A: 6 to 9 , 9/12 is the correct answer.
Step-by-step explanation:
The equivalent ratios simplify to same simple ratio.
In case of this question, we have to check which to the ratios doesn't simplify to 3:4 or 3/4
Option A:
6 to 9 , 9/12
6 to 9 can be written as:

9/12 simplifies to 3/4
But as one of the ratio doesn't simplify to 3:4 which means 6 to 9 is not equivalent to 3:4
Hence,
Option A: 6 to 9 , 9/12 is the correct answer.
Answer:
240
Step-by-step explanation:
20 x 12 = 240
so in that case
240/20 = 12
Find a number of right that is a multiple of 10.
There are such lines:
21 wrong and 70 right: this is 70/21 = 10/3 = 10:3
23 wrong and 20 right
The correct answer is the third choice.