Answer:
D. ∠B = ∠B' = 74° and ∠C = ∠C' = 66°
Step-by-step explanation:
Given,
We know,sum of all 3 angles of a triangle is 
°
Doing so ,
Simplifying all like terms,
Dividing both side by 12
Now we plug this in each angles and find their exact values.
°
°
°
Now substituting the in angles of dilated triangle.
°
°
°
We see that all the corresponding angles are equal and as far as the options are concerned only option (D) matches.
x intercept (-1, 0)
y intercept (0, -3)
The 4th option
Coordinates are always written like (x,y) And the x-intercept always has a y coordinate of 0, while the y-intercept always has a x coordinate of 0.
Let r represent the radius of the smaller circle and R the radius of the larger
circle.
Apply ratios: the radius of the smaller circle to the radius of the larger circle.
r: R = 3 : 7.
I complete rotation = 360 degrees.
1st:
For one complete rotation of the smaller circle, the larger circle is rotated through (3/7)*(360) = 154.3 degrees
2nd:For one complete rotation of the larger circle, the larger circle is rotated through (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios: The number of rotations = R/r = 7/3 = 2.3 rotations
Hope this helped☺☺
Answer:
7 / 36
Step-by-step explanation:
Using the sample space attached,
Required outcome = multiple of 5 from the sun of two rolled dice = 7
Total possible outcomes =(number of faces)² = 6² = 36
Therefore, the probability of obtaining a sum which is a multiple of 5 is :
P(sum which is a multiple of 5) :
Required outcome / Total possible outcomes
= 7 / 36
