Answer:
B
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FES is an exterior angle of the triangle , then
57° + ∠ F = 142° ( subtract 57° from both sides )
∠ F = 85°
Answer:
The answer is 85
Step-by-step explanation:
The equation used to find the sum of an arithmetic series is: (n/2) * (a1 + an).
n in this case is 10 (the number of numbers in the series)
an is 22 (plug in 10 to the expression 3n-8)
and a1 is -5 (plug in 1 to the expression 3n-8)
so when you plug everything in to the final equation, you get
(10/2) * (-5 + 22)
5 * 17
85
Answer:
Q = 146
Step-by-step explanation:
We know that angle S and T are equal because the sides are equal
The measure of the exterior angle is equal to the sum of the opposite interior angles in a triangle
Q = S+T
Q = S+S
Q = 2S
Q =2* 73
Q = 146
Answer:
and 
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.
Where d = daises and r = roses
Convert the above expression to an equation
Make k the subject
When d = 5 and r = 2;
So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:
----------- (1)
Make r the subject in (1)
------------------------(2)
Hence, the relationships between d and r are:
and
