I know the answer to the question. It’s just whenever I answer the reason for my answer it gets no marks. Can someone explain how I’m suppose to answer this question? This is a 3 mark question.

x = 60°

Step-by-step explanation:

The triangle has 3 congruent sides and is equilateral with 3 congruent angles each of 60°

x and the base angle of the triangle are alternate angles and are congruent, so

x = 60°

x = 60°

Step-by-step explanation:

Know that the opposite interior angles of parallel lines have equal measurements. In other words, angle x is equal to the bottom-left angle of the triangle. And note that the triangle has 3 sides of the same length, so all 3 angles have the same measurement (i.e. this is a regular triangle). Since the measure of a single interior angle of a regular triangle is 60°, x is also 60°.

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.