Really simple triangle question! please help!
1 answer:
Answer:
see explanation
Step-by-step explanation:
Nicole has the correct equation
To find ∠ F use the Sine rule, that is
The ratio of the sine of an angle to the side opposite is equal to the ratio of the sine of another angle to the side opposite.
Matthew and Leah have mixed up the sine of an angle with the incorrect opposite side.
Following on with Nicole's solution
=
( cross- multiply )
27 × sinF = 19 × sin100° ( divide both sides by 27 )
sinF = ≈ 0.6930, thus
F = (0.6930 ) ≈ 43.9° ( to 1 dec. place )
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Answer:
y = x + 1
Step-by-step explanation:
1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula .
and
represent the x and y values of one point, and
and
represent the x and y values of another point.
So, use the points given to answer the question. Substitute 4 for , 5 for
, 8 for
, and 9 for
then solve:
Therefore, the slope is 1.
2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.
The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.