Kimberly is considering buying her first home. The house she is interested in buying is priced at $159,000. Kimberly qualifies f
2 answers:
You might be interested in
Answer:
she turned 82 degrees.
Step-by-step explanation:
Suppose, the unknown angle is A
Now, we know that according to the sine law ,
the ratio of side of a triangle and the sine value of the angle opposite to that side is same . It says that,
if a triangle has 3 sides a,b and c and 3 angles A,B,and C and they are opposite to the sides respectively then,
a/SinA=b/sinB=c/SinC
check the image below in attachment.
From the diagram at attachment.
here , angle A is required.
given, angle C= 30
side b=89 m and c= 48 m
sin law says a/sinA=b/sinB=c/sinC
first we take , b/sinB=c/sinC
or, 89/sinB= 48/sin30
or, sinB=( 89×0.5)/48 =0.92
or, B=68
we know, in every triangle , the sum of 3 angles of a triangle is 180
then, A+B+C=180
or, A=180-B-C= 180 - ( B+C)
=180-(68+30)
or, A = 82
therefore , the required angle is 82 degree.
she turned 82 degrees.
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope =
Substitution
slope =
Simplification and result
slope =
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.