The graph is a function because when you use the vertical line test it does not hit more than one point at any given place on the line.
Hope this helped :)
Answer:
Using points ( 2 , - 4) and ( 0 , 2)
Slope = 2+4/0-2 = 6/-2 = - 3
Since the lines are parallel their slope will be the same
So the slope of the line parallel to the one in the picture is - 3
That's option A.
Hope this helps.
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
- The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
- The angles in the rhombus are 44 and 46 degrees, respectively
<h3>How to determine the values of x?</h3>
<u>Triangle 1</u>
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
<u>Triangle 2</u>
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
<u>Triangle 3</u>
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
<h3>How to calculate the angles of the rhombus?</h3>
The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
Read more about tangent ratio at:
brainly.com/question/13347349
Answer: 20−12/3=?16
16=16
True
Step-by-step explanation: hope this help:)
Answer:
Statement #1. JK is congruent to LK, JM is congruent to LM
Reason #1. Given
Statement #2. KM=KM
Reason #2. Reflexive property of equality
Statement #3. Triangle KMJ is congruent to triangle KML
Reason #3. Side, Side, Side triangle congruency theorem.
Statement #4. <J is congruent to <L
Reason #4. Corresponding angles of congruent triangles are congruent.
Step-by-step explanation: