Answer: Check out the filled out chart below.
Row 1: 1/4, 1/4, -4
Row 2: -2, -2, 1/2
Row 3: 3, 3, -1/3
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Explanation:
Parallel lines have equal slopes. So if the original line has slope 1/4, then any parallel line will also have slope 1/4. The only thing different is the y intercept.
Perpendicular slopes multiply to -1 assuming neither line is vertical. For row 1, the perpendicular slope is -4 which multiplies with the original slope 1/4 to get -1.
Put another way, the perpendicular slope is the negative reciprocal of the original slope. For row 2, the perpendicular slope is 1/2 because we flip the fraction and the sign for the original slope -2 = -2/1
Answer:
m = 5.33
Step-by-step explanation:
First we need to calculate angle N.
Sum of angles in a triangle is 180°
∠L + ∠M + ∠N = 180°
108°+25°+∠N = 180°
∠N = 180°-(108°+25°}
∠N = 180°-133°
∠N = 47°
Given side l = 12, to get m, we will use the sine rule.
l/sinL = m/sinM = n/sinN
12/sin108° = m/sin25°
m × sin108°= 12sin25°
m = 12sin25/sin108°
m = 5.071/0.951
m = 5.33
Answer:
60
Step-by-step explanation:
We are given the triangles are congruent, that means the angles are the same measurement
<A = <X
<B = <Y
<C = <Z
We know A = 50 so X = 50
We know <Y = 70 so < B = 70
The three angles of a triangle add to 180
<A + <B + <C = 180
Substituting into the equation
50 + 70 + <C = 180
Combining like terms
120 + <C =180
Subtracting 120 from each side
120-120 +<C =180-120
<C = 60
Radii and chord form an equilateral triangle. The angle of the larger segment is
.
The length of the larger segment is
