Answer:
1. Interior angles:- B and F
C and G
2. Corresponding angles:- E and G
F and H
A and C
B and D
3. Equal
4. Angle A = 105
Angle C = 105
Angle D = 75
Angle E = 75
Angle F = 105
Angle G = 75
Angle H = 105
5. Angle D
6. Angle B = 65
Step-by-step explanation:
1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
∴ Pair of interior angles are:- 1) B and F
2) C and G
2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.
∴ Pair of corresponding angles:- 1) A and C
2) B and D
3) E and G
4) F and H
3. Angle D and E are equal as they form alternate exterior angles.
4. Angle B = 75 degrees
Angle A = (180-B) = 105 degrees
Angle C = (180-B) = 105 degrees(interior angles)
Angle D = B = 75 degrees(corresponding angles)
Angle E = B = 75 degrees(congruent angles)
Angle F = (180-B) = 105 degrees
Angle G = B = 75 degrees(alternate interior angles)
Angle A = (180-B) = 105 degrees
5. Angle D
6. Angle F = 115 degrees
Angle B = (180-115) = 65 degrees
Answer:
5x - y = 10x + 3y = 4
5x - y = 4..... 1
10x + 3y = 4.....2
multiply by -2 in eq 1 in both sides
-10x + 2y = -8
10x +3y = 4
eliminate one variable by adding the equations
5y = -4
y = - 4/5
sub the value of y in..1
5x - y = 4
5x + 4/5 = 4
5x = 16/5
divide by 5 on both sides
x = 16/25
(x ; y)
(16/25 ; -4/5)
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0
k > 500/200
k > 2.5
b) To make 14000 profit
14000 = 200k - 500
k = 72.5 or 73 knives must be sold
Answer:
D
Step-by-step explanation:
the rest of them have 2 Y for 1 X
Answer:
294 square units
Step-by-step explanation:
35^2-21^2=a^2
a^2=784
square root 784=28
21*28/2=294
Answer=294
