Answer:
∠ACB 107°
Step-by-step explanation:
1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.
2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°
3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.
4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°
the anwenser is 3.5 hope this helped :}
• Move x to the other side
7y=21-3x
• Divide by 7
y = (21-3x)/7
Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
Answer:
Step-by-step explanation:
In the argand plane for plotting points of complex numbers we take i coefficient as x and j coefficient as y and plot as we plot regular points on the graph.
v=3i+2j
Point is (3,2) A
w =2i+3j , Point is (2,3) B
v+w = 5i +5j Point is (5,5) C
2w = 4i+6j , point is (4,6)
v-w = i-j Point (1,-1)
Please find enclosed the above points plotted on the graph.
