Answer:
∠1 = 90°
∠2 = 66°
∠3 = 24°
∠4 = 24°
Step-by-step explanation:
Usually the diagonals of a rhombus bisect each other at right angles.
Thus; ∠1 = 90°
Since they bisect at right angles, then;
∠R1S = 90°
Now, sum of angles in a triangle is 180°
Thus;
66° + 90° + ∠4 = 180°
156 + ∠4 = 180
∠4 = 180 - 156
∠4 = 24°
Now, also in rhombus, diagonals bisect opposite angles.
Thus; ∠4 = ∠3
Thus, ∠3 = 24°
Similarly, the diagonal from R to T bisects both angles into 2 equal parts.
Thus; ∠2 = 66°
answer for this question is 2 is to 4 is to6 is to 7
Answer:
5x + 2y = 12
Step-by-step explanation:
Direction factor = (2, 1) - (0, 6) = (2, -5)
So, normal factor = (5, 2)
Line: 5x + 2y = k
(0, 6) -> L: 0 + 12 = 12 = k
L: 5x + 2y = 12
(5) Angle ADC is the sum of angles ADB and BDC.
(6) Yes, because lines AG and EC form two pairs of vertical angles, including ADC and EDG, as well as ADE and CDG.
(7) Angle HJK is clearly a right angle, and a right angle has measure 90°.
Answer:
a) 
b) 
Step-by-step explanation:
a) 
1. Distribute the second power (2) outside the first pair of parenthesis:
= 
2. Distribute the third power (3) outside the second pair of parenthesis:
= 
3. Combine like terms:
--------------------------------------------
b) 
1. Factor the number 6 (= 2 · 3):
2. Cancel the common factor (2):
3. Cancel out 
in the numerator an denominator:
hope this helps!
