Answer:
I believe it is 27
Step-by-step explanation:
Answer: x = 27
Step-by-step explanation:
To solve this, first insert 4 for y:
3x - 4 * 4 = 65
Next, multiply the numbers:
3x - 4 * 4 = 65
3x - 16 = 65
Next, move the constant to the right and change its sign:
3x - 16 = 65
3x = 65 + 15
Next, add the numbers:
3x = 65 + 16
3x = 81
Finally, divide both sides of the equation by 3:
3x = 81
3x ÷ 3 = 81 ÷ 3
(Any expression divided by itself equals 1)
3x ÷ 3 = 81 ÷ 3
x = 81 ÷ 3
x = 81 ÷ 3
x = 27
Answer:
CD = 10
AD = 22
EC = 13
AC = 26
∠CAD = 23°
∠BAC = 47°
∠ADC =110°
Step-by-step explanation:
A parallelogram is a quadrilateral with two sets of opposite parallel lines.
Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.
Now lets find the values required,
CD = AB (Opposite sides are equal in length)
But, AB= 10 (given) therefore CD = 10.
AD = BC (Opposite sides are equal in length)
But, BC= 22 (given) therefore AD = 22.
EC = AE (Diagonals bisect each other)
But, AE= 13 (given) therefore EC = 13
AC = AE + EC
=
AC =
∠CAD = ∠BCA (Alternate interior angles are equal)
But, ∠BCA = 23° therefore, ∠CAD = 23°
∠BAC = ∠ACD (Alternate interior angles are equal)
But, ∠ACD = 47° therefore, ∠BAC = 47°
∠ADC + ∠BCD = 180° (Consecutive interior angles)
But, ∠BCD = 23°+47°=70°
∠ADC = 180°- ∠BCD
=180°-70°
∠ADC =110°