Answer: m∠CAD = 81°
Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
X= 10
This is because 180-95= 85 which would make 8x+5= 85
Subtract 5 from both sides and get 8x=80
Then, divide 8 from both sides and get x=10
Year 1: 7lbs x 3years= 21lbs
Year 2: 21lbs x 3years = 63lbs
(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14
Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0
For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0
Step 3: Use quadratic formula with a=1, b=-6, c=0
The answer is x=6 or x=0
Answer:
So the equation of the line that passes through (3, 1) and (0, 10) is y=-3x+10
Step-by-step explanation:
(3, 1) and (0, 10)
m=y²-y¹/x²-x¹
m=10-1/0-3
m=9/-3
m=-3
y=mx+b
y-y=m(x-x1)
y-1=-3(x-3)
y-1=-3x+9
+1 +1
y=-3x+10
