Answer:
D₁ = 68°
Step-by-step explanation:
If AB = BE then ΔABE is an isosceles triangle, therefore A₁ = E₁.
If A₁ = 28° then E₁ = 28°.
<u>Opposite sides</u> of a parallelogram are <u>parallel</u>.
Using the Alternate Interior Angles Theorem:
A₂ = E₁ = 28°
Therefore, A = A₁ + A₂ = 28° + 28° = 56°
<u>Opposite angles</u> in a parallelogram are <u>equal</u>.
Therefore, C = A = 56°.
<u>Opposite sides</u> of a parallelogram are <u>equal in length</u>, so AB = CD.
If AB = DE = CD then ΔCDE is an isosceles triangle.
Therefore, C = E₃ = 56°.
Interior angles of a triangle sum to 180°.
⇒ D₁ + C + E₃ = 180°
⇒ D₁ + 56° + 56° = 180°
⇒ D₁ + 112° = 180°
⇒ D₁ = 180° - 112°
⇒ D₁ = 68°
The area is = 2733.7
Formula<em> </em>is <em>A=π r^2</em>
Hope this helps
Answer:
17 days
Step-by-step explanation:
525-75.50= 449.50
449.50/25 is 17.98, but you can't have a decimal for a day so the answer is rounded down to 17 days
Answer:
Step-by-step explanation:
-3x + 3y = 6.......(1)
y= 4x + 5............(2)
Putting (2) in (1)
-3x + 3(4x + 5) = 6
-3x + 12x + 15 = 6
9x = 6 -15
9x = -9
x = -9/9
x = -1
Putting x in (2)
y= 4x + 5
y = 4(-1) + 5
y = -4 + 5
y = 1
Answer:
D
Step-by-step explanation:
First find the slope of the line. The two points I will use are (0, 3) and (4, 2).
(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)
