Answer:
100 degrees
Step-by-step explanation:
Angle 1 + Angle 2 = 180 degrees (linear pair theorem)
Angle 2 = Angle 6 (verticle angles theorem)
Thus, we can substitute the given values of angle one and angle six into the following equation:
Angle 1 + Angle 6 = 180
4x - 20 + 5x - 25 = 180
9x - 45 = 180
9x = 225
x = 25 degrees
Angle 2 = Angle 6
5x - 25 = Angle 6, so 5x - 25 = Angle 2
5(25) - 25 = Angle 2
100 degrees = Angle 2
Answer:
y>1/2x+2
Step-by-step explanation:
Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
Answer:
(2, 5)
Step-by-step explanation:
The longest side of the triangle will be the side with the coordinate (1,4) and (3,6) due the value of the distance between them;
Midpoint = (x1+x2/2, y1+y2/2)
X = 1+3/2
X = 4/2
X = 2
Y = 4+6/2
Y = 10/2
Y = 5
Hence the required midpoint (X, Y) will be at (2, 5)
total volume of the glass is 
.
<u>Step-by-step explanation:</u>
Here we have , A glass is 1/4 full. Then 70cm3 of orange juice is poured in.
The glass is now 3/5 full. We need to find that What is the total volume of the glass . Let's find out :
Suppose that volume of glass is x ,so according to question we have the following equation
, Now, solve this to find value of x
⇒
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Therefore, total volume of the glass is .
