Answer:
-5 ≤ y ≤ 5
Step-by-step explanation:
maximum y value is 5
minimum y value is -5
-5 ≤ y ≤ 5
Answer:
x = 10
Step-by-step explanation:
Solve for x:
-8 (8 - x) = (4 (x + 10))/5
Multiply both sides by 5:
-8×5 (8 - x) = (5×4 (x + 10))/5
(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):
-8×5 (8 - x) = 4 (x + 10)
5 (-8) = -40:
-40 (8 - x) = 4 (x + 10)
Expand out terms of the left hand side:
40 x - 320 = 4 (x + 10)
Expand out terms of the right hand side:
40 x - 320 = 4 x + 40
Subtract 4 x from both sides:
(40 x - 4 x) - 320 = (4 x - 4 x) + 40
40 x - 4 x = 36 x:
36 x - 320 = (4 x - 4 x) + 40
4 x - 4 x = 0:
36 x - 320 = 40
Add 320 to both sides:
36 x + (320 - 320) = 320 + 40
320 - 320 = 0:
36 x = 40 + 320
40 + 320 = 360:
36 x = 360
Divide both sides of 36 x = 360 by 36:
(36 x)/36 = 360/36
36/36 = 1:
x = 360/36
The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:
Answer: x = 10
Answer:
80
Step-by-step explanation:
It's supplementary to angle DAC.
Answer:
Therefore the value of 
Step-by-step explanation:
Given:
m∠ A = 56°
m∠ B = 75°
m∠ ACD = x°
To Find:
x = ?
Solution:
In Δ ABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here,
The opposite interior angles are angle A and angle B.
An exterior angle of a triangle is angle ACD which is x°
∴ 
...Exterior angle property of Δ
Substituting the values we get
Therefore the value of
√2 - 1 (√2 - 1)(√2 - 1)
--------- = ---------------------
√2 + 1 (√2 + 1)(√2 - 1)
2 + 1 - 2√2
= ---------------
2 - 1
= 3 - 2√2 Answer
