Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in <em>a</em> to find last angle
2(35) = 70°
The missing number is 6 because half of 18 is 9 and half of 12 is 6
Answer:
Option 3 :
x → 7+, y → –[infinity]
Step-by-step explanation:
f(x) = (-2x² + 14)/(x² - 49)
x² - 49 = (x + 7)(x - 7)
Hence f(x) goes to infinity at x = - 7 or 7
x < - 7 = (-ve)(-ve) = + ve
=> x → –7–
Here, x² - 49 is + ve
-7 < x < 7 = (+ve)(-ve) = - ve
=> x → –7+ or x → 7– .
here, x² - 49 is - ve
x > 7 = (+ve)(+ve) = + ve
=> x → 7+
Here, x² - 49 is + ve
So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]
As,
-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84
x → –7– = (-ve)/(+ve)
=> y → -[infinity].
x → –7+ or x → 7– = (-ve)/(-ve)
=> y → [infinity]
x → 7+ = (-ve)/(+ve)
=> y → -[infinity].
x → 7+, y → –[infinity]. is the correct option
Let's assume x= 10.03636........ (1)
Multiply each sides by 100. So,
100x = 1003.63636.......... (2)
Next step is to subtract the equation (1) and (2)
100x - x= 1003.63636- 10.03636
99x= 993.6
99x*10 = 993.6 (By multiplying each sides by 10 to get rid of decimal)
990x = 9936
990x/990 = 9936/990 ( Divide each sides by 990)
x= ( Divide both top and bottom to reduce)
x =
So, 10.03636...... can be represent as 552/55.