Answer:
Both 70 degrees
Step-by-step explanation:
The base angles of an isosceles triangle are congruent.
The other 2 angles are each (180 - 40) / 2
= 70 degrees
Answer:
45 and 5.
Step-by-step explanation:
Answer:
x=8
y = 3
Step-by-step explanation:
x-y=5 and y=11-x
Substitute the second equation into the first
x - (11-x) = 5
Distribute the minus sign
x -11+x = 5
Combine like terms
2x-11 =5
Add 11 to each side
2x-11+11=5+11
2x=16
Divide by 2
2x/2 = 16/2
x=8
Now find y
y=11-x
y=11-8
y=3
Answer:
2. x - 4y = 20
Step-by-step explanation:
1. Reason 2: Multiplying -2 with the bracket term in the left-hand side,
This is the Distributive property of multiplication.
Reason 3: Addition of 4x with both sides.
Reason 4: Subtracting 14 from both sides.
Reason 5: Dividing both sides by -2. (Answer)
2.
The equations of straight lines 4x + y = 3 and x - 4y = c ......... (1) are always perpendicular to each other for any constant value of c.
{Since, the product of slopes of two perpendicular straight lines is -1}
Now, this equation (1) passes through the point (-4,-6) and it will satisfy the equation.
Hence, - 4 - 4(- 6) = c, ⇒ c = 20
Therefore, x - 4y = 20 is the equation of the perpendicular straight line. (Answer)