Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x





In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.
Answer:
-20/3 & -40/3
Step-by-step explanation:
Let’s say that the 1st number is X and the 2nd number is Y.
Given that x:y = 1:2 => x/y = 1/2 => 2x = y
and a-5/y+4 = 5/4 (The first number is decreased by 5 and the second number is increased by 4.)
=> 4(x - 5) = 5 (y + 4)
=> 4x - 20 = 5y + 20
=> 4x - 5y = 40
As, 2x = y , 4x = 2y
=> 2y - 5y = 40
=> -3y = 40
=> y = -40/3 ; x = y/2 = -20/3
This might be confusing but I hope this helps :)
3x + 6 = -1 - 3 + 4x
Combine like terms on the right side.
3x + 6 = -4 + 4x
Add 4 to both sides.
3x + 10 = 4x
Subtract 3x from both sides.
10 = x
The equation has one solution (10).
If Two Angles in a Triangle are Equal, Then Sides Corresponding to those Angles are also Equal
From the Figure, We can Notice that ∠C = ∠B
⇒ Length of AC = Length of AB
⇒ 2x - 24 = x - 2
⇒ x = 24 - 2
⇒ x = 22