Answer:
The two triangles to the right with the angle measures 53 and 37.
Step-by-step explanation:
We first need to make an equation that we can use to find the value of X. since we know that the interior angles of a triangle add up to 180 degrees we can create this,
2x-21+x+90=`180
In order to solve this, we need to isolate the variable. We can do this by adding 21 to each side then subtracting 90 from each side,
3x=111
next, we divide 11 by 3 to get the value of x alone.
x=37
we can now plug ex in to find the measures of the angles. when we do that we see the angles measure 90,37, and 53 degrees. these values match with the angle measure of the two triangles on the right side of the picture.
It is a straight line of positive gradient that passes through the origin
The value of c, the constant of the function y = ax² + bx + c, exists -3.
<h3>What is an equation?</h3>
An equation exists as an expression that indicates the relationship between two or more numbers and variables.
Given that: y = ax² + bx + c
At point (4, 21)
21 = a(4²) + 4b + c .......(1)
At point (5, 32)
32 = a(5²) + 5b + c .........(2)
At points (6, 45)
45 = a(6²) + 6b + c .......(3)
Therefore, the value of a = 1, b = 2 and c = -3.
The value of c, the constant of the function y = ax² + bx + c, exists -3.
To learn more about equations refer to:
brainly.com/question/2972832
#SPJ9
X³-8=x-2: Original equation.
x³-x-6=0: Subtract x and add 2 to both sides.
(x-2)(x²+2x+3): Factor the equation
x-2=0; x²+2x+3=0: Separate the expressions into equations
x=2: Add 2 to both sides
x²+2x+3=0: Quadratic Formula
x= 2, <u>-2+√-8</u>,<u>-2-√-8</u>
<u /> 2 2
Equal to, I think. Hope this helps.... If not sorry.
