The value of x and y are 9 and 6. Then the measure of the angles ∠A, ∠B, ∠C, and ∠D will be 54°, 36°, 126°, and 144°.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
We know the sum of the opposite angle of the cyclic quadrilateral is 180°.
Then we have
14x + 9y = 180 ...1
4x + 24y = 180 ...2
By solving the equations 1 and 2, we have
x = 9 and y = 6
Then the measure of the angle will be
∠A = 9y = 9 × 6 = 54°
∠B = 4x = 4 × 9 = 36°
∠C = 14x = 14 × 9 = 126°
∠D = 24y = 24 × 6 = 144°
More about the cyclic quadrilateral link is given below.
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The value of x is 81 . double x = 5 4 * 3 / 2 .
What is a linear equation?
- An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term.
- The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
x = 54 * 3/2
x = 27 * 3
x = 81
Learn more about linear equation
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Point slope form = y - b= m ( x - a )
where y and x stay the same
m is the slope
and (a, b) (any coordinate on the graph)
based on the point (5, -7)
Y - (-7) = -3 (x - 5)
however, the - cancels out the negative 7 making I positive
Y + 7 = -3(x - 5)
Answer:
Step-by-step explanation:
let’s say each side length is called a, b, and c
to find out if a side length is a solution you have to know that
a < b + c
b < a + c
c < a + b
if all of these are true then the given lengths can be the sides of a triangle
ex:
a = 3, b = 4, c = 5
3 < 4+5
3 < 9
this is true
4 < 3+5
4 < 8
this is true
5 < 3+4
5 < 7
this is true
so these side lengths can make a triangle
however, if one of these inequalities weren’t true (ex: 9 < 4) you wouldn’t be able to make a triangle with the given side lengths
The answer is in the image
hope this helps
