The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.
<h3>What is parallelogram?</h3>
In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
As we know in the parallelogram, the diagonals bisect each other.
Then,
432 = 3x²
x² = 144
x = √144
x = 12
In the parallelogram, the adjacent opposite angles are the same.
∠C+∠B = 240°
= 360 - 240
∠A + ∠D = 120°
∠A = ∠D = 120°/2 = 60
∠D/2 = 60/2 = 3y + 60
3y + 60 = 30
3y = -30
y = -10
From the definition of the parallelogram, the provided figure is a parallelogram.
Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.
Learn more about the parallelogram here:
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When you have f(3), that means X is equal to 3.
The problem states if x <-3 then f(x) would be -2.
If x is between -1 and -3, then f(x) would be 4x.
If x is greater than -1, f(x) would be x^2.
3 is greater then -1, so f(3) would be x^2, now replace x with 3 to get 3^2, which equals 9.
f(3) = 9
Answer:
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
<u>Algebra II</u>
Polynomial Division
- Long Division
- Synthetic Division
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em />
<em />
<em />
<u>Step 2: Long Division</u>
<em>See attachment.</em>
- Multiply quotient <em>a</em> and divisor, then subtract from dividend:
- Multiply quotient <em>b</em> and divisor, then subtract from new dividend:
- Multiply quotient <em>c</em> and divisor, then subtract from new dividend:
- Write remainder:
<em>Please excuse the bad handwriting.</em>
Answer:
Step-by-step explanation:
Let "Hannah" = h, and her sister = s
h = 2s
h + s ≤ 18
Plug in 2s for h in the second equation.
(2s) + s ≤ 18
Simplify
2s + s ≤ 18
3s ≤ 18
Isolate the variable (s). Divide 3 from both sides
(3s)/3 ≤ (18)/3
s ≤ 18/3
s ≤ 6
2) The oldest Hannah's sister can be is <em>6 years</em>
<em>~</em>
