<h3>
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We know that, Two angles are said to be complementary, if the sum of their measures is 90°.
<u>According to the Question</u>,
⇒ ∠ABD + ∠DBC = 90°
⇒ (2x + 30)° + (3x + 20)° = 90°
⇒ 2x + 30° + 3x + 20° = 90°
⇒ 5x + 50° = 90°
⇒ 5x = 90° - 50°
⇒ 5x = 40°
⇒ x = 40°/5
⇒ x = 8
<u>So</u>, <u>t</u><u>he measure of each angle will be</u>,
⇒ ∠ABD = (2x + 30)°
= 2 × 8 + 30°
= 16 + 30°
= 46°
⇒ ∠DBC = (3x + 20)°
= 3 × 8 + 30°
= 24 + 30°
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= 54° ▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
Answer:
We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:
___
/ ___ \ Let's imagine a trapezoid looks like this. The two parallel lines would be the top and the bottom lines.
The 10 in. side would be either the top or bottom line. The other parallel line is twice as long, meaning it's 2 times longer. So you multiply 10 in x 2 = 20 in.
The given side length = 10 inches.
Height = half as long, meaning it's half of 10 in. = 5 in.
Formula of a trapezoid =
x height
Where a and b are bases. The top and bottom of the trapezoid are bases.
Area trapezoid =
x 5 =
x 5 = 15 x 5 = 75 in² <-- area means the unit is squared
Answer:
2 (real) solutions.
Step-by-step explanation:
A quadratic always has two solutions, whether they are real or complex.
Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).
In the case of
x^2+3x = 3, or
x² + 3x -3 = 0
we apply the quadratic formula to get
x = (-3 +/- sqrt(3^2+4(1)(3))/2
to give the two solutions
{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}
both of which are real.
"D.neither line symmetry nor rotational symmetry. "A line segment can have neither line symmetry nor rotational symmetry. a line segment is a line that has boundaries..