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Answer:
b = (d-c)/a
Step-by-step explanation:
ab+c=d
Subtract c from each side
ab+c-c=d-c
ab = d-c
Divide by a
ab/a = (d-c)/a
b = (d-c)/a
Answer:
Q1. Regular (A)
Q2. 105° (C)
Q3. x=45°
Step-by-step explanation:
Q1. A regular polygon is a polygon with all sides and angles equal.
Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore, 360°-255°=105°
Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.
<u><em>Note</em></u>: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).
Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.
Therefore the sum of interior angles is (5-2)180°=540°
solving the equation you have;
360°+4x=540°
4x=540°-360°
4x=180°
x=180°/4
x=45°
therefore x=45°
Answer:
m∠A = 91°
Step-by-step explanation:
∠A ≅ ∠B (Vertical Angle Theorem). This means that the two angles will have the same measurements.
Note that a straight line = 180° (Definition of a Straight Line).
Find the value of m∠B.
180 - 47 - 42 = m∠B
m∠B = 180 - (89)
m∠B = 91°
Remember that ∠B & ∠A are vertical angles, so they will have the same measurement.
m∠A = 91°
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The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
brainly.com/question/1962219
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