Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
Answer:
44 degrees
Step-by-step explanation:
x
Let the supplement/compliment by
y
x+
y=90
Complimentary angles add up to 90 degrees.
x+3
y=180
Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees
Answer:
24
Step-by-step explanation:
Area of a triangle
A = 1/2 bh
b=12
h=4
A= 1/2 * 12 * 4
A = 24
Answer:
Step-by-step explanation:
One is given the following equation;
The problem asks one to find the roots of the equation. The roots of a quadratic equation are the (x-coordinate) of the points where the graph of the equation intersects the x-axis. In essence, the zeros of the equation, these values can be found using the quadratic formula. In order to do this, one has to ensure that one side of the equation is solved for (0) and in standard form. This can be done with inverse operations;
This equation is now in standard form. The standard form of a quadratic equation complies with the following format;
The quadratic formula uses the coefficients of the quadratic equation to find the zeros this equation is as follows,
Substitute the coefficients of the given equation in and solve for the roots;
Simplify,
Therefore, the following statement can be made;
GCF is the Greatest Common Factor. It would be the largest number that can divide evenly into all the numbers you need to find the GCF in.
exapmple GCF for 12 and 16
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
the largest common number is 4, so 4 is the GCF of 12 & 16
LCM = Least Common Multiple is the smallest number ( other than zero) that is a multiple of both
LCM of 3 and 5
3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20
the first common number is 15, so this is the LCM of 3 & 5