<h3>
Answer: 55</h3>
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The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
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Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
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Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
Answer:
x=1.-7
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Use distributive property: a(b +c) =(a*b) + (a*c)
3(x + 6) = 27
3*x + 3*6 = 27
3x + 18 = 27 {Subtract 18 from both sides}
3x + 18 -18 = 27 - 18
3x = 9 {Divide both sides by 3}
3x/3 = 9/3
x = 3
ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,
Which can be rewritten as
The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;
The quadratic formula is given by;
We now substitute all the values in to the formula;
We simplify to obtain;
We now split the plus or minus sign to obtain;
This implies that;
Or
This will evaluate to;
Hence, the positive solution rounded to the nearest hundredth is
Exterior angle is equal to sum of interior opposite angles hence,
req. angle = 80 + 62 = 142
