Answer: x = 0
Step-by-step explanation: To solve for <em>x</em> in this equation, our first step is to simplify the left side by distributing the 10 through both terms inside the parentheses.
When we do that, we get 10 times x which is 10x
and 10 times -2 which is -20.
So we have 10x - 20 = -20.
Adding 20 to both sides, we get 10x = 0.
Divide both sides by 10 and <em>x = 0</em>.
Answer:
∠1 is 90° because it is a right angle
To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;
x + 90 + 30 = 180
x + 120 = 180
-120 -120
x = 60, ∠2 = 60°
Angle 5 is vertical to angle 1 which equals 90 degrees, and <u>vertical angles are congruent</u> meaning that they measure the same degrees so therefore ∠5 = 90°
Angles 4 and 40° are <u>vertical</u> to angle 2 which measures 60 degrees;
40 + x(where x equals angle 4) = 60
-40 -40
x = 20, ∠4 = 20°
Specified earlier, angles <u>40° and 4 are equal to 60°</u>, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.
So we set up the equation;
40 + 20(angle four) + x = 90
60 + x = 90
-60 -60
x = 30, ∠3 = 30°
Answer:
12n+5
Step-by-step explanation:
The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17