Answer:

Step-by-step explanation:
Given Equation:

Solving the bracket on L.H.S

Taking the terms of 'x' to one side and the constants to other side

The value of 'x' after solving the equation is:

Answer:
y = 2x - 3
Step-by-step explanation:
The slope intercept form of a linear equation is y = mx + b
We know that m = 2
We can plug in x and y values to find b
17 = 2(10) +b
b = 17 - 20
b = -3
Therefore,
y = 2x - 3
Answer:
Improper: 2 42/9 proper: 6 6/9
Step-by-step explanation:
2 7/9 x 2/3
find the common denominator which is 9 so now we have,
2 7/9 x 2/9
find the numerator which is,
2 7/9 x 6/9
multiply
2 42/9
This fraction is improper so lets make it proper,
42 goes into 9 four times
so we have,
6/9 + 2 + 4
final answer,
6 6/9
The answer is 0.0009 because when you have a 5 behind the number you are trying to round, you round up
Answer:
Angle 3 is 49 degrees
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Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)