What is 11 3/8 - 7 1/2?

Mathematics

1 answer:

mote1985 [20]2 years ago

7 0

Answer:

3 7/8

Step-by-step explanation:

11 3/8- 7 1/2

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The measures of two supplementary angles are (3x + 9)° and (2x + 2)°. What is the measure of the smaller angle? A. 16.6° B. 69.6

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

Supplementary angles sum to 180°, hence

3x + 9 + 2x + 2 = 180, that is

5x + 11 = 180 ( subtract 11 from both sides )

5x = 169 ( divide both sides by 5 )

x = 33.8

Hence the smaller angle has a measure of

2x + 2 = (2 × 33.8) + 2 = 67.6 + 2 = 69.6° → B

3 0

2 years ago

insens350 [35]

To start, the equation has to be converted to slope-intercept form, or $y=mx+b$ . Start by subtracting x from both sides; $x-x+2y=4$ , $2y=4-x$ . Switch 4 and -x around to conform to the formula; $2y=-x+4$ . Then divide by 2 to isolate y; $y=-\frac{1}{2}x+2$ . This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is $-\frac{1}{4}$ , the opposite reciprocal of $-\frac{1}{5}$ is 5) the opposite reciprocal of $-\frac{1}{2}$ is 2. So the equation of the line is $y=2x$ , and the answer is A.