10 x 30=300 because you 3 tens is 30 times 10 is 300. hope it helped.
Answer:
y=-1/2x+2
Step-by-step explanation:
First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.
Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2
Answer:
Speed of sound is 340 meter per second.
Step-by-step explanation:
Let the speed of sound = x meter per second.
It is given that,
The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.
So, we get,
x - 50%x = 170
i.e. x - 0.5x = 170
i.e. 0.5x = 170
i.e. x = 340 meter per second
Hence, the speed of sound is 340 meter per second.
Answers:
x = 7
The measure of angle D is 14 degrees
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Angle C and angle D are complementary, which means they add to 90 degrees.
(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
(12x+3x) + (-8-7) = 90
15x-15 = 90
15x-15+15 = 90+15
15x = 105
15x/15 = 105/15
x = 7
So you have the correct x value. Nice work.
Now use this x value to find the measure of angle D
angle D = 3*x - 7
angle D = 3*7 - 7
angle D = 21 - 7
angle D = 14 degrees
