Answer:
The slope of the red line is -1/2
Step-by-step explanation:
Parallel lines always have the same slope
This is just a porportion. So if 250 meters is 1 meter than: 250/1
And it wants to know the height. So we have the first number but not the second. So we'll use x: 212/x
Set them equal to each other 250/1=212/x
Cross multiply: 212=250x
Divide to find x: 212/250=x
x=212/250
x=0.848
So the height of the model, to the nearest 10th would be 0.8 meters.
Answer:
It touches the x-axis once, but does not intersect it
Step-by-step explanation:
I'm assuming it's supposed to be y = x² + 10x + 25. This equation does not intersect the x-axis, but it does touch the x-axis.
Solve the equation for x...
0 = x² + 10x + 25
factor...
0 = (x + 5)(x + 5)
The solution repeats, this means that the function touches the x-axis and then bounces off, but doesn't intersect it. Intersect meant to cross the line, here it just touches it.
See the attached photo to see the graph...
Answer:
x = 5°
Step-by-step explanation:
We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:
7x + 4 + 61 = 20x
7x + 65 = 20x
13x = 65
x = 5°
Answer:
220.645
Step-by-step explanation:
A trick with triangles, if two angles are given you actually know the third, because all three angles of any triangle add up to 180 degrees. So the third, if you know two, is 180 minus the first angle and the second angle. In this case 180-55-62 = 63 degrees
Since this problem involves two sides and you know all the angles you can use the law of sines. The law of sines is:
You can use it with the sine on the top or bottom. It doesn't matter in this case. Also, capital letters are the angle measures and lower case letters are the side measures. Also, important to note we only start knowing one side and angle pair, B. b=240 and B=63 as shown above. So keep that in mind for what to do.
We want to findside AB, or if we want it to correspond with an angle, that is side C, hopefully you see that. It doesn't matter how you write it, unless your teacher wants a certain way, I find it easier labeling it with one letter when possible. Sometimes it is not possible.
So using the law of sines we know
pluging in we get
multiply both sides of the equation by Sin(55) and you'll get your answer
Again, let me know if there's any confusion.