Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
Answer:
Part 1) ![HI=15\ units](https://tex.z-dn.net/?f=HI%3D15%5C%20units%20)
Part 2) ![](https://tex.z-dn.net/?f=%3CG%3D61.93%5C%C2%B0)
Part 3) ![< I=28.07\°](https://tex.z-dn.net/?f=%3C%20I%3D28.07%5C%C2%B0)
The answer is the option A
Step-by-step explanation:
Part 1) Find the measure of side HI
Applying the Pythagoras Theorem
![GI^{2} =GH^{2}+HI^{2}](https://tex.z-dn.net/?f=GI%5E%7B2%7D%20%3DGH%5E%7B2%7D%2BHI%5E%7B2%7D)
substitute the values and solve for HI
![17^{2} =8^{2}+HI^{2}](https://tex.z-dn.net/?f=17%5E%7B2%7D%20%3D8%5E%7B2%7D%2BHI%5E%7B2%7D)
![HI^{2}=17^{2}-8^{2}](https://tex.z-dn.net/?f=HI%5E%7B2%7D%3D17%5E%7B2%7D-8%5E%7B2%7D)
![HI^{2}=225](https://tex.z-dn.net/?f=HI%5E%7B2%7D%3D225)
![HI=15\ units](https://tex.z-dn.net/?f=HI%3D15%5C%20units%20)
Part 2) Find the measure of angle G
In the right triangle GHI
![cos(G)=\frac{GH}{GI}](https://tex.z-dn.net/?f=cos%28G%29%3D%5Cfrac%7BGH%7D%7BGI%7D)
substitute the values
![cos(G)=\frac{8}{17}](https://tex.z-dn.net/?f=cos%28G%29%3D%5Cfrac%7B8%7D%7B17%7D)
![G=arccos(\frac{8}{17})=61.93\°](https://tex.z-dn.net/?f=G%3Darccos%28%5Cfrac%7B8%7D%7B17%7D%29%3D61.93%5C%C2%B0)
Part 3) Find the measure of angle I
Remember that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
![](https://tex.z-dn.net/?f=%3CG%2B%3CH%2B%3CI%3D180%5C%C2%B0)
substitute the values
![61.93\°+90\°+< I=180\°](https://tex.z-dn.net/?f=61.93%5C%C2%B0%2B90%5C%C2%B0%2B%3C%20I%3D180%5C%C2%B0)
![< I=180\°-(61.93\°+90\°)=28.07\°](https://tex.z-dn.net/?f=%3C%20I%3D180%5C%C2%B0-%2861.93%5C%C2%B0%2B90%5C%C2%B0%29%3D28.07%5C%C2%B0)
Answer:
The inequalities all need to be of the form a < x ≤ b. i think that is it
Answer:
-10a + 2b - 3c
Step-by-step explanation:
hope this helps :)
9514 1404 393
Answer:
34.5 square meters
Step-by-step explanation:
We assume you want to find the area of the shaded region. (The actual question is not visible here.)
The area of the triangle (including the rectangle) is given by the formula ...
A = 1/2bh
The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...
A = (1/2)(11 m)(9 m) = 49.5 m^2
The rectangle area is the product of its length and width:
A = LW
The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...
A = (5 m)(3 m) = 15 m^2
The shaded area is the difference between the triangle area and the rectangle area:
shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2
The shaded region has an area of 34.5 square meters.