Answer:
54.7599
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is
Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Transformation which can be used for mapping of one triangle to another are;
- Only translation
- Rotation then dilation.
What does mapping mean in geometry?
- Any method that is outlined for assigning a specific object from one (or the same) set to each object in another is known as mapping.
- Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped.
We need to map one triangle to another ;
Hence, for mapping of one triangle to another,
The transformation which can be used from the given options are;
- Only translation
- Rotation then dilation
Learn more about mapping
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Answer:
3360 dollars
Step-by-step explanation:
280 x 12 = 3360
