a chemist has one solution that is 60% acid into second does 40% acid how many gallons of each should be mixed together to get 2
1 answer:
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Answer:
See Below.
Step-by-step explanation:
In the given figure, AP = BP = PC.
And we want to prove that ∠ABC is a right angle.
Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.
By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.
Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.
And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>
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And since the sum of the interior angles of a triangle total 180°, we acquire:
Since they are all equivalent:
Hence:
∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:
- First, to shift the graph of
1 unit to the right, so
- Second, to shift the graph of
4 units to the left, so
To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged
In this case, we have the graph of:
And we need to translate it to make it the graph of:
According to our rules we need:
- First, to shift the graph of
- Second, to shift the graph of
But is the same as
, so the previous steps can be simplified as:
- Shifting the graph of
Below are shown those graphs:
- The blue one is
- The red one is
Shifting graphs: brainly.com/question/10010217
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keep in mind that, a negative coefficient to "x", will make the graph reflect over the y-axis.