Answer: the answer is 661.55
Step-by-step explanation:
interest formula: F = Pe^(rt)
Answer:
1st: 22, 2nd: 27, 3rd: 88
Step-by-step explanation:
Make an equation
If she recieved x calls the 1st evening, then the 2nd evening she recieved x+5, and the 3rd evening she recieved 4x.
x+x+5+4x=137
Combine like terms
6x+5=137
Subtract 5 from both sides
6x=132
Divide by 6 on both sides
x=22
First:
22 calls
Second:
x+5
22+5
27 calls
Third:
4x
4*22
88 calls
Hope this helps!
Answer D. 51
Step-by-step explanation:
Sum of the interior angles of a triangle is up to 180
.: 32+(2x-15) + (x-5) = 180
Group like terms
2x+x =180 - 32 + 15 + 5
When - and + sign cross equal sign it turns to the opposite
3x = 168
x= 168/3
.: X =56
Now put x = 56 in (x - 5)
Angle ABC = 51
The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
Learn more about reflection
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