Answer:
30 + 2x = 180
2x = 150
x = 75
So the smaller angle is 75 degrees
and the larger angle is said to be 30 more than the smaller so,
75 + 30 = 105 degrees
Larger angle = 105 degrees
Smaller angle = 75 degrees
Both Maria and Edwin are correct
Maria's method
25% of 26.50 = 6.625
26.50 - 6.625 = 19.875
10% of 19.875 = 1.9875
19.875 + 1.9875 = 21.8625 as final price
Edwin's method
75% of 26.50 = 19.875
110% of 19.875 = 21.8625 as final price
The book is 25% off the original price, so the remaining value is 75% of the original value
By adding 10% tax on to the original price, the final price will be 100%+10%=110% of the original price
Both Edwin and Maria has enough money to purchase the book
Y=mx+b
so is 2
the last number of the equation
Answer:
A. 1 rectangle, 2 triangles
B. AB = AE = 5
C. 36.5 square units
Step-by-step explanation:
<h3>A.</h3>
The attached figure shows 1 rectangle (square) and two triangles.
__
<h3>B.</h3>
These sides are aligned with the grid, so their length is simply the difference in coordinates along the line:
AB = 2 -(-3) = 5
AE = 3 -(-2) = 5
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<h3>C.</h3>
The area of the square is ...
A = s^2 = 5^2 = 25
The area of triangle BCF is ...
A = 1/2bh = 1/2(3)(5) = 15/2
The area of triangle CDE is ...
A = 1/2bh = 1/2(8)(1) = 4
The total area is the sum of the areas of the square and two triangles:
total area = 25 +7.5 +4 = 36.5 . . . square units
_____
<em>Additional comment</em>
We note that segment CE divides the figure into <em>trapezoid</em> ABCE and <em>triangle</em> CDE. The trapezoid has bases 5 and 8, and height 5, so its area is ...
A = 1/2(b1 +b2)h = 1/2(5 +8)(5) = 32.5
Triangle CDE has the same area as computed above, 4 square units. So, the total area of the figure is ...
32.5 +4 = 36. 5 . . . . square units
You multiply both sides of the equation by 3.7 to isolate p, the variable. You should get 18.87
Hope this helps