Answer:
Let C be the cost price of the article. Then:
C(1+30%)=marked price
So:
C(1+30%)=C(1.3)
=1.3C
If the article is then marked down 35%, then its’ price would be:
1.3C(1–35%)=1.3C(.65)
=0.845 or 84.5% of its’ cost
Then:
0.845–1=-0.155
or, a 15.5% loss on the item
Answer:
A≈31.83
Step-by-step explanation:
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Answers:
10. b. 
9. b. 
8. a. 
7. a. 
Step-by-step explanations:
10. Both segments are considered congruent, so turn both expressions into an equation:

Plug this back into the equation to get
on both sides.
9. All edges in a square obtain congruent right angles and edges, so set
equivalent to the given expression:

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

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Answer:
Step-by-step explanation:
In a right angled triangle, we have perpendicular, hypotenuse and base.
The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.
Applying formulas we can find the values:
the formulas are : cos (Ф) = Base / hypotenuse
sin (Ф) = Perpendicular / hypotenuse
tan (Ф) = Perpendicular / Base
11. cos z
cos z = Base / hypotenuse
cos z = 12/15
12. cos C
cos C = base / hypotenuse
cos C = 38/45
13. tan C
tan C = Perpendicular/ Base
tan C = 40/30
14. tan A
tan A = Perpendicular/ Base
tan A = 21/20
15. tan C
tan C = Perpendicular/ Base
tan C = 12/35
16. tan X
tan X = Perpendicular/ Base
tan X = 30/40
17. sin Z
Sin Z = Perpendicular / Hypotenuse
sin Z = 35/37
18. sin z = Perpendicular / Hypotenuse
sin z = 30/50
55% of 1800 = 0.55(1800) = 990...so there are 990 girls in the school
30% of 990 = 0.30(990) = 297...so there are 297 girls who take the bus