Answer:
The work shown here is correct.
It simplifies to 17x + 36y + 5.
Step-by-step explanation:
In this situation, there are four different items being purchased. This means their will be a sum of 4 terms. Each term will be the number of the item times its cost. When added together, the four terms will represent the total cost.
7 pens at $x is 7x
5 pens at $(2x+3) is 5(2x+3)
y pens at $6 is 6y
(3y-1) pens at $10 each is 10(3y-1)
All together the cost expression is 7x + 5(2x+3) + 6y + 10(3y -1).
Simplify by applying the distributive property and combine like terms.
7x + 10x + 15 + 6y + 30y - 10
17x + 36y + 5
Given:
The figure of a trapezium.
To find:
The measures of missing angle
.
Solution:
In the given figure
.
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
(Supplementary angles)



Similarly,
(Supplementary angles)



Therefore,
and
.
Answer:
530.66 cm squared
Step-by-step explanation:
c = 2(3.14)r
81.64 = 2(3.14)r
Divide both sides by 6.28
The radius is 13
a = 3.14(13 squared)
a = 530.66