You can use the measure of 112 on the similar shape to find b, as they are same side exterior angles. From there, you can find both a and c, because a/b and b/c are supplementary angles.
a = 68 degrees
c = 68 degrees
Answer: $4 senior, $7 child
Step-by-step explanation:
(3s + 9c = 75)
8s + 5c = 67
Answer:
4
Step-by-step explanation:
And let the missing number be x
We can solve using Algebra
11x - 10 = 34
11x = 34 + 10
11x = 44
x = 44/11
x = 4
For verification:
4(11) - 10 = 34
44 - 10 = 34
34 = 34
Hence, Proved
Answer:
Step-by-step explanation:
Total amount of apples that Nicole bought was 6 pounds.
Each pound of apple cost $1.50
This means that the total cost of the 6 pounds of apple that Nicole bought would be
6 × 1.5 = $9
The store had a discount of $2 off her total purchase. This means that the amount that was paid is
9 - 2 = $7
If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be
x = 7/2
Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
= (corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)