Problem 10
You are correct. You divide 360 over the exterior angle measure to get 360/72 = 5
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Problem 11
x = 33 is correct as this angle is an alternate interior angle pair with the 33 degree angle up top
y = 38 is correct since y+33+109 = 180 solves to y = 38. In other words: 38+33+109 = 180
z = 109 is correct. The opposite angles of a parallelogram are congruent
You want to buy something that costs $98, and it's on sale for 30% off. What is the item's sale price?
First, convert the 30% to a real mathematical number. For percents, this is always done by dividing the 30% by 100%, or 30% / 100% = 0.300.
Second, find out what 30% of $98 is. This is the amount of the sale discount. This is always found by mulitplying 0.300 by the item's cost $98, like this:
0.300 x $98 = $29.40.
So for this sale, you'll save $29.40 on this item.
This means, the cost of the item to you is
$98 - $29.40 = $68.60.
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
You would do 29.85 ÷ 3 which equals 9.95. You would do the in verse operation. Hope I helped you.
Answer:
(11/15)'s
Step-by-step explanation:
(2/5) is equal to (6/15)
(1/3) is equal to (5/15)
(5/15)+(6/15)=(11/15)
