Answer:
12% decrease
Step-by-step explanation:
[(new value - old value) / old value] x 100
(22 - 25) / 25 = -3/25 = -0.12
-0.12 x 100 = -12%
when you have a negative it indicates a decrease rather than an increase
Answer:
D.) $12n + $8u = 112 ;u = 4 + n
Step-by-step explanation:
Given that :
Cost per new books (n) = $12
Cost per used book (u) = $8
Total revenue earned = $112
store sold 4 more used books than new books
Hence,
Total revenue should be :
Revenue from new books + Revenue from used book = total revenue
Revenue from new books = $12 * n = $12n
Revenue from used books = $8 * n = $8n
$12n + $8u = 112
Number of books sold :
Number of used books sold = 4 + number of new books sold
u = 4 + n
Answer:
(a)11 hours
(b)19.5 hours
(c)2.5 hours
Step-by-step explanation:
The number of hours of daylight, H, on day t of any given year in a particular city can be modeled by the function :
(a)When t=83
(b)When t=175
(b)When t=358
Allow ABC to be an
equilateral triangle so AB = AC = BC. Let X be the midpoint of BC, AX is the
median of BC, and BX = CX. Look at triangles BAX and CAX. Obviously, AX = AX since
AB = AC and BX = CX, subsequently by SSS Congruence Test, we have that
triangles BAX and CAX are congruent. Therefore, corresponding angles are
congruent so <ABX = <ACX. Because <ABX and <ABC are the same angle,
they are obviously congruent, and then <ABX = <ABC. Likewise, <ACX and
<ACB are the same angles so <ACX = <ACB. Then, <ABC = <ACB. Please
note that <ABC = <B and <ACB = <C. Therefore, <B = <C. <span>
<span>At present, disregard AX and let Y be the midpoint of AC.
Then BY is the median of AC. Then AY = CY. Evidently, BY = BY. Because AB = BC, we see that triangles ABY
and CBY are congruent by SSS. Then corresponding sames are congruent so <BAY
= <BCY. Since <BAY and <BAC are the same angles then <BAY =
<BAC. Similarly, <BCY = <BCA since they are the same angles. Then
<BAC = <BCA. Note that <BAC = <A and <BCA = <C. Therefore,
<A = <C. </span>
<span>Thus, <A = <C = <B. So all the angles are congruent.</span></span>
Answer:
Step-by-step explanation:
we know that
In this problem ABCD is a rectangle
so
DC=AB
BC=AD
Let
BC ---> the length of rectangle
DC ---> the width of rectangle
we know that
The perimeter of rectangle is equal to
we have
so
simplify
----> equation A
----> equation B
substitute equation B in equation A
Solve for BC
Combine like terms
Divide by 3 both sides
<em>Find the value of DC</em>
---->
Remember that
DC=AB
therefore