7.2 cw homework help
Answers
Answer:
31. Yes (Y)
WXYZ ~ DABC
S.F.=4
32. Yes (Y)
GHIJ ~ KLMN
S.F.=2/3
33. Missing length: 16
34. Missing length: 30
35. x=7
36. x=10
Step-by-step explanation:
31. The polygons are similar if:
WX/DA=XY/AB
Then:
WX/DA=24/6→WX/DA=4
XY/AB=16/4→XY/AB=4
Like WX/DA=4=XY/AB, the polygons WXYZ and DABC are similar
Scale Factor: S.F.=XY/DA=XY/AB→S.F.=4
32. The polygons are similar if:
GH/KL=HI/LM=IJ/MN=GJ/KN
Then:
GH/KL=6/9=(6/3)/(9/3)→GH/KL=2/3
HI/LM=4/6=(4/2)/(6/2)→HI/LM=2/3
IJ/MN=4/6=(4/2)/(6/2)→IJ/MN=2/3
GJ/KN=4/6=(4/2)/(6/2)→GJ/KN=2/3
Like GH/KL=HI/LM=IJ/MN=GJ/KN=4, the polygons GHIJ and KLMN are similar
Scale Factor: S.F.=GH/KL=HI/LM=IJ/MN=GJ/KN→S.F.=2/3
33. If the polygons are similar, their sides must be proportional, then:
x/24=10/15
Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 5:
x/24=(10/5)/(15/5)
Dividing:
x/24=2/3
Solving for x: Multiplying both sides of the equation by 24:
24(x/24)=24(2/3)
Multiplying:
x=8(2)
x=16
34. If the polygons are similar, their sides must be proportional, then:
54/63=(54/9)/(63/9)→54/63=6/7
48/56=(48/8)/(56/8)→48/56=6/7
x/35=6/7
Solving for x: Multiplying both sides of the equation by 35:
35(x/35)=35(6/7)
Multiplying:
x=5(6)
x=30
36. (8x-2)/63=42/49
Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 7:
(8x-2)/63=(42/7)/(49/7)
Dividing:
(8x-2)/63=6/7
Solving for x: Multiplying both sides of the equation by 63:
63(8x-2)63=63(6/7)
Multiplying:
8x-2=9(6)
8x-2=54
Adding 2 both sides of the equation:
8x-2+2=54+2
Adding:
8x=56
Dividing both sides of the equation by 8:
8x/8=56/8
Dividing:
x=7
37. (6x-6)/63=42/49=30/35
Simplifying the fractions
(6x-6)/63=(42/7)/(49/7)=(30/5)/(35/5)
Dividing:
(6x-6)/63=6/7
Solving for x: Multiplying both sides of the equation by 63:
63(6x-6)63=63(6/7)
Multiplying:
6x-6=9(6)
6x-6=54
Adding 6 both sides of the equation:
6x-6+6=54+6
Adding:
6x=60
Dividing both sides of the equation by 6:
6x/6=60/6
Dividing:
x=10
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Antonia is keeping track of the number of pages she reads. She started the school year having already read 95 pages her book, and she then reads 20 pages each day. The function for her total pages read is f(x) = 20x + 95. What do f(x) and x represent in Antonia's situation?1. f(x) represents the number of days; x represents the total number of pages that Antonia has read 2. f(x) represents the total number of pages that Antonia has read; x represents the number of days 3. f(x) represents the number of pages Antonia reads per day; x represents the number of days 4. f(x) represents the total number of pages that Antonia has read; x represents the number of pages she reads per day
Tell whether each number is a solution to the problem modeled by the following equations mystery number: five more than -8 times a number is 29. what is the number?
Answers
3/5
B.
–1
C.
1
D.
-5/3
Answers
(4-(-1))/(-3-2)=5/-5 and dividing a negative by a positive=a negative so the slope is -1
the answer is B
x1 = -3, y1 = 4, x2 = 2, y2 =-1
m = (y2 - y1) / (x2 - x1).
m = (-1 - 4)/(2 - - 3).
m = -5/ (2 + 3) = - 5/5.
m = -1
Therefore slope, m = -1. So it is option B.
Answers
Answers
Answers
Answer:
Expression = 2 × 7 + 3 + 3
Evaluation of the expression = 20
Step-by-step explanation:
Number of laps Glenn swam every morning = 2
Number of days for which he swam these laps = 7 days
⇒ Number of laps swam in a week = 2 × 7
Number of laps swam with his friend on Tuesday = 3
Number of laps swam with his friend on Thursday = 3
So, Expression that show the number of laps he swam during the week = 2 × 7 + 3 + 3
By evaluating the above expression, the total number of laps he swam that week = 14 + 3 + 3 = 20 laps
The sales tax on a $750 computer at J & M Computers is $48.75. What is the sales tax rate?
Answers
0.065 * 100% = 6.5%
Check:
750 * 6.5% = 750 * 6.5/100 = 750 * 65/1000 = 48750/1000 = 48.75
Answer:
6.5%
Step-by-step explanation:
(48.75/750)*100%
=6.5%