Answer:
Step-by-step explanation:
Set ratios and solve for x
<u>Corresponding sides are AC with A'C' and CB with C'B'</u>
- AC/A'C' = CB/C'B'
- (x - 1)/2 = (x + 4)/3
- 3(x - 1) = 2(x + 4)
- 3x - 3 = 2x + 8
- 3x - 2x = 8 + 3
- x = 11
<u>Find the values of AC and CB:</u>
- AC = x - 1 = 11 - 1 = 10 cm
- CB = x + 4 = 11 + 4 = 15 cm
Answer:
b, d
Step-by-step explanation:
20/-4 = -5
20 x (-1/4) = -5
Answer:







Step-by-step explanation:
Required
Simplify
Solving (1):

Factorize the numerator and the denominator

Factor out x+2 at the numerator

Express x^2 - 9 as difference of two squares


Expand the denominator

Factorize


Cancel out same factors

Hence:

Solving (2):

Expand the numerator and factorize the denominator

Factorize the numerator

Factor out x - 2

Cancel out x - 2

Hence:

Solving (3):

Express x^2 - 9 as difference of two squares

Factorize all:

Cancel out x + 3 and 3 + x


Express
as 



Hence:

Solving (4):

Expand x^2 - 6x + 9 and factorize 5x - 15

Factorize


Cancel out x - 3

Change / to *

Express
as 



Hence:

Solving (5):

Factorize the numerator and expand the denominator

Factor out x - 1 at the numerator and factorize the denominator

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator


Hence:

Solving (6):

Factorize:

Divide by 3x

Hence:

Solving (7):

Change / to *

Expand

Factorize


Cancel out x - 2 and x - 1

Cancel out x



Hence:

Given table is given below
The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?
lake A and lake B
lake B and lake C
lake A and lake E
lake C and lake D
Answer : lake A and lake E
Lake
---> Crocodiles
---> Alligators
---> Ratio
A
---> 4
----> 5
B
---> 21
---> 35
C
---> 3
---> 9
D
---> 6
---> 16
E
---> 24
---> 30
The ratio of A is 4: 5
B is 21: 35 = 3 : 5
C is 3 : 9 = 1 : 3
D is 6 : 16 = 3 : 8
E is 24: 30 = 4 : 5
Lake A and E has the same ratio 4: 5
(2,4)
I marked them on coordinate plane