Answer:
no solutions
Step-by-step explanation:
This is a not a equation
but I can simplify
v101-101
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)
Answer:
LCM :
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
Meanwhile
4 x 1 = 4
4 x 2 = 8
4 x 3 = 12
4 x 4 = 16
4 x 5 = 20
4 x 6 = 24
The LCM of 6 and 4 is 12
HCF:
36 : 1,2,3,4,6,9,12,36
24 : 1,2,3,4,6,8,12,24
HCF of 36 and 24 is 12
So therefore Hussein is correct because both the LCM and HCF is 12
If x is the number of tickets she has left, then 2x is the number she has used (2×number of rides she has gone on). So the number she has left would be...
14 - 2x
We can now find an equivalent expression by replacing the x with a number... for example...
14 - 2(2)
This would be if she rode two rides. You could solve the equation like this...
14 - 2x =
14 - 2(2) =
14 - 4 = 10
After 2 rides she has 10 tickets left.
Answer:
Step-by-step explanation:
Adding and subtracting expressions:
a) M + (5x² -2xy) = 6x² +9xy - y²
M = 6x² + 9xy - y² - (5x² - 2xy)
Remove the parenthesis by mulplying each term of 5x² - 2xy by (-1) as (-1) is outside the parenthesis
= 6x² + 9xy - y² - 5x² + 2xy
Combine ( add or subtract) like terms.
= 6x² - 5x² + 9xy + 2xy - y²
= x² + 11xy - y²
Hint: Like terms have same variable with same power.
Here, like terms are (i) 6x² and (-5x²) (ii) 9xy and 2xy
b) (3xy - 4y²) - N = x² - 7xy + 8y²
3xy - 4y² = (x² - 7xy + 8y²) + N
3xy - 4y² - (x² - 7xy + 8y²) = N
3xy - 4y² - x² + 7xy - 8y² = N
3xy + 7xy -4y² - 8y² -x² = N
10xy -12y² - x² = N
Answer: N = 10xy - 12y² -x²
