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<span>The correct answer is option C. i.e. Statements 1 and 2 are postulates because they are true facts.A line must contain atleast two point because then only line can be formed. Similarly, a plane is formed when there are atleast three non-collinear points.</span>
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
<em>Option:</em>
<em>a. for every 13 dogs, there are 25 cats.
</em>
<em>b. there are twice as many cats as dogs at the shelter.
</em>
<em>c. the shelter has more dogs than cats.
</em>
<em>d. there are 25 animals in the shelter.</em>
Answer:
a. for every 13 dogs, there are 25 cats.
<em></em>
Step-by-step explanation:
Represent Dogs with D and Cats with C;
So;
By comparison:
This implies that:
For every 13 D, there are 25 C
Hence: Option A is true
