#18. C. 1&3
This is be cause when you simplify to y=.. for 4y=3x and 8y=6x, they both turn out to be y=3/4x. The constant of proportionality is 3/4 because both equations simplify to have that as a constant.
#19. D
Kathy can add less than or equal to 7 books to her suitcase.
To cross off the first two choices(A&B), you input a number above 7 and then multiply it by 1 3/4 . Add it to 37 1/2 and it will be more than 50, meaning it will not fit since the suitcase can’t have more than 50 pounds in it.
To cross off C, you would multiply 1 3/4 by 7 and get 12.25. Add 12.25 to 37 1/2 and you will get 49.75 . This result would mean that you can have less than 7 books or just 7 books, leaving the answer to be D.
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Answer:
(d) Reflexive Property of ≅; SSS
Step-by-step explanation:
There are no angles involved in the proof, so the SAS claims do not apply.
__
The symmetric property says ...
if A ≅ B, then B ≅ A
The reflexive property says ...
A ≅ A
In this case, the reflexive property is the one being invoked in the statement ...
AC ≅ AC
That, together with the claims of line 3 concludes the claim that all three sides are congruent to their corresponding counterparts. Hence the SSS postulate applies.
I get that the probability is of 5/36, because there are only 5 (6,2 ;6,3 ;6,4 ;6,5 ;6,6) and there are 36 combinations
I Hope this help you
Answer:
see below
Step-by-step explanation:
y = 3/4x + 3
To find the y intercept, let x =0 and solve for y
y = 0+3
The y intercept is 3
To find the x intercept, let y =0 and solve for y
0 = 3/4x+3
-3 = 3/4x
-3 *4/3 = 3/4x*4/3
-4 =x
The x intercept is -4
Since the discriminant is positive, this means we have two distinct real solutions.
If a, b, and c are rational numbers, then a discriminant of D = 40 indicates the two solutions are not rational. We would need D to be a perfect square to get two rational solutions.
