9514 1404 393
Answer:
(a) ΔWZY ~ ΔWXZ ~ ΔZXY
Step-by-step explanation:
In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.
A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).
ΔWXZ lists sides in order short leg (WX), long leg (XZ).
ΔZXY lists sides in order short leg (ZX), long leg (XY).
The first similarity statement is correct.
__
You can compare this to an incorrect one, the last one, for example.
ΔYZW lists sides in order long leg (YZ), short leg (ZW).
ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.
I Would Say 3.75
You Might Want To Check It...But I Think That Is It
Answer:
3 packs
Step-by-step explanation:
1 pack = $3
To see how many she could buy divide the money she has by how much each pack costs
9/3 = 3
$3 for each pack is the same as
3+3+3 = 6+3 = 9
The smallest the absolute value will ever be is zero so the left side won't ever be smaller than -2 so won't ever be less than -3.
D. No solution
1st you have to know that in mathematiques the signs preceding any number are of paramount importance:
1) addition of 2 digits with different signs:
a) 8 - 3 = 5
b)-8 + 3 = -5 (if the negative sign is associated with largest digit, then the subtraction will be negative and vice versa
c) addition of 2 digits with both negative sign
- 5 - 8 = -13 .You jus add up both by keeping the negative sign
2) Multiplication: 2 digits with different signs:
a) (8) x (-3) = -24
b) (-8) x (3) = -24 so (-) x (+) or (+) x (-) is ALWAYS negative
3) Multiplication: 2 digits with SAME signs;
a) +8 x +3 = 24
b) (-8) x (-33) =24 so (-) x (-) or (+) x (+) is ALWAYS POSITIVE
4) what applies on multiplication applies also on division (same principle)
5) Now we come to parenthesis: When you have parenthesis, the sign preceding the parenthesis is also of paramount importance:
a) a positive sign preceding a parenthesis doesn't affect the consents if you remove these parenthesis: +(5 + 3y) = 5+3y or 2(5+3y) = 10+6y
b) a NEGATIVE sign preceding a parenthesis DOES affect the consents if you remove these parenthesis:
-2(4x -2y -3) ==> If you remove the parenthesis by multiplying by (-2), all signs inside will change: the (+) become ( -) and vice versa,. However mind you, if you have a negative
Now let's take your equation: -15 - ( - 8 ) = -15 +8, remember a negative sign preceding any parenthesis will change all signs inside if you REMOVE the parenthesis: some examples:
a) -15 + 10 -(4-32x -4y)
1st (-15 + 10) = -5 since the largest number is preceded by a NEGATIVE sign
so : -5 - (4-32x -4y) remove the parenthesis -5 -4 + 32x +4y
b) -(-5-8) -(+5+8) ==> -5-8 -5-8 = -10 - 16 => - 26
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