Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
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0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
Answer:
The answer is 
Step-by-step explanation:
we know that f(x) is written as 
to show that the graph is being translated up, vertically stretching, and reflecting across the x axis, we need to factor the function.

now we can incorporate the changes to this graph.
multiply 3x by 2 and -1. (2 for a stretch and -1 for a reflection).

tack on the +3 to show a translation of 3 units up.

therefore, 
hope this helps!
Answers: G) ∠BCS = 57.5°
H) ∠FHI = 72°
I) ∠ACB and also ∠DCH
J) ∠CHD (which can also be named ∠BHE)
<u>Step-by-step explanation:</u>
First of all, I checked your answers for A-F and they are all correct. YAY!
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G) Draw a point halfway between B and D and label it S. Then draw a ray from C passing through S.
∠ACB and ∠BCD are supplementary so
65° + ∠BCD = 180°
⇒ ∠BCD = 115°
Since ray CS bisects ∠BCD, then ∠BCS is half of ∠BCD.

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H) The instructions state to draw a line from H to F. This divides ∠DHI into two angles: ∠FHD and ∠FHI. Since lines BI and EG are perpendicular, then ∠DHI = 90°. It is given that ∠FHI is 4 times larger than ∠FHD so we can use substitution...
∠FHD + ∠FHI = ∠DHI
∠FHD + 4(∠FHD) = 90°
5(∠FHD) = 90°
∠FHD = 18°
∠FHI = 4(∠FHD)
= 4 (18°)
= 
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I) adjacent means they share a side and supplementary means they form a straight angle. There are two angles that are adjacent and supplementary to ∠ACH.
- ACB - they share side AC and are supplementary on BH
- DCH - they share side CH and are supplementary on AD
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J) congruent means equal and adjacent means they share a side.
The angle that is not congruent nor adjacent to ∠GHI is its vertical angle, which is ∠CHD. <em>Notice that ∠CHD is the same as ∠BHE.</em>
I believe the answer is
(x,y)-> (x+9,y-12)
I believe it is C because the Associative property states that no matter how you use your parenthesis the answer will be the same <span />