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alexgriva [62]
3 years ago
14

Write two expressions that are equivalent to the expression below. (9- c) +(9 -c)+(9- c) +(9- c)

Mathematics
2 answers:
zvonat [6]3 years ago
5 0

Answer:

4( 9  - c)

and

36 - 4c

Step-by-step explanation:

(9- c) +(9 -c)+(9- c) +(9- c)\\\\= ( 9 - c)( 1 + 1 + 1 +1)\\\\=(9 -c) \times 4

or \\\\= 36  - 4c

GREYUIT [131]3 years ago
4 0

Answer:

{ \tt{4(9 - c)}} \\ and \\ { \tt{36 - 4c}} \\  \\ { \underline{ \blue{ \tt{becker \: jnr}}}}

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Let's use K for Kona and F for Fuji. The system of equations has to be a balanced system. For example, you can't mix the number of pounds of beans with the cost for each because pounds and dollars are different and you can only combine like terms...pounds with pounds and dollars with dollars. So let's start with the number of pounds. Since we don't know how much of each he bought we have the 2 unknowns, F and K, but we DO know that he bought 23 pounds total. So the first equation is
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Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
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3 years ago
We know that side NM is parallel to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pa
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See the picture attached.

We know:
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1) <span>We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>

The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.

2) Δ<span>XYZ is similar to ΔNYM by the AA (angle-angle) similarity theorem

The AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
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