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Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

They are based on SSS. They have the middle side which they share and is equal. And those other two lines also make those sides equal, so all sides are equal and they’re congruent

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Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore

velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The Side-Angle-Side Similarity Theorem states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU and side ST must be proportional to side UT

RS/VU=ST/UT

Verify

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

6 0

2 years ago

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a rectangle prism has a volume of 3x^2 + 18x+ 24. its base has a length of x + 2 and width of 3, what expression represents the

OlgaM077 [116]

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\qquad 
\begin{cases}
l=x+2\\
w=3\\
V=3x^2 + 18x+ 24
\end{cases}\implies \cfrac{V}{lw}=h
\\\\\\
\cfrac{3x^2 + 18x+ 24}{3(x+2)}=h\implies \cfrac{\underline{3}(x^2 + 6x+ 8)}{\underline{3}(x+2)}=h
\\\\\\
\cfrac{(x+4)\underline{(x+2)}}{\underline{(x+2)}}=h\implies x+4=h$

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3 years ago

A shoe store charges a retail price of $39 for a certain type of sneaker. This retail price is 30% more than the amount it costs

Vedmedyk [2.9K]

The answer is $31.20

Hope this helped :)

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3 years ago

Solve the system of equations. −5y−10x=45 −3y+10x=−5

Fynjy0 [20]

(-2,-5)
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