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3 years ago

I need help with this math problem -15x=0

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Divide each term by -15 and simplify.

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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

2 years ago

Solve st + 3t = 6 for s

vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

s = 2 - t

6 0

3 years ago

The limit as x-approaches 3 of f(x) is x-3 over x squared -9

Luden [163]

notice that the denominator can be factored into (x-3)(x+3).

Now you can cross out (x - 3) from the numerator and denomiantor resulting in a simplified fraction of $\frac{1}{x+3}$

Plug the limit value (which is 3) into the simplified fraction.

Answer: $\frac{1}{6}$

4 0

3 years ago

What is the sum of 2x^2 and 2x^3

jeyben [28]

For this case we have the following expression:

$2x ^ 2 + 2x ^ 3$

The terms are not similar, so they cannot be added.

Examples of similar terms:

$x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4$

Then, the expression given can only be rewritten as:

$2 (x ^ 2 + x ^ 3)$

This is taking common factor 2 to both terms.

Answer:

$2 (x ^ 2 + x ^ 3)$

7 0

4 years ago

Y=x+3 2x-y=-1 write solution as ordered pair

dsp73

The first equation tells you that $y=x+3$ . If you substitute this expression for $y$ in the second, we have

$2x-(x+3)=-1 \iff x-3=-1 \iff x=2$

And we can deduce $y=x+3=2+3=5$

5 0

3 years ago