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3 years ago

13

Given trapezoids QRST and WXYZ, which statement explains a way to determine if the two figures are similar?

2 answers:

larisa [96]3 years ago

4 0

the answer is C, all sides must be proportional to a specific factor, or the dilation

goblinko [34]3 years ago

4 0

Answer:

*C*

Step-by-step explanation:

Verify corresponding pairs of sides are proportional by dilation

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If a/b = 7/2, then 2a = ___<br><br> A) 4b.<br> B) 7b.<br> C) 14b.<br> D) 2b.

Anestetic [448]

If a/b = 7/2, then 2a = 7b

8 0

3 years ago

Read 2 more answers

Verify in the following whether g(x) is a factor of p(x)

notsponge [240]

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

Given that,

$\rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2$

and

$\rm \longmapsto\:g(x) = x - 2$

<em>We know, </em>

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

$\rm \longmapsto\:p(2)$

$\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2$

$\rm \: = \: 16 - 8 - 4 - 4$

$\rm \: = \: 16 - (8 + 4 + 4)$

$\rm \: = \: 16 - 16$

$\rm \: = \: 0$

$\rm\implies \:p(2) \: = \: 0$

<u>So, </u>

$\bf\implies \:g(x) \: is \: factor \: of \: p(x)$

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

$\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1$

and

$\rm :\longmapsto\: g(x) = x + 1$

Now, By using Factor Theorem, Consider

$\rm \longmapsto\:p( - 1)$

$\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1$

$\rm \: = \: - 2 + 1 + 2 + 1$

$\rm \: = \: 2$

$\rm\implies \:p( - 1) \: \ne \: 0$

<u>So, </u>

$\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)$

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3 years ago

Equal to t In terms of w,r and v

jekas [21]

Answer:

$\frac{WR}{v^2} =t$

Step-by-step explanation:

$W = \frac{v^2t}{R}\\\\W\cdot R = v^2t\\\\\frac{WR}{v^2} =t$

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3 years ago

At age 25, to save for retirement, you decide to deposit $75 at the end of each month in an ira that pays 6.5% compounded monthl

Alex787 [66]

Let P= $75, r=0.0054166, n= 40. In the future worth formula, F= P((1+r)^(n-1) -1) / r, it would yield a future worth of 3,247.16 at the age of 65. And the interest rate is I= (r^n-10)/(r-1). It yields an interest of 1.033

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4 years ago

Determine a and b so that figure ABCD is a parallelogram

ziro4ka [17]

Answer:

C(8,2)

That is the answer for a and b

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4 years ago