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3 years ago

In the figure shown, which theorem can be used to show that ABC = ADEF?

Mathematics

1 answer:

adell [148]3 years ago

3 0

Pick choice-C ... AAS.

When I learned Geometry (during the late Pleistocene epoch), I don't remember ever using AAS.

BUT ... If you know 2 angles of a triangle, then you know all three, because they all add up to 180.

So if you have AAS=A'A'S', then you also have ASA=A'A'S', which was a congruence theorem even way back then.

Ahhh the good old days. We rarely got any homework, because the teachers all knew that the clay tablets would ruin our backpacks.

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Finger [1]

Answer:

Given expression : $\frac{9}{4}-2(4x+\frac{4}{3} )+\frac{5}{2}x$ ......[1]

Using distributive property: $a\cdot (b+c) =a\cdot b + a\cdot c$

[1]⇒ $\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x$

Simplify:

$\frac{9}{4} - 8x - \frac{8}{3}+\frac{5}{2}x$

Like terms are those terms which are same variables.

Combine like terms: we get;

$(\frac{9}{4} - \frac{8}{3}) - 8x + \frac{5}{2}x$ ......[2]

$\frac{27-32}{12} -8x +\frac{5}{2} x$

Simplify:

$\frac{-5}{12} -8x +\frac{5}{2}x$

$\frac{-5}{12} - \frac{11}{2}x$

we can write equation [2] as;

$\frac{27}{12} - \frac{8}{3} - 8x + \frac{5}{2}x$

Combine like terms of x variables;

$\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x$

Therefore, the expressions which are equivalent to the Given expression are:

$\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x$

$\frac{-5}{12} -8x +\frac{5}{2}x$

$\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x$

$\frac{-11}{2}x - \frac{5}{2}$

3 0

3 years ago

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardize

ozzi

Answer: D) The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.

Step-by-step explanation:

In the table shown, the estimated time for language arts is greater than the estimated time for math. They can answer 25 math questions in 87 minutes, whereas for language arts, they take 88 minutes to answer 20 questions. Therefore, the slope for LA is greater than the slope for Mathematics. Hope this helps :)

7 0

2 years ago

State University has no honors English course but instead places all freshman scoring at least 60 on a proficiency exam (mean=50

rusak2 [61]

Answer:

that put into the advanced course is 396.75

Step-by-step explanation:

The computation of that put into the advanced course is shown below:

P(X>60)

= P((X - mean) ÷ s > (60 - 50) ÷ 10)

= P (Z > 1)

= 0.1587