3 years ago

Factor with GCF and slide and divide 7n^2 + 52n + 21

Mathematics

1 answer:

UkoKoshka [18]3 years ago

3 0

Answer:

( 7 n+ 3 ) ( n + 7 )

Step-by-step explanation:

factor by grouping

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Find the value of x in the triangle.

Studentka2010 [4]

Answer:

164

Step-by-step explanation:

Remember, everytriangle is 180 all together. So add what you see and subtract it from 180.

9+7= 16

180-16= 164

Hope it helps

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Answer:

Step-by-step explanation:

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3 years ago

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2 years ago

In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD (∵Given)

∠ACB=∠CAD (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

$\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}$

Comparing first two, we get

⇒ $\frac{x}{27}=\frac{12}{x}$

⇒ $x^2=27\times 12$

⇒ $x=\sqrt324=18$

hence, the length of diagonal is 18 m

4 0

3 years ago