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3 years ago

Isosceles triangles are always similar according to the Angle-Angle Similarity Postulate?

1 answer:

7 0

I don't think so.

The Angle-Angle Similarity postulate says that two triangles are similar
if they have two corresponding angles that are equal in measure ... two
angles in one triangle equal to two angles in the OTHER triangle.

Every isosceles triangle has two angles that are equal to each other.
But that doesn't tell you how those angles compare to the angles of a
DIFFERENT isosceles triangle.

If you pick two isosceles triangles, there's practically a zero chance
that the two equal angles in one triangle have the same measure as
the two equal angles in the other triangle. So the Angle-Angle Similarity
Postulate doesn't apply to them.

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Help please!! I will mark brainilist and give a lot of points.

julia-pushkina [17]

Answer:

a = 23.588

Step-by-step explanation:

a^2 = 17 1/3^2 + 16^2

a^2 = 300.4 + 256

a^2 = 556.4

a = 23.588 (I rounded to thousandths but you can round to whatever)

8 0

2 years ago

Read 2 more answers

30 tens =___ 100 30 ten's is equal to how many 100's

VashaNatasha [74]

Answer:

Step-by-step explanation:

30 tens is basically 30 x 10 = 300

300/100 = 3

you get 3 hundreds from 30 tens

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2 years ago

Find each absolute value | 4+2i | | 5-i | | -3i |

galina1969 [7]

How to get answer for number 1: | 4+2i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}$

How to get answer for number 2: | 5-i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}$

Number 3 how to get answer: | -3i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3$

4 0

2 years ago

Read 2 more answers

A laundry basket has 24 t-shirts in it. Four are navy,

Shtirlitz [24]

Answer:

The probability is of selecting a green shirt is 8

Step-by-step explanation:

24 - 4 = 20

20 - 12 = 8

4 0

2 years ago

An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in

Nikitich [7]

Answer: $4.37\times10^3$

Step-by-step explanation:

Given : Number of choices for novels = 4

Number of choices for plays = 6

Number of choices for poetry books = 5

Number of choices for nonfiction books = 5

Total books =4+6+5+5=20

If he wants to include all 4 novels, then the number of books left to select = 9-4=5

Remaining choices for books = 20-4=16

Number of combinations of n things taking r at a time : $\dfrac{n!}{r!(n-r)!}$

Then, the number of different reading schedules are possible :_

$^4C_4\times^{16}C_5\\\\=\dfrac{4!}{4!(4-4)!}\times\dfrac{16!}{5!(16-5)!}\\\\=(1)\times\dfrac{16\times15\times14\times13\times12\times11!}{120\times11!}\\\\=4368=4.368\times10^3\approx4.37\times10^3$

Hence, the required answer is $4.37\times10^3$ .

8 0

3 years ago