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Kipish [7]
3 years ago
8

Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

Option D is correct.

\triangle ADE \sim \triangle ABC

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

\angle ADE = \angle ABE  [Angle]             [Given]

\angle DAE = \angle BAC  [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒\triangle ADE \sim \triangle ABC

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koban [17]

Answer: How did the Ancestral Puebloans adapt their housing to the building materials that were available in the arid Southwest? They built some houses of stone blocks against canyon walls and built freestanding villages of stone and adobe brick.

Step-by-step explanation:

8 0
3 years ago
What is the coefficient of the second term of the trinomial?
marin [14]
The coefficient of the second term is 18.

What you do is you FOIL the terms:
(3x+3)(3x+3)\\ Multiply\ the\ first\ terms\ together:\\ 3x*3x=9x^{2}\\ Then\ the\ outer\ terms:\\ 3x*3=9x\\ Next,\ the\ inner\ terms:\\ 3x*3=9x\\ Finally,\ multiply\ the\ last\ terms:\\ 3*3=9\\ Putting\ the\ terms\ together:\\ 9x^{2}+9x+9x+9=9x^{2}+18x+9\\\\ Since\ (3x+3)^{2}=9x^{2}+Bx+9=9x^{2}+18x+9,\ then \ B=18.
7 0
3 years ago
Read 2 more answers
Using Euclid's division algorithm prove that : 847,2160 are co-primes
AysviL [449]
Definition of eo-primes or relatively primes: Two numbers are said to be co-prime or relatively prime If their HCF IS 1 Hence to prove 847 and 2160 as co-prime numbers we will find their HCF and which should be 1

New steps to find HCF will be as under

2160 = 847 x 2+ 466
847 = 466 ×1 +381
466 = 381 x 1 + 85
381 =85 x 4+ 41
85 =41 x 2+3
41 =3 x 13+ 2
3 =2 x 1+1
2 =1 x 2+0

Therefore, the HCF=1 Hence, the numbers are co-primes (relatively prime).
5 0
3 years ago
In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.
Roman55 [17]
In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.


5/2 miles per hour

(3/4÷1/4)=3 miles per hour☆☆☆☆☆☆☆

41/4 miles per hour

4 miles per hour
8 0
3 years ago
Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurri
beks73 [17]

9514 1404 393

Answer:

  • x + y = 20
  • 20x +30y = 450

Step-by-step explanation:

The equation for the total number of cases is ...

  x + y = 20

The equation for the total cost of the cases is ...

  20x +30y = 450

_____

<em>Additional comment</em>

The solution to these equations is (x, y) = (15, 5).

5 0
2 years ago
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