Andy has two rectangular gardens. His smaller garden is 8 feet long and 4 feet wide. The larger garden is 12 feet long and six feet wide. Which statement correctly describes Andy gardens?a/The gardens are only congruent.
b. The gardens are similar and congruent.
c. The gardens are congruent, but not similar.
d. The gardens are similar, but not congruent.
Answers
The garden are similar, but not congruent option (D) is correct after applying the concept of similarity.
What is the congruent triangle?
Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
It is given that:
Andy has two rectangular gardens. His smaller garden is 8 feet long and 4 feet wide.
The larger garden is 12 feet long and six feet wide.
As the corresponding dimensions are not same but have in equal ratio or proportions.
Thus, the garden are similar, but not congruent option (D) is correct after applying the concept of the similarity.
Learn more about the congruent triangle here:
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The garden are similar, but not congruent.
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Answers
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Answer:
The sum has a degree of 6, but the difference has a degree of 7
A. 34°
B. 56.5°
C. 22°
D. 68°
Answers
Answer:
Option A.
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
substitute the values
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x = white ribbons
x-3 = blue ribbons
x+2 = red ribbons
35= x+x-3+x+2
35= 3x -1
36 =3x
12 = x
12 white ribbons
9 blue ribbons
14 red ribbons
12+14+9 = 35
Blue 9
Red 14
I did it without paper so I'm not sure but it works :D
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Answer:
-6 is not a natural number. It is an integer because of the negative symbol.
Hope this helped and have a great day!
(vote brainliest please)
Answer: no
explanation: because all natural numbers have to be positive
Answers
Would take the terms in reducing powers of x, and increasing powers of 2.
1st term = ¹⁰C₀ x¹⁰(2)⁰ = x¹⁰
Second term = ¹⁰C₁ x¹⁰⁻¹(2)¹ = ¹⁰C₁ x⁹(2)¹
Third term = ¹⁰C₂ x¹⁰⁻²(2)² = ¹⁰C₂ x⁸(2)²
Fourth term = ¹⁰C₃ x¹⁰⁻³(2)³ = ¹⁰C₃ x⁷(2)³
So we shall now simplify the fourth term which is = ¹⁰C₃ x⁷(2)³
ⁿCr = n! /( r!(n -r)! )
¹⁰C₃ = 10! /( 3!(10 -3)! ) = 10! / (3!*7!) = (10 *9 * 8* 7!) / (3!*7!)
= 10*9*8 / 3! = (10*9*8) / (3*2*1) = 120
4th term = ¹⁰C₃ x⁷(2)³ = 120 *x⁷*(2)³ = 120*2³*x⁷
= 120*8x⁷
= 960x⁷
So the fourth term in reducing powers of x = 960x⁷
I hope this helped.