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Vaselesa [24]
3 years ago
5

Triangles A B C, D E F, G H I, and J K L are shown. Angles A C B, D F E, H I G, and K L J are right angles. The length of side A

C is 14 and the length of side C B is 20. The length of side E F is 8 and the length of F E is 10. The length of H I is 15 and the length of I G is 12. The length of K L is 10 and the length of L J is 7. The lengths of the hypotenuses are not given. Which pairs of triangles are similar? Check all that apply. △ABC ~ △DEF △DEF ~ △GHI △GHI ~ △ABC △GHI ~ △JKL △JKL ~ △ABC
Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:

B and E are the right ansewrs

Step-by-step explanation:

took the assignment

ExtremeBDS [4]3 years ago
4 0

Answer:

B and E

Step-by-step explanation:

Edg 2020 geometry

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Miriam has a bamboo plant that is 20 centimeters tall. The plant grows at a rate of 2 centimeters a week. Which recursive formul
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Y=20+2x

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3 0
3 years ago
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
Write an expression to represent the sum of three times the square of a number and -7 . In your expression what is the value of
stich3 [128]

Answer:

Step-by-step explanation:

3x^2-7

8 0
3 years ago
The y-intercept of the line whose equation is 2x + y = 4 is -2 2 4
Ber [7]

The y intercept is the value of y when x=0.  Substituting we get

y = 4

Answer: 4

8 0
3 years ago
Read 2 more answers
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
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