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sweet [91]
4 years ago
12

Which similarity statements are true? Check all that apply.

Mathematics
2 answers:
cluponka [151]4 years ago
5 0

Answer:

the answer is 1,4,5

or A , D, E

Step-by-step explanation:

pshichka [43]4 years ago
4 0
<span>Two triangles are said to be similar if they have all their angles equal and corresponding sides are in the same ratio.

Given the figure above, it can be seen that </span><span>△JKL is a right triangle with the right angle at K.
Also, </span><span>△KML is a right triangle with the right angle at M.
Obviously, angle K = angle M given that they are both right angles.
Also angle L = angle L by the reflexive property.

Therefore, </span><span>△JKL ~ △KML by the AA similarlity

</span>
Similarly, it can be seen that <span>△JMK is a right triangle with the right angle at M.
Also, </span><span>△JKL is a right triangle with the right angle at K.
Obviously, angle M = angle K given that they are both right angles.
Also angle J = angle J by the reflexive property.

Therefore, </span>△JMK ~ △JKL by the AA similarlity

Therefore, the similarlity statements that are true are △JKL ~ △KML and △JMK ~ △JKL
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The sum of two numbers is 18 the sum of greater numbers and twice the smaller numbers is 25 the numbers
Gnoma [55]

Answer:

  the numbers are 7 and 11

Step-by-step explanation:

If you add the smaller to the sum of numbers, you have the sum of the greater and twice the smaller. That is ...

  18 + smaller = 25

  smaller = 25 -18 = 7

  larger = 18 -7 = 11

The two numbers are 7 and 11.

_____

If you like, you can write two equations. Let x and y represent the smaller and larger numbers, respectively.

  x + y = 18

  2x + y = 25

Subtract the first equation from the second:

  (2x +y) -(x +y) = (25) -(18)

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7 0
4 years ago
Given the sequence 5, 6, 7, 8, ....., where x = 1, 2, 3, 4, ...., what is the first term in the sequence?
wel

The first term in the sequence is 5.

<u>Step-by-step explanation</u>:

The sequence is 5,6,7,8,.....

  • The first term = 5
  • The second term = 6
  • The third term = 7

where x= 1,2,3,4,...

The sequence follows the pattern (x+4).

  • For x=1, then (1+4) = 5 which is the first term of the sequence.

Similarly,

  • For x=2, then (2+4) = 6 which is the second term of the sequence and the sequence follows the same pattern.
8 0
3 years ago
Which are the solutions of x2 = –7x – 8?
OLga [1]

Answer:

x = -3.5  ± √17/2

or

x =  -1.44, -5,56 to the nearest hundredth.

Step-by-step explanation:

x^2 = –7x – 8

x^2 + 7x + 8 = 0

Using the quadratic formula:

x = [-7 ± √(7^2 - 4*1*8)] / 2

x = -3.5  ± √17/2

7 0
3 years ago
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