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zubka84 [21]
3 years ago
10

Prove that the following triangles are similar?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

You have that:

angle N = angle Z

and

angle ZYX = angle NYM (because they are vertical angles

Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.

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Solve the problem shown above^^
malfutka [58]

Answer:

Step-by-step explanation:

Since the lengths of the shelves are given in cm and the answer is to be expressed in cm, then let's convert the length of the whole board from 2.5 m to cm. Since there are 100 cm in a m, then multiply 2.5 by 100 to get 250 cm. Now let's start with the expressions for the shelves. The lengths of all the shelves are based on the length of the first shelf. You can usually tell which object is the main one because it is mentioned the most number of times. The first shelf is mentioned 3 times so that is the main shelf that the measurements of all the other shelves are based upon. Let's call the first shelf x. The second shelf is 18 cm longer than twice the length of the first so the second shelf is 2x + 18.

The third shelf is 12 cm shorter than the first so the third shelf is x - 12.

The last shelf is 4 cm longer than the first shelf so the last shelf is x + 4. Since he needs to use all 250 cm of the board, we add all the shelves together and set them equal to 250 cm:

x + 2x + 18 + x - 12 + x + 4 = 250 and

5x + 10 = 250 and

5x = 240 so

x = 48. The first shelf is 48 cm long. But we need the length of the second shelf. The expression for the second shelf is 2x + 18, so 2(48) + 18 = 114 cm.

8 0
4 years ago
I need help plz help me with this
cluponka [151]

Answer:

Okay you are asking for the area of a circle ( drum head ) to find that is. You get R (radious) by dividing 14 by 2 and get 7


Step-by-step explanation:

A= πr^2

so what is the R? Its 7

Plug the numbers in and

and your answer is 153.94



3 0
3 years ago
Suppose a triangle has two sides of length 2 and 3 and that angle between these two sides is 60 degrees. What is the length of t
Arturiano [62]

Answer:

Apply cosine rule:

c²=b²+a²-2ba cosC

C= pi/3 = 180/3 = 60 degrees

cosine 60 deg = 0.5

c²=2²+3²-[2×2×3×0.5]

c²=7

c=√7

c=2.645 ;length of third side of angle

Step-by-step explanation:

6 0
3 years ago
Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.
hoa [83]
The answer is b

Answer my questions plz
6 0
3 years ago
Read 2 more answers
Carl is making a rectangular dog run. he has 36 one-yard sections of fence that he plans to use to keep his dig inside. he wants
lapo4ka [179]
From the given condition, it must be seen to it that the width must also be the lowest whole-number possible. Thus, the width should be equal to 1 yard. The given 36 is the perimeter of the run.
                                 P = 2L + 2W
                                36 = 2L + 2(1)
                                      L = 17
Thus, the longest whole-number length is equal to 17 yards. 
8 0
3 years ago
Read 2 more answers
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