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den301095 [7]
3 years ago
5

Can someone help me understand number 4? please

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

9514 1404 393

Explanation:

You are given a side and its opposite angle as being congruent to their counterparts in the other triangle. To prove triangle congruence, you need at least 2 sides and an angle, or at least 2 angles and a side, or 3 sides. That is, available congruence postulates are ...

   SSS SAS ASA AAS

__

Here, we observe that congruence of another angle can be claimed by considering the vertical angles at M. So, our proof can be written as ...

1. ∠LOM≅∠NPM, LM≅NM . . . . given

2. ∠LMO≅∠NMP . . . . vertical angles are congruent

3. ΔLOM≅ΔNPM . . . . AAS congruence postulate

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The hypotenuse of right triangle is 116 meters long. The difference between the other two sides is 4 meters. Find the missing si
Scilla [17]

Answer:

Longer side = 84 meters

Shorter side = 80 meters

Step-by-step explanation:

The hypotenuse is the longest side of the right angle triangle. Let x represent the length of the longer side of the triangle. The difference between the other two sides is 4 meters. It means that the length of the shorter side is x - 4

Applying Pythagoras theorem which is expressed as

Hypotenuse² = longer side² + shorter side²

Therefore,

116² = x² + (x - 4)²

13456 = x² + x² - 4x - 4x + 16

2x² - 8x + 16 - 13456 = 0

2x² - 8x - 13440 = 0

Dividing through by 2, it becomes

x² - 4x - 6720

x² + 80x - 84x - 6720 = 0

x(x + 80) - 84(x + 80) = 0

x - 84 = 0 or x + 80 = 0

x = 84 or x = - 80

Since the length cannot be negative, then

x = 84

Length of shorter side is

84 - 4 = 80

5 0
3 years ago
75 pins of juice in 5 containers find the rate and unit rate
Eva8 [605]

Answer: 15 juice pins per container

75 Juice pins ÷ 5

5 Containers ÷ 5

=

15 Juice pins

1 Container

=

15 Juice pins

1 Container

= 15 Juice pins per Container


4 0
3 years ago
1. (2 pts) Which of the following values of x MOST CLOSELY solves 32x+3 - 107x4?
lesantik [10]

Answer:

<em>The answer is (3)</em>

Step-by-step explanation:

32x+(3) - 107x4 and the 3 is close.

therefor is it is (3)

8 0
3 years ago
Mauricio wants to fry 18 potatoes per hour for 3.5, point, 5 hours. He can fry 6 potatoes using each gallon of oil. How many gal
Alina [70]
Honestly I couldn't understand most of that but if one gallon of oil is needed to fry 6 potatoes, and he wants to fry 18 potatoes, then he'll end up using 3 gallons
6 0
3 years ago
Read 2 more answers
For the following triangle, find the value of x. Please upload a picture of your
Mice21 [21]

Answer:

x = 19

Step-by-step explanation:

All triangle angles equal 180

3x + 9 + 2x + 4x = 180

9x + 9 = 180

9x = 171

x = 19

6 0
4 years ago
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