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ruslelena [56]
3 years ago
6

Are the triangles to the right congruent? EXPLAIN YOUR ANSWER

Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

Yes, they are congruent

Step-by-step explanation:

Using Pythagorean theorem in ΔMNP,

Base² + altitude² = hypotenuse²

MP² + 28² = 35²

MP² + 784 = 1225

         MP² = 1125 - 784 = 441

         MP =√441

MP = 21

As per RH congruent rule,

Hypotenuse NP ≅ RS  and

Any one leg , here MP = RQ = 21'

Elza [17]3 years ago
5 0

Answer:

Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.

Step-by-step explanation:

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A rectangle has a perimeter of 28 feet. The width of the rectangle is two foot less than the length of the rectangle. What is th
lozanna [386]

Step-by-step explanation:

perimeter of a rectangle = 2×length + 2×width = 28 ft

width = length - 2

length = width + 2

2×(width + 2) + 2×width = 28

2×width + 4 + 2×width = 28

4×width + 4 = 28

4×width = 24

width = 6 ft

and the length is width + 2 = 6+2 = 8 ft.

8 0
2 years ago
Factorizing as the Difference of Two Squares<br>1. 144x2 - 49​
igor_vitrenko [27]

Answer:

Factorizing as the Difference of Two Squares

1. 144x2 - 49​

Step-by-step explanation:

Where is the picture?

7 0
3 years ago
A circle with radius r is inscribed inside a square with a side length s. Use 3.14 for TT. Round answers to the nearest hundredt
Kamila [148]

Answer:

Step-by-step explanation:

Area of circle =πr²  and r = s/2

Area of the shaded region = area of square - area of the circle

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8 0
3 years ago
A coin is tossed 6 times. Find the probability P(of exactly 4 occurrences of heads).
Angelina_Jolie [31]
Let's draw!

H                             1                              T
HT                           2                           HT
HTHT                      3                      HTHT
HTHTHT                 4                  HTHTHT
HTHTHTHT            5             HTHTHTHT
HTHTHTHTHT       6        HTHTHTHTHT

You can count the probabilities using this.

HHHHTT
HHHTHT
HHTHHT
HHTHTH
HHHTTH
HTHHHT
HTTHHH
HTHTHH
HTHHTH

THHHHT
THHHTH
THHTHH
THTHHH
TTHHHH

Therefore, I think the probability is 14/64. Not sure so check my work.
14 combinations
64 outcomes (2+4+8+16+32+64 or 2^n)

7 0
3 years ago
Match the expression to its value.​
brilliants [131]

Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

6 0
2 years ago
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