1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
Simplify completely quantity 6 x minus 12 over 10.
Natali [406]
Hey! 
So we have 6 multiplied by -12 and that is over 10
so we are multiplying a positive number by a negative number. When you do that the answer will be a negative number. 
Now we have -72/10
we can simplify that more
divide the numerator and denominator by 2 because that is the largest number that is divisible by both number
now it is -36/5
The answer is -36/5
Hope this helps!
8 0
3 years ago
Find the perimeter of the following figure.<br> ​a= 12<br> b=5<br> c=?<br> its pythagorean theorem
mrs_skeptik [129]

Answer:

c=13 Perimeter=30

Step-by-step explanation:

c is equal to 13 so add all the sides together and you get 30

5 0
3 years ago
Read 2 more answers
I am confused. please help!
wel

Answer:

Step-by-step explanation:

D=90°

E=147°

F= 33°

4 0
3 years ago
discrete random variable X has the following probability distribution: x 13 18 20 24 27 P ( x ) 0.22 0.25 0.20 0.17 0.16 Compute
tatuchka [14]

Answer:

(a) P(X = 18) = 0.25

(b) P(X > 18) = 0.53

(c) P(X ≤ 18) = 0.47

(d) Mean = 19.76

(e) Variance = 22.2824

(f) Standard deviation = 4.7204

Step-by-step explanation:

We are given that discrete random variable X has the following probability distribution:

            X                    P (x)             X * P(x)            X^{2}             X^{2} * P(x)

           13                    0.22              2.86              169              37.18

           18                    0.25              4.5                324               81

           20                   0.20               4                  400               80

           24                    0.17              4.08              576              97.92

           27                    0.16              4.32              729             116.64

(a) P ( X = 18) = P(x) corresponding to X = 18 i.e. 0.25

     Therefore, P(X = 18) = 0.25

(b) P(X > 18) = 1 - P(X = 18) - P(X = 13) = 1 - 0.25 - 0.22 = 0.53

(c) P(X <= 18) = P(X = 13) + P(X = 18) = 0.22 + 0.25 = 0.47

(d) Mean of X, \mu = ∑X * P(x) ÷ ∑P(x) = (2.86 + 4.5 + 4 + 4.08 + 4.32) ÷ 1

                                                         = 19.76

(e) Variance of X, \sigma^{2} = ∑X^{2} * P(x) - (\sum X * P(x))^{2}

                                 = 412.74 - 19.76^{2} = 22.2824

(f) Standard deviation of X, \sigma = \sqrt{variance} = \sqrt{22.2824} = 4.7204 .

8 0
3 years ago
How many cubes with side length of 1/3 cm does it take to fill the prism?​
Vladimir [108]

9514 1404 393

Answer:

  120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

  5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

  4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

  2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

  V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

8 0
3 years ago
Other questions:
  • Sally needs 1 3/4 yards of fabric to make a dress. She has 4 5/8 yards. How many yards of fabric will be left over?
    8·1 answer
  • One factor of f(x) = x3 − 12x2 + 47x − 60 is (x − 5). What are the zeros of the function? NEED HELP.
    15·1 answer
  • 15 points!!! HELP. 4 Graph x - 2y &gt; 8
    5·1 answer
  • How do you draw a line of best fit on a scatter diagram
    7·1 answer
  • What is the surface area of the cube below?
    10·1 answer
  • Help me with this pls thank you
    11·1 answer
  • 11. At Price Chopper you are purchasing groceries and the bill comes out to be
    8·1 answer
  • $325 is borrowed from a bank that charges 4% interest compounded annually. How much is owed after 1 year, 3
    12·1 answer
  • Please need help 15 points
    9·1 answer
  • 1/2a+2/3b=50 when b=30?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!