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ad-work [718]
3 years ago
6

Determine whether a triangle with given side lengths will be a right triangle?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
4 0

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

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Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 50
denpristay [2]

Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500

Step-by-step explanation:

Given that :

Null hypothesis : H0 =500

Alternative hypothesis : Ha < 500

Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.

Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.

6 0
3 years ago
1. ∠ PRS and ∠ RPQ are right angles
Blababa [14]

Answer:

Given : PS = QR

            ∠PRS = ∠RPQ

            PR = PR (On the same base)

Proof / Reason :

∠PRS = ∠RPQ (R)

PS = QR          (H)

PR = PR           (S)

Therefore, Triangle PRS is congruent to Triangle RPQ

∠PSR = ∠RQP     By  C.P.C.T. ( Congruent Parts Of Congruent Triangles)

Thanks!


7 0
3 years ago
Read 2 more answers
Find angles X and Y for the question
Sav [38]

Answer:

x = 129

y = 82

Step-by-step explanation:

x + 51 = 180

x = 180 - 51

x = 129

y + 51 + 47 = 180

y = 98 - 180

y = 82

3 0
2 years ago
Read 2 more answers
In how many minutes will a heart beat in 140 times?
matrenka [14]
The answer is 5 minutes
7 0
3 years ago
Read 2 more answers
What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units
Butoxors [25]

The area of the considered triangle RST is given by: Option A: 9 sq. units.

<h3>How to find the area of a triangle?</h3>

If we have:

  • Length of its base = b units
  • Its height = h units long,

Then we get:

Area of a triangle = \dfrac{b \times h}{2} \: \rm unit^2

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = \dfrac{6 \times 3}{2} = 9 \: \rm unit^2

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

brainly.com/question/14503701

6 0
2 years ago
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