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Svet_ta [14]
3 years ago
5

Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches,

25 inches, 95 Inches C. 45,45,80 D. 60, 45,75
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

8100= 2500+1225

8100≠3725

95²= 60²+ 25²

9025= 3600+ 625

9025≠4225

Therefore only D is the correct option

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3 years ago
Whats the congruence of these two triangles ? none ? sas ? asa ? or sss ?
Ket [755]

Answer:

choice #3) similar by SSS

The corresponding sides do have the correct ratios.

3 0
3 years ago
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7 0
3 years ago
The Length of a rectangle is 5 centimeters less than twice its width . The perimeter of the rectangle is 80cm. What are the dime
borishaifa [10]
Perimeter is the sum of all a shapes sides.

with that in mind, we know a rectangle has four sides. with 2 pairs being the same.

The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5

now to find the perimeter we do two times the width + two times the length.

2w + 2(2w -5) = 80.
Distribute: 2w + 4w - 10 = 80
Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.

with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.

2(15) - 5 = 30 - 5 = 25.

Slap on the units and width = 15 cm, length = 25 cm


7 0
3 years ago
Suppose A and B are independent events. If P(A)= 0.4 and P(B) = 0.85, what is P(A and B)?
dmitriy555 [2]

The value of the P(A∩B) is equal to 0.04.

We have given that,

P(A)= 0.4 and P(B) = 0.85.

We have to determine the  P(A and B)

<h3>What is the formula for Independent Events?</h3>

For Independent Events,

P(A) × P(B) = P(A∩B)

so we have, P(A∩B) = 0.4×0.1

P(A∩B) = 0.04

P(A') = 1 - 0.4 = 0.6

This information can be represented on a Venn diagram as shown below

P(A'∪B) means the union of everything that is not A with everything that is B

P(A'∪B) = 0.06 + 0.54 + 0.04

P(A'∪B) = 0.64

To learn more about the events visit:

brainly.com/question/25821071

#SPJ1

4 0
2 years ago
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