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ad-work [718]
2 years ago
5

Determine if each scenario would produce more than one triangle, no triangle, or a unique triangle. Explain your reasoning for e

ach scenario.
A triangle has an angle measuring 90 degrees, and angle measuring 20 degrees, and an included side that is 6 units long.


A triangle with angles measuring 30 degrees, 60 degrees, and 90 degrees.


A triangle with side lengths 2 inches, 4 inches, and 7 inches.
Mathematics
1 answer:
weqwewe [10]2 years ago
7 0

Answer:

1. Right angle triangle, 2. One triangle, 3. No triangle

Step-by-step explanation:

1. Has a 90-degree angle which makes it a right-angle triangle.

2. 30 + 60 + 90 = 180 degrees. Hence it satisfies the angle sum property so it is a triangle, a right-angle triangle.

3. It does not form a triangle as it does not satisfy the triangle inequality property, which is the sum of the two smaller sides should be greater than the larger side. 2 + 4 = 6, which is smaller than 7.

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Evaluate 23x-1 for x = 1.
Fed [463]
Using the order of operations (PEMDAS)...

23 · 1 - 1 = ?
23 - 1 = ?
22

The answer is 22

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
7 0
3 years ago
Which of the following is the weight of the cargo in a truck if 1/3 of the weight is 516 Ibs?
Anni [7]

Answer:

1548 lb

Step-by-step explanation:

Let the truck's weight be w.

Then (1/3)w = 516 lb

Solve for the truck's weight by multiplying both sides of this equation by 3:

w = 1548 lb (Answer B)

8 0
3 years ago
Please help, I will mark!!
Alik [6]

Answer:

d=28.28

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

a^{2} +b^{2} =c^{2} a is the height, b is the base, and c is  

the hypotenuse.

To obtain the value of the hypotenuse

c= \sqrt{a^{2} +b^{2} }

To find the value of the lenght of the diagonal d across the square, we have:

d=\sqrt{a^{2} +b^{2} } Where a = b = 20

Substituting the values

d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284

Round the answer to 2 decimal places

d=28.28

6 0
3 years ago
Triangle A C B is shown. Angle A C B is a right angle. Altitude h is drawn from point C to point D on side A B, forming a right
monitta

Answer:

Answer B.) \sqrt[2]{70}

6 0
3 years ago
Read 2 more answers
Oduct of (x2 + 3)(x - 5).
Zanzabum

Answer: 2x^2-7x-15

Step-by-step explanation:

reorder the terms (x*2+3)*(x-5)

multiply the parentheses

(2x+3)*(x-5)

collect like terms (2x^2-10x+3x-15)

product= 2x^2-7x-15

8 0
3 years ago
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