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Lemur [1.5K]
2 years ago
10

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many triangles can be drawn that fit this description?

Mathematics
2 answers:
Ann [662]2 years ago
8 0

Answer: 1

Only one triangle can be drawn to fit the description.

Brums [2.3K]2 years ago
5 0

It's a goofy question.  These sides satisfy the triangle inequality, 7 < 4+5, so we can draw as many triangles as we care to with those sides.

The more interesting question is how many non-congruent triangles can we draw with those sides?   The answer is only 1, because by SSS all triangles with those sides will be congruent.

If we're asking about how many triangles with these sides cannot be mapped to each other through translation and rotation, the answer is two, basically a pair of reflected copies.

So much for deconstructing this lousy question.  Let's go with

Answer: 1

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The graph of a linear function is shown on the grid
monitta

Answer: Choice A

y + 1 = -3(x+2)

=============================

Explanation:

Let's look through the answer choices.

Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.

With choice A, the slope is negative and choice B has a positive slope.

The answer must be choice A because the line is going downhill as we move from left to right.

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A common method is to pick two points on the line and compute the slope using the slope formula

m = (y2-y1)/(x2-x1)

Once you know the slope, you would use point slope form

y - y1 = m(x - x1)

4 0
2 years ago
What is the common denominator of 1/a + 1/b in the complex fraction (1/a - 1/b)/(1/a + 1/b)?
mezya [45]

For this case we have the following fraction:

\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}

To find the common denominator, what we must do is rewrite the fraction.

For this, we subtract fractions in the numerator and the sum of fractions in the denominator.

We have then:

\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}

We observe that the common denominator is given by the product:

ab

Answer:

the common denominator is:

D)ab

7 0
3 years ago
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astra-53 [7]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let's test these values using the Pythagorean Theorem.

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where a and b are the legs and c is the hypotenuse.

a and b are the legs, or the shorter sides. 5 and 12 are the shorter sides, so they are a and b.

c is the hypotenuse, or the longest side. 14 is the longest side, so it is c.

5^2+12^2=14^2

Evaluate all the exponents

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169\neq196

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3 years ago
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Answer:

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