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3 years ago

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]3 years ago

8 0

Answer: 1

Only one triangle can be drawn to fit the description.

Brums [2.3K]3 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 sum of two consecutive even integers is 18. Write an equation to find the integers.

sdas [7]

Answer: 8 and 10 Step-by-step explanation: Consecutive means right beside. For example, the consecutive of 4 is 5 and 3. Since it's asking for EVEN integers, you need to add 2 to the x... for example, the nearest consecutive even number to 4 is 6 (you add 2). Then, solve like normal!

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3 years ago

400 students went on a field trip. Six buses were filled and 34 students traveled in cars. How many students were in each bus? H

polet [3.4K]

Answer:

Step-by-step explanation:

first subtract the 34 students that went with a car then divide 366 ÷ 6=61

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366÷ 6=61

Hope this helps :)

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3 years ago

Twelve people ordered calculators. The least expensive was $5.95 and the most expensive was $12.95. Half ordered a $9.95 calcula

hichkok12 [17]

Answer:

Round up all costs

Least expensive: $6

Most expensive: $13

Half (half of 12 people is 6) ordered $10 calculators so 6x10=$60

Other half

(6+13)/2= $9.5 round up to $10 so 6x10=$60

$60 + 60=$120 best estimate $125

Step-by-step explanation:

4 0

3 years ago

The perimeter of a rectangle is represented by

MissTica

The perimeter of a rectangle is represented by 4x^2 + 5x − 2. The perimeter of a smaller rectangle is represented by x^2 + 3x + 5. Which polynomial expression BEST represents how much larger the first rectangle is than the smaller rectangle?

A) 3x^2 + 2x − 7

B) 3x^2 + 2x − 3

C) 3x^2 + 8x + 3

D) 5x^2 + 8x − 7

<h3><u>Answer:</u></h3>

Option A

The polynomial expression best represents how much larger the first rectangle is than the smaller rectangle is $3 x^{2}+2 x-7$

<h3><u>Solution:</u></h3>

Perimeter of a rectangle is represented by 4x^2 + 5x − 2

Perimeter of a smaller rectangle is represented by x^2 + 3x + 5

To Find : Polynomial expression that represents how much larger the first rectangle is than the smaller rectangle.

Which means we have to find difference between perimeter of both rectangles

Subtract the equation of perimeter of smaller rectangle from equation of perimeter of a larger rectangle

Difference = perimeter of a larger rectangle - perimeter of smaller rectangle

$\text {Difference }=\left(4 x^{2}+5 x-2\right)-\left(x^{2}+3 x+5\right)$

On removing the brackets we get,

$\begin{array}{l}{\text { Difference }=4 x^{2}+5 x-2-x^{2}-3 x-5} \\\\ {\text { Difference }=3 x^{2}+2 x-7}\end{array}$

Thus option A is correct

8 0

3 years ago

Given that 2x + 7 = 27 and 3x + 1 = 28, does 2x + 7 = 3x + 1

strojnjashka [21]

No cause 2x +1 =26 so bye Felicia

5 0

3 years ago

Read 2 more answers