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lesya692 [45]
3 years ago
11

Can a triangle have sides with the given lengths? Explain. 3 ft, 6 ft, 16 ft

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

no

Step-by-step explanation:

The givens lengths are too steep for the triangle to be closed, therefore it cannot be a triangle

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X+78=3x-2 <br> ..................
photoshop1234 [79]

Answer:

x=40

Step-by-step explanation:

x+78=3x-2\\\mathrm{Subtract\:}78\mathrm{\:from\:both\:sides}\\x+78-78=3x-2-78\\x=3x-80\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\x-3x=3x-80-3x\\\\

-2x=-80\\\frac{-2x}{-2}=\frac{-80}{-2}\\x=40

6 0
3 years ago
The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
kap26 [50]

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

4 0
3 years ago
Read 2 more answers
the hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh
Nuetrik [128]

Keywords:

<em>System of equations, variables, hardcover version, paperback version, books </em>

For this case we must construct a system of two equations with two variables. Let "h" be the number of hardcover version books, and let "p" be the number of paperback version books. If the hardcover version of a book weighs 7 ounces and the paperback version weighs 5 ounces, to reach a total of 249 ounces we have:

7h + 5p = 249 (1)

On the other hand, if there are Forty-five copies of the book then:

h + p = 45 (2)

If from (2) we clear the number of books paperback version we have:

p = 45-h

As each paperback version book weighs 5 ounces, to obtain the total weight of the paperback version books, represented by "x" in the table shown, we multiply5 * p = 5 (45-h)

So, x = 5 (45-h)

Answer:

x = 5 (45-h)

Option D

8 0
3 years ago
Read 2 more answers
What are corresponding angles<br>​
Ratling [72]

Answer:

Corresponding angles are equal. They're a F shape and it could be upside down.

8 0
2 years ago
What is the slope of the equation y = 3x + 2?
Softa [21]

Answer:

3

Step-by-step explanation:

the equation is y=mx+b

m=slope

so then 3 would be the slope

hope this helps :3

if it did pls mark brainliest

7 0
3 years ago
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