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4 years ago

Will the sides 7,10,16 form a triangle??

Mathematics

1 answer:

andre [41]4 years ago

5 0

Answer:no

Step-by-step explanation:

The lengths of 2 sides of a triangle cannot add up to be greater than the hypotenuse or the 3rd larger side :)

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<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x%2B3y%3D1%7D%20%5Catop%20%7B7x%2B3y%3D5%7D%7D%20%5Cright." id="TexF

Elena-2011 [213]

Answer:

(2, - 3)

Step-by-step explanation:

given the 2 equations

5x + 3y = 1 → (1)

7x + 3y = 5 → (2)

multiply all terms in (1) by - 1

- 5x - 3y = - 1 → (3)

add (2) and (3) term by term to eliminate the term in y

(7x - 5x) + (3y - 3y) = (5 - 1)

2x = 4 ( divide both sides by 2 )

x = 2

Substitute x = 2 in either (1) or (2) for corresponding value of y

(2) : 14 + 3y = 5 ( subtract 14 from both sides )

3y = - 9 ( divide both sides by 3 )

y = - 3

solution is (2, - 3)

5 0

3 years ago

On this graph, What is the area of the core? What is the area of the brown circles? What is the area of the orange circles? What

Ira Lisetskai [31]

That’s tufffffffffff

5 0

3 years ago

Read 2 more answers

F(x) =3x^2+8x-2 find f (-5)<br> please !! Show work if cannnn

Natasha2012 [34]

Answer:

113

Step-by-step explanation:

f(x) =3x^2+8x-2

f(-5) = 3*5^2+8*5-2= 3*25+ 40-2 = 75 +40 -2 = 113

6 0

3 years ago

The difference of two numbers is 21, and the smaller number is n. What is the other number.

Sindrei [870]

Answer:

Step-by-step explanation:

21+x

4 0

4 years ago

Find the measure of an angle whose supplement is six times its complement. Hint: The supplement and complement of an angle are (

sveticcg [70]

Let us translate the statements in the problem to mathematics equations

Let the angle is x degree

So its supplement is

$180^{\circ}-x$

And its complement is

$90^{\circ}-x$

Since the supplement is 6 times its complement, so Multiply the complement by 6 and equate the answer by the supplement

$180-x=6(90-x)$

Let us simplify the right side

$180\text{ - x = 6(90) - 6(x)}$ $180\text{ - x = 540 - 6x}$

Now let us solve the equation to find x

At first, add 6x to both sides to put x in the left side

$\begin{gathered} 180\text{ - x + 6x = 540 - 6x + 6x} \\ 180\text{ + 5x = 540} \end{gathered}$

Now subtract 180 from both sides to put the number in the right side

$\begin{gathered} 180\text{ - 180 + 5x = 540 - 180} \\ 5x\text{ = 360} \end{gathered}$

Divide both sides by 5 to get x

$\begin{gathered} \frac{5x}{5}=\frac{360}{5} \\ x=72^{\circ} \end{gathered}$

So the measure of the angle is 72 degrees

You can check the answer

180 - 72 = 108

90 - 72 = 18

18 * 6 = 108

So the supplement of 72 is six times its complement

3 0

1 year ago