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3 years ago

What is the value of x

Mathematics

1 answer:

Oksana_A [137]3 years ago

6 0

Answer:

Split it into two triangles at the 110 degree angles. Each triangle needs to add up to 180 degrees. If there are two triangles, total should be 360 degrees. So the whole figure should have 360 degrees. 110+110+70 = 290 degrees. 360-290 = 70 degrees. 70/5 = 14 degrees.

There is also congruence between the triangles through which we can assume 5x will equal 70 degrees.

The type of figure it is also means the angles will be the same on opposite sides

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Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ <em>the bottom of the integral is -2 </em>

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or

lara31 [8.8K]

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $ $\dfrac{2.35}{11}$ .

For finding the cost of 18 oranges, multiply 18 by $ $\dfrac{2.35}{11}$ such that,

$C=18\times \dfrac{2.35}{11}\\\\C=3.84$

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

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2 years ago

A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?

tia_tia [17]

Hello there!

To find which tuna is a better deal, divide the cost by the number of ounces of tuna you are getting to get the cost per ounce.

$0.90/5 = $0.18 per ounce

$2.40/12 = $0.20 per ounce

Since the 5-ounce can of tuna has a cheaper unit rate price, meaning you are getting a better value, makes this the best option. I hope this was helpful and have a great day! :)

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2 years ago

Read 2 more answers

Which expression is equivalent to (3-5x)(3+5x)

Levart [38]

I think the answer is 9-25x

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3 years ago

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Pavlova-9 [17]

Answer

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