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4 years ago

I need the answers to 11 12 and 13

Mathematics

1 answer:

kodGreya [7K]4 years ago

7 0

Answer:

11. x= 117 and y =57

12. 9

13. 900 degrees

Step-by-step explanation:

11. Y can be found using supplementary angles. 123+y = 180 since they form a straight line. This means y=57. The inside of a quadrilateral is equal to 360 degrees. This means 117+69+57 +x=360. Then 243+x=360 and x= 117.

12. The exterior angles of a polygon with n sides is 360/n. Since we don't know n but we do know the angle is 40 degrees, we write 360/n=40. Solve for n.

360/n=40

360=40n

360/40=n

n= 9

13. This figure is a regular sides polygon. It has 7 sides and therefore 900 degrees.

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The sum of 2 numbers is 65 and the difference is 7

Dahasolnce [82]

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>The sum is x + y = 65

The difference is x - y = 7 .....x = 7 + y

7 + y + y = 65

7 + 2y = 65

2y = 58

y = 29

x + y = 65

x + 29 = 65

X = 36

The Sum: 36 + 29 = 65

The Difference: 36 - 29 = 7

hope this helps,have a great day!!

~Pinky~

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3 years ago

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UNO [17]

Answer:

$\huge\boxed{\text{B) 4}}$

Step-by-step explanation:

We can use the properties of some of these circles to solve and find the value of x.

FIrst off - we know that to find the side of a right triangle we can use the Pythagorean Theorem, which states that $a^2 + b^2 = c^2$ (a and b being legs, c being the hypotenuse.)

<h2><u>Finding the hypotenuse</u></h2>

We also know that this triangle is in a circle. Part of the hypotenuse and the altitude of the triangle are in the circle.

Point W is the center of the circle. Therefore, any points stretching to the edge from it will be equal (since this is a circle).

With this knowledge - UW and WZ are equal.

Therefore, since UW is $x-1$ , WZ will be too.

We also know the length of VZ. We can add this to WZ to find the length of the whole hypotenuse.

$\displaystyle x-1+2 \\ x+1$

So the length of the hypotenuse, WV, is $x+1$ .

<h2><u>Finding the value of x</u></h2>

Now that we know the length of the hypotenuse, we can use the Pythagorean Theorem like we stated before to find the value of x.

We know the two legs are $x-1$ and $2x-4$ , while the hypotenuse is

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$5x^2 - 18x + 17 = x^2 + 2x + 1$ (simplify the left side)
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$x = \frac{{ -b \pm \sqrt {b^2 - 4ac} }}{{2a}}$ (Quadratic formula)
$\frac{{ -(-20) \pm \sqrt {(-20)^2 - 4 \cdot 4 \cdot 16} }}{{2 \cdot 4}}$ (plug in values from equation)
$\frac{{ 20 \pm \sqrt {400 - 256} }}{8}}$ (simplify)
$\frac{{ 20 \pm \sqrt {144} }}{8}}$ (simplify)
$\frac{{ 20 \pm 12 }}{8}}$ (simplify)
$\displaystyle x = \frac{20+12}{8} \ \text{and} \ \frac{20-12}{8}$ (use plus/minus to find two roots)
$\displaystyle x = \frac{32}{8} \ \text{and} \ \frac{8}{8}$ (simplify)
$\displaystyle x = 4 \ \text{and} \ 1$

1 can not be a possible answer because UW would end up being $(1-1) = 0$ units long! This isn't possible!

Therefore, the correct answer would be B) 4.

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