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3 years ago

Use the image below to answer the following question. What relationship do the

Mathematics

1 answer:

Ivan3 years ago

4 0

Answer:

A. Ratios are both identical

Step-by-step explanation:

sin x = 3/5

cos y = 3/5

hope it helps

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Tell me which 4 letters are right! A? B? C? D? F? E? I WILL GIVE BRAINLIEST

Helen [10]

Answer:

Everything but A and C

Step-by-step explanation:

5 0

2 years ago

I'LL FRIEND IF YOU ANSWER THIS what is 32(14+17x)/4-12 simplified

meriva

Answer:

136x+100

Step-by-step explanation:

$\dfrac{32(14+17x)}{4}-12= \\\\\\8(14+17x)-12= \\\\\\136x+112-12= \\\\\\136x+100$

Hope this helps!

3 0

3 years ago

Read 2 more answers

Does anybody know the correct answer to this?

olganol [36]

Answer:

sin(X) = 4/5
cos(X) = 3/5
tan(X) = 4/3

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relations between sides and trig functions in a right triangle.

Sin(X) = Opposite/Hypotenuse = 24/30 = 4/5

Cos(X) = Adjacent/Hypotenuse = 18/30 = 3/5

Tan(X) = Opposite/Adjacent = 24/18 = 4/3

_____

You may be expected to leave the trig ratios in the original unreduced form.

4 0

2 years ago

Can someone tell me the slope ?

borishaifa [10]

Answer:

slope = 4

Step-by-step explanation:

We can find the slope of a line when knowing 2 points by using the slope formula, $\frac{y_2 - y_1}{x_2 - x_1}$ . $x_1$ and $y_1$ represent the x and y values of the first point, respectively. $x_2$ and $y_2$ represent the x and y values of the second point, respectively.

The two points we have are (2,8) and (0,0). So, in this case, $x_1$ = 2, $y_1$ = 8, $x_2$ = 0, and $y_2$ = 0. Let's substitute those values into the formula and solve to get the slope:

$m =$ $\frac{0-8}{0-2}$

$\frac{-8}{-2}$

$4$

So, the slope is 4.

3 0

3 years ago