How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)

Answer:

9. 66°

10. 44°

11. [tex]2\sqrt{7}[/tex]

12. [tex]2\sqrt{3}[/tex]

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = [tex]\sqrt{28}[/tex]

a = [tex]2\sqrt{7}[/tex]

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = [tex]\sqrt{12}[/tex]

a = [tex]2\sqrt{3}[/tex]

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = [tex]\frac{20}{x}[/tex]

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = [tex]\frac{x}{18}[/tex]

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

Answer:

Jeffrey grew 1/8 inch more than his brother

Step-by-step explanation:

5/8 - 1/2 = 5/8 - 4/8 = 1/8

Answer:

[tex]\frac{5}{4}[/tex] [tex]or[/tex] [tex]1.25[/tex]

Step-by-step explanation:

[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]?[/tex]

[tex]\frac{5}{8}[/tex] = [tex]0.625[/tex]

[tex]\frac{1}{2}[/tex] = [tex]0.5[/tex]

[tex]\frac{0.625}{0.5}[/tex] = [tex]\frac{5}{4}[/tex]

[tex]Therefore,[/tex] [tex]\frac{5}{4}[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]

Hope this helps! <3

Answer:

True

Step-by-step explanation:

Given

In JKL, we have:

[tex]\angle J = 27[/tex]

[tex]\angle K = 90[/tex]

In WXY, we have:

[tex]\angle Y = 63[/tex]

[tex]\angle X = 90[/tex]

Required

Is JKL ~ WXY?

In both triangles, we already have one similar angle (90)

Next, is to determine the third angles in both triangles.

In JKL

[tex]\angle J + \angle K + \angle L = 180[/tex]

We have that:

[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]

The expression becomes:

[tex]27 + 90 + \angle L = 180[/tex]

[tex]117 + \angle L = 180[/tex]

[tex]\angle L = 180-117[/tex]

[tex]\angle L = 63[/tex]

In WXY

[tex]\angle W + \angle X + \angle Y = 180[/tex]

We have that:

[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]

The expression becomes:

[tex]\angle W + 63 + 90 = 180[/tex]

[tex]\angle W + 153 = 180[/tex]

[tex]\angle W = 180-153[/tex]

[tex]\angle W = 27[/tex]

The three angles in JKL are:

[tex]\angle J = 27[/tex]    [tex]\angle K = 90[/tex]   [tex]\angle L = 63[/tex]

The three angles in WXY are:

[tex]\angle W = 27[/tex]   [tex]\angle X = 90[/tex]   [tex]\angle Y = 63[/tex]

By comparing the angles, we can conclude that  both triangles are similar because of AAA postulate (Angle-Angle-Angle)

Answer:

Step-by-step explanation:

Answer: C

Step-by-step explanation: 45 divided by 18 is 2.5

Answer:

see pdf

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/5 is the same as 4/10

Step-by-step explanation:

The answer is on the bottom if you just wanna scroll down.

The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate  y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!

Answer:

y+5=5/2(x-5)

Hope this helps! (If it's wrong, plz leave sum comments. thx lol)

Answer:

The equation of the circle having centre (-5,-9) and radius r=3  is

x² + 10 x +y² + 14 y + 65 = 0

Step-by-step explanation:

Explanation:-

From graph  The centre of the circle  C( -5 , -7)

The radius of the circle r = 3cm from the centre of the given circle

The equation of the circle



From graph the centre ( h, k) = ( -5,-7) and r = 3cm

                 [tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]

                x² + 10 x +25 +y² + 14 y + 49 =9

              x² + 10 x +25 +y² + 14 y + 49 -9=0

 The equation of the circle

                x² + 10 x  +y² + 14 y + 65 = 0  



Answer:

It will be 64 cubes.

Step-by-step explanation:

if one side is 8 inches then 8/2 is 4

to fill one face, 4 × 4 = 16

to fill a cube 16 × 4 = 64

Answer: 64 cubes will fit

Answer:[tex]\frac{1}{2}[/tex]x or x/2

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

To find the original price, divide 63 by 0.7:

63/0.7

= 90

So, the original price is $90

Answer:

$90.00

Step-by-step explanation:

First of all let x be the price of the pair of shoes that you are trying to find.

next since we have 30percent off that price we have

x - 0.30x = 0.70x

which in turn is equal to 63 dollars

so our expression is

0.70x = $63

x = 63 / 0.70

= $ 90.00

Answer: a or d

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3 * 1/4 = 3/4

Which answer shades 3 out of 4 blocks? A.

Answer:

the answer is A

Step-by-step explanation:

3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar

Answer:

13

Step-by-step explanation:

Just replace x with 10, so F(10) = 10/2 + 8. Which is 5 + 8.

Answer:

30

Step-by-step explanation:

3 + (6 * 4) + 3 = 30

hope this helps

Answer:

IN THIS ORDER

NO

NO

YES

YES

NO

YES

Step-by-step explanation:

Hope this helped if I got it wrong, sorry ill edit it if I did :)

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

How do you round to the ones place?

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

Answer:

Step-by-step explanation:

do u mean round to the nearest 10th as in one decimal place or to the nearest  one not decimal place?

Answer:

The correct answer is B ; Karla must determine the area of a floor in her house.

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

Answer:

I honeslty dont know I just need points to answer a question

Step-by-step explanation:

hope you find the answer youre looking for!

Answer:

2 mi = 10560 ft

Step-by-step explanation:

you coulve searched it up

Answer:

you multiply it by 2 so its 10560

Answer:

CD = 5

Step-by-step explanation:

Given that ∆ACB is congruent to ∆DCE, it follows that their corresponding angles and corresponding side lengths are congruent to each other. Thus:

AC is congruent to CD,

BC is congruent to EC, and

AB is congruent to DE.

Since AC = 5, therefore CD = 5.

Answer:

<

Step-by-step explanation:

8/11=0.72727272727272727272727272 just repeated over and over again so its less

Answer:

b

Step-by-step explanation:

Answer:

A. 0.4 km

B. 48 fruits to 12 vegetables

C. 72 hours

60%

Step-by-step explanation:

1 km = 1000 m

You have 400 m

1000m/1km = 400m/1000m

400/1000

0.4km

4:1

Ok so an easy way to do this one is multiplication.

you need the number of fruits to be 4 times more than the number of vegetables.

A would be 2:1 because 16 is 2 times more than 8

B would be 4:1 because 48 is 4 times more than 12

C would be 8:1 because 24 is 8 times more than 3

D would be 3:1 because 60 is 3 times more than 20

B would be the correct answer

If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.

216/3

72 hours

The tigers won 12 of their last 20 games.

12/20

0.6

Percent is 100 times the decimal.

0.6*100

60%

Don't be afraid to reach out with any more questions! I hope this helps!