77 points :)
Which statements correctly use the properties of exponents to simplify? Check all that apply.

Answer:

1.x=45,2.x=16

Step-by-step explanation:

1.

x+90+45=180(Angles in an adjacent angle)

x=180-135

x=45

2.

7x=112(vertically opposite angle)

x=112/7

x=16

First question refers to the supplementary angle theorem.

To find x, we need to refer to the other angles around it and use it to subtract it from 180°.

90 + 45 + x = 180

135 + x = 180

x = 180 - 135

x = 45°

Second question refers to the vertical angles theorem, where it states that the angles that face in opposite directions are the same.

7x = 112

x = 112 ÷ 7

x = 16°

Answer:

2.75

Step-by-step explanation:

use a calculator

Hope this helps! :)

Answer:

1/14

Step-by-step explanation:

According to SOH CAH TOA;

Cos theta = adjacent/hypotenuse

Since theta = <J

Adjacent = 2

Hypotenuse = 28

Cos <J = adj/hyp

Cos<J = 2/28

Cos<J = 1/14

Hence the value of cosine J is 1/14

Answer: [tex]4:39, 5:03[/tex]

Step-by-step explanation:

Given

The yellow line leaves the station every 6 min

The red line leaves the station every 8 min

They both leave at [tex]4:15[/tex]

Both trains meet again after, LCM(6,8)=24 min

i.e. at

[tex]4:15+24=4:39\\4:39+24=5:03[/tex]

Answer:

I think the answer is graph B

1. C = x^4 + 3 = 0

2. A = (x − 3)^4 = 0

3. B = (x^2 − 3)^2 = 0

Answer:

Option A

Step-by-step explanation:

Use the Pythagoras Theorem

Hypotaneous² = base² + height²

BC² = AB² + AC²

BC = √ (AB² + AC²)

BC =  √ (12² + 16²)

BC = 20

Answer:

20

Step-by-step explanation:

Here's your solution

=> in a right angle traingle

BC^2 = AB^2 + AC^2

=> BC^2 = 16^2 + 12^2

=> BC ^2 = 256 + 144

=> BC^2 = 400

=> BC = √400

=> BC = 20

hope it helps

Answer:

133/10

Step-by-step explanation:

divide 160 and 12 then simplify your answer

The scale factor of the model is 0.075.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

We are given that Scale model of a building is 12 inches tall. The actual building is 160 feet tall.

First, we need to multiply 160 by 12 so that we have inches and inches

160 inches

Then divide 160 by 12 and that will give, 12 which is the scale factor

The scale factor is:

12/160=3/40

=0.075

Learn more about scale factor here:

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Answer:

Step-by-step explanation:

what is the shape ?

Answer:

95

Step-by-step explanation:

A triangle must always equal 180, so if you take the values of 15 and 70, you get 85.

Then, you take 180 and subtract 85.

This leaves you with 95

Hope this helps

Answer:

8 baseball cards were in each pack

Step-by-step explanation:

Since she has a total of 48 cards and each of the 6 packs had the same amount you would just do 48 divided by 6 which is 8. So there were 8 baseball cards in each pack

Answer:3

Step-by-step explanation:

The 6 fedoras expect if next 30 hats requested from Zoe's inventory, and She recently provided 20 different hats, including 4 fedoras.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The ratio of hats to fedoras = 20:4

Let's suppose Zoe's inventory, should expect to x fedoras

20/4   =  30/x

x = 30/5

x = 6

Thus, the 6 fedoras expect if next 30 hats requested from Zoe's inventory, and She recently provided 20 different hats, including 4 fedoras.

Learn more about the ratio here:

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The diameter of the new ball, to the nearest tenth of a centimeter, is 11.0cm

We have given that,

The surface area of a regulation spherical soccer ball is about 484π

square centimeters. If the diameter of the regulation ball is reduced by 50% to produce a new ball.

We have to determine,

The diameter of the new ball, to the nearest tenth of a centimeter.

The volume of a sphere = 4/3 × πr^3.

Therefore we get,

[tex]\frac{484}{50}= 11.0[/tex]

Therefore we get the diameter of the new ball, to the nearest tenth of a centimeter is 11.0cm.

To learn more about the diameter visit:

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Answer:

24 mm squared

Step-by-step explanation:

3 x 4 x 1/2 = area of the triangle

4 x 3 = area of the rectangular top left

1 x 6 = area of the bottom rectangle

3 x 4 = 12 x 1/2 = 6

4 x 3 = 12

6 x 1 = 6

6 + 12 + 6 =24

Answer:

For the 1st one: 63

For the second one: 99

Step-by-step explanation:

This is because to find the perimeter, you have to do length+length+width+width=area

So you do 77+77+x+x=280, this should get you x=63

For the second one, to find area you do length×width=area

So you do 59×x=5841 and should get 99.

Respuesta:

Volumen = 0.0010126 m³

Ancho = 7,84 N

Explicación paso a paso:

Dado que:

Masa, m de alcohol = 0,8 kg

Densidad del alcohol, d = 790 kg / m³

Recordar :

Densidad, d = masa, m / volumen, v

Volumen = masa / densidad

Volumen = 0,8 kg / 790 kg / m³

Volumen = 0.0010126 m³

Peso, W = densidad * aceleración debido a la gravedad * volumen

Ancho = 790 * 9,8 * 0,0010126

W = 7.8395

Ancho = 7,84 N

Answer:

9. Correct 12. Incorrect, it's D

Step-by-step explanation:

9. There is a 1:2 ratio of blue to red paint to create the shade of purple, so 6:12 would follow the 1:2 ratio so it's correct.

12. 6:14 can be simplified to 3:7 ratio. 8:16 doesn't follow 3:7 (it follows 1:2) so it can't be the right answer. 12:28 follows the ratio so it's right.

Answer:

It should be "there ARE 254 counties in texas..."

Step-by-step explanation:

is the wrong one it should be are

Step-by-step explanation:

Answer: 6336 ft.

Step-by-step explanation:

If you were asking what 1.2 miles equals in feet, your answer would be 6336 feet. Good luck on your test tomorrow!

Answer:

6336 feet

Step-by-step explanation:

each mile has 5280 feet. Simply multiply 1.2 by 5280 to get your answer

Answer:

127x10^-3

Step-by-step explanation:

0.127=

[tex]127 \times {10}^{ - 3} [/tex]

Answer:

8

Step-by-step explanation:

Yes

Answer:89

Step-by-step explanation:

Multiply 27 by 3, then add 8 to your answer and you get 89

Answer:

-9 and 3 are x

4 and -12 are y

x are 12 points away

y is 16 points away

Is this helpful?

Answer:20

Step-by-step explanation:

Answer:

Hello love the answer would be 2/10 or reduced 1/5

Answer:

A. 1/5

B. There is a 1/5 probability the spinner will land on green

Step-by-step explanation:

A. 2/10 simplified

B. I just put it into words

Answer:

g.  9−7+{−2+3−[4−2+(3+2)−7]+8} = 11

h. – {- [ (14 - 7) - (32 - 41)]} = +  16

i. – [(-8 + 3) + (- 21 – 12)] = + 38

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506

k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21

Step-by-step explanation:

These questions are solved by solving the small brackets, then square brackets and then the curly brackets.

g.  9−7+{−2+3−[4−2+(3+2)−7]+8}

=  9−7+{−2+3−[4−2+(5)−7]+8}     Solving inner  small brackets

= 9−7+{−2+3−[9−2−7]+8}            Solving outer square brackets

= 9−7+{−2+3−0 +8}                     Solving curly brackets

=9−7+{9}                        Adding like terms ( adding positive terms)

= 18-7

= 11

h. – {- [ (14 - 7) - (32 - 41)]}

= – {- [ (14 - 7) - (-9)]}                  Solving inner  small brackets

= – {- [ (7) +9]}                           Solving inner  small brackets

= – {- [ 16 ]}                              Solving outer square brackets

= – {-  16 }                                 Solving curly brackets

= +  16                                      (-*-= +)

i. – [(-8 + 3) + (- 21 – 12)]

= – [(-8 + 3) + (- 33)]            Solving inner  small brackets

= – [(-5 - 33)]                      Solving inner  small brackets

=– [( - 38 )]                              Solving outer square brackets

= + 38                                        (-*-= +)

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }

= 500 – {( 6 + 4 + 3 + 16  – 18 -10 – 2) – 5 }         Solving inner  small brackets

= 500 – {( 29  – 30) – 5 }                   Solving inner  small brackets

= 500 – {(  – 1) – 5 }               Solving inner  small brackets

= 500 – { – 6}                                Solving curly brackets

= 500  + 6                                        (-*-= +)

= 506

k. (9 + 7 – 2 + 4) – ( 9 -12 )

= (9 + 7 + 4– 2 ) – (  -3 )                        Solving inner  small brackets

= (20 – 2 ) – (  -3 )                                 Solving inner  small brackets

= (18 ) – (  -3 )                                           (-*-= +)

= 18   +3

=21

Answer:

Find the area of the circle then divide by two

Step-by-step explanation: