the number of significant digits for 5,000.06 is

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since one alternate interior angle measures 60 degrees,

the other alternate interior angle must also measure 60 degrees.

Answer:

169/16

Step-by-step explanation:

13/4

what is a square at first

a square is the result of multiplying a number by itself

so the square of 13 will be 169

and the square of 4 will be 16

so easy...bingo

Answer:

Utility's percent Change from 2010 to 2020 = 7%

Step-by-step explanation:

Jobs available at the utility industry in 2010= 428.5 thousand

Average rate of decline = 3 thousand

Years between 2010 and 2020

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

Total change in jobs:

There are 10 years between 2010 and 2020

Jobs decline at an average of 3 thousand per year

Total change in jobs= 10 years × 3 thousand

= 30 thousand

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

= 30 thousand / 428.5 thousand × 100

= 0.07 × 100

= 7%

Utility's percent Change from 2010 to 2020 = 7%

[tex] &#128075 [/tex] Hello ! ☺️

Step-by-step explanation:

[tex] 103 = - 7(x + 8) + 7(x + 7) [/tex]

[tex] 103 = - 7x - 56 + 7x + 49 = 0x + 7 [/tex]

0x= 7 => x ∉ |R

[tex]\boxed{\color{gold}{S = ∅}} [/tex]

Jamie is right.

* Any number multiplied by 0 gives 0.

Answer:

[tex]\frac{1}{64}[/tex]

I hope this helps!

Answer:

1/64

Step-by-step explanation:

mentally calculated

no explanation

Answer:

I'm a bit rusty. But try 58x +21

Hope I helped you.

Answer:

I would assume it would be 12h+6k

Answer:

Step-by-step explanation:

Use distributive property

a(b+c) = a*b + a*c

3(4h + 2k) = 3*4h + 3 *2k

                  = 12h + 6k

Answer:

Alan buys 12.05 ounces of sour patch kids candy in all.

Step-by-step explanation:

We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.

And we have to find the total ounces he buys in all.

As we know that for finding the total quantity or amount, we will use addition for calculating it.

Firstly, Alan buys = 5.3 ounces of sour patch kids candy

Additional ounces of sour patch kids candy Alan buys = 6.75

So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75

                                                                                                   = 12.05 ounces

Hence, he buys 12.05 ounces in all.

Answer:

a) By multiplying   the length of the shadow of the tower to the ratio of the height of the exposed pencil placed in the ground to the length of the  pencil's shadow the height of the tower can be found

b) Height of the tower = Level to which the clinometer was raided + length of the shadow of the tower × tan (Angle of elevation of the top of the tower)

Step-by-step explanation:

a) The steps to measure the length of height of the tower using similar triangles are as follows;

Whereby the ground over which the tower is located is flat, place the pencil in the ground and ensure that it is upright and standing on its own

1) Measure the length of the shadow of the pencil

2) Measure the height of the exposed (above the ground) pencil

3) Find the ratio of the height of the exposed pencil to the length of the  pencil's shadow

4) Measure the length of the shadow of the tower

5) Multiply the length of the shadow of the tower to the ratio of the height of the exposed pencil to the length of the  pencil's shadow to find the height of the tower

b) To measure the height of the tower by trigonometry and the materials they have, we have;

1) Measure the length of the shadow of the tower using the measuring tape. Record the length as l

2) From the end of the length of the shadow of the tower, measure the angle of elevation of the top of the tower using the clinometer. Record the angle of elvation as θ

3) Measure the distance from the ground the clinometer was raised to measure the height of the shadow and record it as H₁

The height of the tower can then be found by the following formula;

Height of the tower, h = H₁+ length of the shadow of the tower × tan(θ)

h = H₁ + l × tan(θ)

Answer:

t = 1

Step-by-step explanation:

16=17-t

Subtract 17 from each side

16-17=17-17-t

-1 = -t

Multiply each side by -1

1 = t

Answer:

move 17 to the other side and subtract it from 16 leaving u with -1=-t and the divide it by -1 leaving you with t=1

Step-by-step explanation:

lets say for the first transformation x=1 and y=2

the transformation results in quadrant 2 (originating in quadrant 1) telling us it was a 90° counter-clockwise turn

for the second transformation we can let x=3 and y=4

transformation 2 results in quadrant 3 (originating in quadrant 1) telling us it was a 180° counter-clockwise turn

HOPE THIS HELPS!!!! :)

<333333333

Answer:

Beto and Mark

Step-by-step explanation:

To know which of the equations written by the four students has no solution, let's try to solve each.

Beto's equation:

[tex] 3m = 3m + 5 [/tex]

[tex] 3m - 3m = 3m + 5 - 3m[/tex]

[tex] 0 = 5 [/tex] (This is incorrect. 0 ≠ 5. This is not a solution)

Lila's Equation:

[tex] 9r + 4 = 4 + 9r [/tex]

[tex] 9r + 4 - 9r = 4 + 9r - 9r [/tex]

[tex] 4 = 4 [/tex] (this is correct)

Mark's equation:

[tex] 6 - n = -n + 2 [/tex]

[tex] 6 - n + n = -n + 2 + n [/tex]

[tex] 6 = 2 [/tex] (incorrect. 6 ≠ 2)

Wanda's Equation:

[tex] 8u - 2 = 2u + 8 [/tex]

[tex] 8u - 2 + 2 = 2u + 8 + 2 [/tex]

[tex] 8u = 2u + 10 [/tex]

[tex] 8u - 2u = 2u + 10 - 2u [/tex]

[tex] 6u = 10 [/tex]

[tex] \frac{6u}{6} = \frac{10}{6} [/tex]

[tex] u = \frac{5}{3} [/tex]

If you plug in the value of u into the original equation, the equation would be balanced. Therefore, this is a solution.

Beto and Mark we equations that have no solution.

Answer:

-49z^5

Step-by-step explanation:

(−7z^ 4 )(7z)

Multiply the numbers together

-7*7 = -49

Add the exponents

z^4 * z = z^4  * z^1 = z^(4+1) = z^5

Put back together

-49z^5

Answer:

8:5

Step-by-step explanation:

there are 25 girls, and 40 boys, so you find the common factor between them,which is 5 and divide each number by 5.

25/5=5 girls

40/5=8 boys

so the ratio of boys to girls is 8:5

Answer:

a = 80

b = 310

c = 96

Step-by-step explanation:

1)

20 + a + a = 180

2a + 20 = 180

2a = 160

a = 80

2)

180 - 65 - 65 + b = 360

b + 50 = 360

b = 310

3)

52 + c + 32 = 180

c + 84 = 180

c = 96

Answer:

Its c

Step-by-step explanation:

I answered this same question Heh. Its c because you have to collect the data in order to record the growth of each plant.

Answer:

2 real number solutions.

Step-by-step explanation:

You check the value of the discriminant b^2 - 4ac.

Here it = (-10)^2 - 4*2* 6)

= 100 - 48

= 52. (Positive)

This means that it has 2 real number solutions.

If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.

Answer:

i think its 2 real number

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

Answer:

It is 39 cupcakes.

Since he charges $2 per cupcake (39), it is 78.

He makes profit so subtract 30 from 78 and you get $48.

Answer:

39

Step-by-step explanation:

BUT WHERE IS EQUATIONS. THEN HOW CAN I HELP YOU.???

Answer:

119 degrees

Step-by-step explanation:

as the straight line has an angle of 180 degrees and we already know that a part of it is 61 degrees so we just subtract 61 from 180 and the answer we receive is 119

Answer:

=−17265

Step-by-step explanation:

(−5)3(125)−1515−125

=−17265

Answer:

-125

Step-by-step explanation:

Answer:

4hrs 33mins

Step-by-step explanation:Speed = 11m/min

Total distance=500miles*6=3000miles

Total time= 3000miles/11m/min=273minutes = 4hrs 33mins

Answer:

240m²

Step-by-step explanation:

1/2bh

1/2(16)(30)

240m²

Answer:

[tex](f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)[/tex]

Step-by-step explanation:

Answer:

(x+3)(2x+3)

Step-by-step explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer:

(x + 3)(2x + 3)

Step-by-step explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

                    = 2x ( x + 3) + 3( x + 3)

                      = (x +3)(2x + 3)                

Answer:

120, 68, 72, 36, 32, 41, 31 (Left to right, top to bottom)

Step-by-step explanation:

When looking at the tree, we start from left to right. That means the numbers on the left are larger and get smaller as we move to the right. The very first one on the left is 120 since there are 120 in the theater.

We know that 72 are female so we can put that in the lower bubble of the second column. From this information, we can find the # of males.

140-72=68. We can put 68 in the upper bubble of the second row.

We can first finish the male side with ice cream. We know 36 purchased ice cream which goes in the top bubble on the right. Now we subtract to find the remainder. 68-36=32. 32 goes right below 36

Now we go to the female side. 41 bought ice cream. This goes in the one 3rd down on the right. 72-41=31. 31 goes right  below 41

Answer:

There are 120 people (both male and female)

48 male =  36 bought ice cream

                  12 without an ice cream

72 female = 41 bought ice cream

                    31 without ice cream

Hope it helps :>

Arrange the terms in ascending order.

9.356 ,  9.376 ,  9.543 ,  10.459

The mean of a set of numbers is the sum divided by the number of terms.

9.6835

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

9.4595

Answer:

just use the formula

Answer:

-71

Step-by-step explanation:

(M+3)/4=-17

M+3=-17*4

M+3=-68

M=-68-3

M=-71