Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, but does not want to put the Steelie and the Tiger next to one another. In how many ways can she do this?

Answer: 145

Step-by-step explanation:

145 degrees

The measure of angle ∠2 in the triangle is 145.

Option D is the correct answer.

We have,

From the figure,

The s and t lines are parallel.

The l and m lines are parallel.

Now,

∠1 and ∠a are corresponding angles.

∠b and ∠a are corresponding angles.

This means,

∠1 = ∠a = ∠b = 35

Now,

∠2 and ∠b add up to a straight angle.

This means,

∠2 + ∠b = 180

∠2 + 35 = 180

∠2 = 180 - 35

∠2 = 145

Thus,

The measure of angle ∠2 is 145.

Learn more about corresponding angles here:

https://brainly.com/question/1597341

#SPJ4

Answer: 6

Step-by-step explanation:

From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records ​60% more songs than they expect to put on the CD. Therefore, the total songs will be:

= 15 + (60% × 15)

= 15 + (0.6 × 15)

= 15 + 9

= 24 songs.

During the editing​ process, ​75% of the songs are removed. The total number of songs that will be there on the final​ CD will be:

= 24 - (75% × 24)

= 24 - (0.75 × 24)

= 24 - 18

= 6

6 songs will be there on the final CD.

Answer:

21

Step-by-step explanation:

You fottt

Answer:

4.5

Step-by-step explanation:

I think it will work if you Divide 54 over 12 = 4.5

Answer: 5x - (-1)

Step-by-step explanation:

Answer:

-5x-1

Step-by-step explanation:

First combine like terms

-9x-8+4x+7 combine -9 and 4

-5x-8+7 then combine -8 and 7

-5x-1

Answer:

x=0.9

Step-by-step explanation:

4x+9

7

3

=

3x

0.5

Step 1: Cross-multiply.

4x+9

7

3

=

3x

0.5

(4x+9)*(0.5)=3x*(

7

3

)

2x+4.5=7x

Step 2: Subtract 7x from both sides.

2x+4.5−7x=7x−7x

−5x+4.5=0

Step 3: Subtract 4.5 from both sides.

−5x+4.5−4.5=0−4.5

−5x=−4.5

Step 4: Divide both sides by -5.

−5x

−5

=

−4.5

−5

x=0.9

Answer:

x=0.9

Answer:

The radius of the circle is 1.

Step-by-step explanation:

The way to find the radius of a circle is to divide the diameter by 2.

Answer:

1

Step-by-step explanation:

Answer:

1. (-3,2) and (-1,2)

Step-by-step explanation:

Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is

So the coordinates become:

Correct option is the first one

Answer:

35.75%

Step-by-step explanation:

Given that:

Markdown % = 45%

Additional percentage off = 35%

45% markdown :

100% - 45% = 55% of item price will be paid.

Furthermore,

35% additional discount :

100% - 35% = 65% of item price will be paid

Hence, percentage of original price paid:

(55% * 65%) = 0.3575

= 35.75% of the original price is paid

Answer:

4

Step-by-step explanation:

Answer:

2+2= 4

is very hard I know

THANKS

Answer:

It is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Answer:

10=x

Step-by-step explanation:

-5x+40= 6x-70

-5x+110=6x

110=11x

10=x

Answer:

this is da answer

10=x for yoquestion

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

Answer:

I added a screenshot. ;)

Step-by-step explanation:

Answer:

x=4, x=9

Step-by-step explanation:

If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.

Answer:yes

Step-by-step explanation:

Answer: negative

Step-by-step explanation:  

Answer:

a is 6 sq ft, b is 15 sq ft

Step-by-step explanation:

I'm going to call the bottom triangle (the one with 3, and 4 as its side lenght), and the top one, b.

So a is 3 times 4/2=12/2=6 sq ft.

b is 6 times 5/2=30/2=15

Answer:

21 ft²

Step-by-step explanation:

A = [tex]A_{1}[/tex] + [tex]A_{2}[/tex]

[tex]A_{1}[/tex] = (5 × 6) ÷ 2 = 15 ft²

[tex]A_{2}[/tex] = (4 × 3) ÷ 2 = 6 ft²

A = 15 + 6 = 21 ft²

Answer:

subtracting 18 from both sides isolate the variable term

Answer:

the answer is B

Answer:

The correct answer is B) Benefit would decrease by $7,020 annually.

Answer:

Step-by-step explanation:

We are expected to determine the cash flow in the account

Step one:

given data

Total withdrawals

Monday=$10

Thursday=$15

Friday=$8

Total= 10+15+8=$33

Step two:

Total deposits

Tuesday=$3

Wendesday=$4

Total= 3+4

Total= $7

In all, this show that more money is leaving the account than entering the account

Step 1: We need to determine b by using slope-intercept form, the given slope, and the given line.

[tex]-3 = 2(-4) + b\\\\-3 = -8 + b\\\\5 = b[/tex]

Step 2: Now we create the slope-intercept form for the line.

[tex]y = 2x + 5[/tex]

Step 3: We can now change the above equation to standard form.

[tex]y = 2x + 5\\\\-2x + y = 5\\\\-2x + y - 5 = 0[/tex]

The equation of the line in STANDARD FORM is: D. -2x + y - 5 = 0.

Answer:

3.5 meters

Step-by-step explanation:

Equation: p = 0.8L

Given: p = 2.80

To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:

p = 0.8L

2.8 = 0.8L

Divide both sides by .8 to isolate L:

[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]

3.5 = L

The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.

Given:

Rule of transformation is [tex](x,y)\to (x+4,y-2)[/tex].

Point = (-5,6)

To find:

The missing values in the given steps of transformation.

Solution:

Step 1: A: (-5, 6).

[tex]x:-5,y:6[/tex]

Step 2: Substitute x and y into [tex](x+4,y-2):[/tex]

[tex](-5+4,6-2)=(-1,4)[/tex]

Step 3: Do the math:

Point A' is at (-1 ,4 ).

Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard form is:

Given

Converting to standard form

Correct option is the first one

Answer: 12

Step-by-step explanation:

Answer:

137

Step-by-step explanation:

:)