1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work 20 points

Answer:

[tex]35+0.50t=51[/tex]

Step-by-step explanation:

Since the $35 is a one-time fee, 0.50 is the rate, t is the variable, and 51 is the total bill, we can form the equation:

[tex]35+0.50t=51[/tex]

Answer:

0.50t+35=51

Step-by-step explanation:

0.50 is the amount for each text message so it becomes 0.50t (0.50 × text message). This is added to the monthly cost which is 35 dollars (+35) the question wants an equation as the answer so (=51).

Answer:

4m/s^2

Step-by-step explanation:

if 45N =9m/s^2

20N= x

20N*9m/S^2/45N

=4m/s^2

Answer:

36 inch = 3 feets

72 inch = 6 feets

144 inch = 12 feets

Step-by-step explanation:

Answer:

(5z-6w)(5z+6w)

Step-by-step explanation:

Hi there!

We're given the expression 25z²-36w² and we want to factor it.

The expression written as a difference of squares. The difference of squares is given as a²-b²=(a-b)(a+b)

Let's label the values of what is a² and b², and then try to determine what a and b are from that information

[tex]a^{2}=25z^2\\b^2=36w^2[/tex]

Alright then! Let's square root both sides to find what a and b are

[tex]\sqrt{a^2}=\sqrt{25z^2[/tex]

Which then means:

a=5z

And then for b:

[tex]\sqrt{b^2}=\sqrt{36w^2}[/tex]

b=6w

Now substitute those values into the formula

a²-b² = (a-b)(a+b)

[tex]25z^{2}-36w^2=(5z-6w)(5z+6w)[/tex]

Hope this helps!

Answer:

$421.74

Step-by-step explanation:

Answer:

y = (19 - x) / -9

Step-by-step explanation:

Subtract x from both sides.

-9y = 19 - x

Divide both sides by -9

y = (19 - x) / -9

Answer:

Always

Step-by-step explanation:

I know this question is 3 weeks old, but for people in the future who need the answer.

Answer:

h = 19

Step-by-step explanation:

-7 + h = 12

=> h = 12 + 7 [Transferring (-7) to RHS by changing its sign]

=> h = 19

Answer:

h = 19

Step-by-step explanation:

[tex]-7+h=12[/tex]

Since -7 is a negative and we want to undo the number, add 7 to -7 and 12

[tex]h=12+7[/tex]

[tex]h=19[/tex]

Answer:

Factors for 18: 1, 2, 3, 6, 9, and 18.

Factors for 30: 1, 2, 3, 5, 6, 10, 15, and 30.

:)

Step-by-step explanation:

common factors are 1,2,3,6

Answer:

b/(1/4)(f)=a

Step-by-step explanation:

b=1/4af

b/(1/4)(f)=a

Answer:

[tex]b = \frac{1}{4} \times a \times f \\ multiply \: both \: side \: by \: \frac{4}{f} \\ b \frac{4}{f} = \frac{1}{4}a \times f \times \frac{4}{f} \\ \frac{b \times 4}{f} = a \\ thank \: you[/tex]

Step-by-step explanation:

Solution:

Here,

C.P.=Rs 500

Profit=Rs 170

Now,

S.P.=C.P.+Profit

=Rs 500+170

=Rs 670

Keep smiling and hope u r satisfied with my answer.Have a great day :)

Answer:

true

Step-by-step explanation:

Answer:

29 stories - 49 stories = number of stories they need to go

28 - 49 = 21

the answer is 21

they have 21 more stories to go

The number of stories they still need to go is 19 stories.

It is given that building is 48 stories high and when the emergency happens they have already gone to 29 stories.

We have to calculate the number of stories they still need to go.

What will be the value, if we subtract 2 from 4 ?

The value after subtracting will be 4 - 2 = 2.

As per the question ,

The total number of stories in building = 48

When emergency happens they have already gone 29 stories.

So ,

The number of stories they still need to go after the emergency happens can be calculated as ;

48-29 = 19

Thus , they still need to go 19 stories.

To learn more about subtraction click here ,

https://brainly.com/question/220101

#SPJ2

Answer:

You cannot combine -5x^2 and 2x.

Step-by-step explanation:

You cannot combine -5x^2 and 2x.  They are not like terms

x^2 and x are not the same

Answer:

x ≥ -3

x ≤ 3

Step-by-step explanation:

For the first inequality, just add 3 to both sides.

For the second inequality, add 4 to both sides then divide both sides by 3.

Answer:

2 hours and 45 min

Explanation:

3 hours+30 minutes

subtract 30

3 hours

subtract 15

2 hours and 45 min

Answer:

-8

Step-by-step explanation:

27-7=20

20-7=13

13-7=6

6-7= -1

-1-7= -8

Thinner candle:

y = length of the candle

x = rate it burns at every minute

y = -1/8x + 30

Thicker candle:

y = length of the candle

x = rate it burns at every minute

y = -1/10x + 30

To find the length after 3 hours:

y = -1/8(180) + 30

y = -1/10(180) + 30

Answer:

3 books on each shelf

5 books on each shelf

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The movement of a point along the coordinate geometry is referred to as translation. The  coordinates of the vertices for new quadrilateral are:

[tex]D' = (3,2)[/tex]

[tex]E' = (8,3)[/tex]

[tex]F' = (4,5)[/tex]

[tex]G' = (10,6)[/tex]

Given that:

[tex]D = (1,2)[/tex]

[tex]E =(6,3)[/tex]

[tex]F = (2,5)[/tex]

[tex]G = (8,6)[/tex]

The rule of transformation for 2 units right translation is:

[tex](x,y) \to(x + 2, y)[/tex]

So, we have:

[tex]D' = (1+2,2)[/tex]

[tex]D' = (3,2)[/tex]

Using the above formula, the other coordinates are:

[tex]E' = (8,3)[/tex]

[tex]F' = (4,5)[/tex]

[tex]G' = (10,6)[/tex]

Hence, the coordinates of the vertices for new quadrilateral are:

[tex]D' = (3,2)[/tex]

[tex]E' = (8,3)[/tex]

[tex]F' = (4,5)[/tex]

[tex]G' = (10,6)[/tex]

Read more about translation at:

https://brainly.com/question/21931353

Hello :D

x = 6

y = 4

3x + y

3x = 18

y = 4

18 + 4 = 22

Hope this helps

Answer: a=225

Step-by-step explanation:

[tex]a > 0\\\\x^2=a\\\\x^2-a=0\\\\(x-\sqrt{a} )(x+\sqrt{a}) =0\\\\\sqrt{a} -(-\sqrt{a} )=30\\\\2\sqrt{a} =30\\\\\sqrt{a} 15\\\\a=15^2\\\\a=225\\\\Proof:\\\sqrt{225} -(-\sqrt{225} )=2*\sqrt{225} =2*15=30\\\\[/tex]

Answer:

Step-by-step explanation:

Because x^5 has 5 members. When you group them into 2 members each, there is one x left over. This is most easily seen if you try it with numbers.

The clearest way is to pick something that is not a perfect square to start with.

6 * 6 * 6 * 6 * 6

6^2 is a perfect square. It is grouped into 2 groups. Each one is a 6

So 6^2 = 36. 36 is a perfect square.

You should note that 6 ^3  is not a perfect square. One of the 6s is unmatched and you get a fraction when you square root 6^3.

6 * 6 * 6 = 216. The square root of 216 is 14.697... which goes on forever.

6^4 is a perfect square.

6^4 = 1296 The square root of 1296 is 36.

Step-by-step explanation:

with what do you need help?

I hope we can help..