if (a°+10°)and (a°+20°)are supplementry angles ,find them​

a) Since division by zero is undefined, we have that

[tex]13-x\neq0\Leftrightarrow x\neq13[/tex]

In interval notation

[tex]D=( -\infty ,13) \cup ( 13,\infty )[/tex]

b) Since a square root of a negative number is undefined over the Reals, we have that

[tex]9+x\geqslant 0\Leftrightarrow x\geqslant -9[/tex]

In interval notation

[tex]D=[-9,\infty )[/tex]

c)Since division by zero is undefined, we have that

[tex]2x+1\neq 0\Leftrightarrow 2x\neq -1\Leftrightarrow x\neq -\frac{1}{2}[/tex]

In interval notation

[tex]D=\left( -\infty ,-\frac{1}{2}\right) \cup \left( -\frac{1}{2} ,\infty \right)[/tex]

d) Since a square root of a negative number is undefined over the Reals, we have that

[tex]4x-3\geqslant 0\Leftrightarrow 4x\geqslant 3\Leftrightarrow x\geqslant \frac{3}{4}[/tex]

In interval notation

[tex]D=\left[\frac{3}{4} ,\infty \right)[/tex]

Answer: C = $37.5

Step-by-step explanation:

Given information

Price of one ticket = $8.50

Convenience fee = $3.50

Number of tickets = 4

Given expression

C = 8.50t + 3.50

Substitute the value of the ticket into the expression

C = 8.50 (4) + 3.50

Simplify by multiplication

C = 34 + 3.5

Simplify by addition

C = $37.5

Hope this helps!! :)

Please let me know if you have any questions

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Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

Answer:

okay

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.

Step-by-step explanation:

[tex]a) \\ thank \: you[/tex]

Answer:

product is the result of multiplication or an expression that identifies factors to be multiplied..

The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.

The given expression is,

(7x²)(2x³ + 5)(x² - 4x - 9)

Multiplying the first two expressions,

[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]

Now again multiplying these two expressions

[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]

Simplifying this we get,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

Hence,

The product of the given expression is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ4

Answer:

7.50$

Step-by-step explanation:

49.98÷100=0.4998=1%

0.4998×15= 7.497 which is 15%of their bill

y=4th qrd -6 ¡5 f= 3rd qrd 3 and ¡3

Answer:

It's the second graph, I circled it in blue

Answer:

$13.3 per hour

Step-by-step explanation:

for 6 hour the cost is $79.80

for 1 hour the cost is $79.80/6

$13.3 per hour

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

24=40/100×x

Step-by-step explanation:

i think the equation is

24=40/100×x

24 is equal to 40 percent of a number which I have represented by x

I hope this helps

0.2 Repeating Decimal is 2/9 as a Fraction

Answer:

2.9

Step-by-step explanation:

We let 0.2 be x.

Since x is recurring in 1 decimal places, we multiply it by 10.

10x = 2.2

Next, we subtract them.

10x - x = 2.2 - 0.2

9x = 2

Lastly, we divide both sides by 9 to get x as a fraction.

Answer: x = 2.9 or 2/9.

Answer: 675

Step-by-step explanation:

Since the starting amount of employees is 500 we can say that 100%=500.

Adding 35% more employees means that we're adding 35% to the existing 100%, which means we need to find 135% of 500.

To solve we must multiply 135% by 500. 135% as a decimal is 1.35, so we multiply 1.35(500)=675.

Therefore, they now have a total of 675 employees.

9514 1404 393

Answer:

  600 feet

Step-by-step explanation:

There are 60 seconds in a minute, so the trolley travels 60 times as far as it does in one second.

  (60 seconds/minute) × (10 feet/second) = 600 feet/minute

The trolley goes 600 feet in a minute.

Answer:

-3/4

Step-by-step explanation:

slope of given line:

4y=-3x+8

y=-3/4 *x+8

m=-3/4

parallel lines have equal slopes so required slope is -3/4

Answer:

z=  2 - 3i

      1 + i

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

I hope it helped U

stay safe stay happy

Answer:

a) greater than 20

b) 20 is the estimate (round all the three other numbers and add, then subtract from 80 because 20, the average, times the four meetings is 80)

c) You can check your estimate by adding all of the numbers and subtracting the answer by 80. 18 + 17 + 21 = 56. 80 - 56 = 24

24 is closer to 20 than 30, so our estimate is correct.

Step-by-step explanation:

Answer:

this is unclear

Step-by-step explanation:

yoy miss typed

Answer:

z° = 135°

Step-by-step explanation:

The measure of the interior angle is 135°. The sum of the measures of its interior angles is 1080°.

I hope I helped you^_^

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

24000

Step-by-step explanation:

instead of 20000 you've got to round the no before it then you'll know your answer as 24000

Answer:

1 = YES

2 = NO

Answer:

Step-by-step explanation:

The probability of breakdown

Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.

1. All machines breakdown.  

1/4 +1/6 + 1/8 = 13/24

2. 2 machines break down

CM and D 1/4 + 1/6 = 5/12

CM and H 3/8

D and H 7/24

Answer:

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Step-by-step explanation:

Let the volume of used water is x.

We have:

Correct choice is B