Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.
What is m∠ABC?

Answers

Answer 1
abc 78 equal meters degree
Answer 2

Answer:

78

Step-by-step explanation:


Related Questions

what is the answer to 10 x p + 7 x t

Answers

Answer:

10p +7t

Step-by-step explanation:

Hope this helps.

Given the function: f (x) = StartRoot 3 x + 6 EndRoot What is the inverse function of f(x)? f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2 f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ 0 f –1(x) = – 6x2 – 3, x ≥ –2 f –1(x) = – 3x2 – 6, x ≥ 0

Answers

Answer:

f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2

Step-by-step explanation:

answer is A on edge

The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].

Here,

A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]

We have to find the inverse of given function.

What is Inverse function?

An inverse function is a function that undoes the action of the another function.

Now,

A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]

To find inverse function,

Replace f(x) by y in the equation,

[tex]y = \sqrt{3x + 6}[/tex]

[tex]y^{2} = 3x + 6\\y^{2} -6 = 3x \\x = \frac{y^{2} - 6\\}{3}[/tex]

Replace every x by a y and solve for y, we get;

[tex]y = \frac{x^{2} - 6\\}{3}[/tex]

Replace y by [tex]f^{-1} (x)[/tex], we get,

[tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex]

Hence, The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].

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After w weeks, a student has saved 25 + 8w dollars. How much money has the student saved after 15 weeks?

Answers

Answer:

145

Step-by-step explanation:

plugin 15 for w then solve it

Select all true statements about the \large \sqrt{36}

Answers

√36 can be taken out of the root as 6. So it's a rational number.

About the perfect square, if we (√36)² then we get 36. and √36 is just 6.

For non-repeating decimal, √36 is already an integer.

How many pounds of raisins did Priya buy if she bought the following amounts of almonds:
1.06 pounds of almonds
Round your answer to the nearest hundredth, and do not include uníts (pounds of raisins).

Answers

Answer:

2.25

Step-by-step explanation:

5.20 * 1.06 = 5.512

11.70 - 5.512 = 6.188

6.188 / 2.75 = 2.25018

Round to the nearest hundredth which equals....

2.25

what is scientific notation and why is it used ?

Answers

Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.

scientific notation is to make calculations with unusually or small numbers less cumbersome.

Bernie got 15 out of 35 math problems correct on his test. What percent did he
get correct?

Answers

he has 42.87 correct, you have to find the percentage of one number in relation to another with the formula percentage = ( number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage

3x + 0.8 = 18.8
solve for x

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3x + .8 = 18.8

subtract .8

3x = 18

divide by 3

x = 6

Find the term between 21 and 153

Answers

Answer:

22,23,24... 152

Step-by-step explanation:

term= between the given

Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19)
21 + (19 + 36)
(21 +19) + 36:
40 + 36
76

Answers

addition propertyyyy

Answer:

step one is the identitey  property step 2 is the communative property step 3 is the associative property

Step-by-step explanation:

Allison works in a department store selling
clothing. She makes a guaranteed salary of $350
per week, but is paid a commission on top of her
base salary equal to 15% of her total sales for the
week. How much would Allison make in a week in
which she made $300 in sales? How much would
Allison make in a week if she made xx dollars in
sales?

Answers

Answer:

a. $395

b. $(350 + 0.15x)

Step-by-step explanation:

Her income in a week can be written as;

$350 + 15% of sales

a. In the case of $300 sales in a week

Mathematically, that would be;

$350 + 15% of $300

$350 + (15/100 * 300)

$350 + $45 = $395

b. In the case of $x in sales

= $350 + 15% of x

= $350 + (15/100 * x)

= $350 + 0.15x

= $(350 + 0.15x)

Divide up to two decimal places.
12427 by 349
explanation please! thankyou.​

Answers

12427÷349

35.60744985673352

= 35.61(2d.p)

Explanation:

When you divide it you get 35.60744985673352

To leave it in to 2 decimal place, you are to consider the the third number after the point which in this case is 7. So you check if it is greater than or equal to or less than 5. If it is greater than or equal to 5 you carry forward 1 to the next digit to the left which is 0 in this case which will give you 1, then you retrieve the number plus the first two decimals after the point to get 35.61(2d.p).

what is a real number​

Answers

Answer:

pi, 7, and 8

Step-by-step explanation:

Nearly any number you can think of is a Real Number

Solve the following equation for x:
x8=9

Answers

Answer: x=9/8

Let's solve your equation step-by-step.

x(8)=9

Step 1: Simplify both sides of the equation.

8x=9

Step 2: Divide both sides by 8.

8x/8=9/8

x=9/8

Answer is x=9/8 and you are welcome

Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annually. But Sam is confused by a letter from his insurance company telling him that an increase in the value of his home has led to an increase in his annual homeowners insurance premium. He is now being charged an annual premium of $720.90. Based on the increase in his annual homeowners insurance premium, what was the increase in his home's value? (Note: The cost is still $0.27 per $100, even though the annual premium went up.)

Answers

Answer:

C. $14,000

Step-by-step explanation:

If he is now being charged an annual premium of $720.90. The increase in his home's value is $14,000.

Increase in home value

Increase in home value=[(720.90/0.27)-(683.10/0.27)]×$100

Increase in home value=(2670-2530)×$100

Increase in home value=140×$100

Increase in home value=$14,000

Therefore the increase in his home's value is $14,000.

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I NEED HELP NOW
ur really gonna need to solve this
10t-5=60

Answers

Answer:

[tex] \huge \: t = \frac{13}{2} [/tex]

Step-by-step explanation:

[tex]10t - 5 = 60[/tex]

Using the addition property add 5 to both sides of the equation

That's

[tex]10t - 5 + 5 = 60 + 5 \\ 10t = 65[/tex]

Divide both sides by 10

[tex] \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} [/tex]

Reduce the fraction with 5

We have the final answer as

[tex]t = \frac{13}{2} \\ [/tex]

Hope this helps you

Answer:

t = 6.5

Step-by-step explanation:

10t - 5 = 60

Add 5 to each side

10t -5+5 = 60+5

10 t = 65

Divide each side by 10

10t/10 = 65/10

t = 6.5

The formula a=1w gives the area A of a rectangle with length I. What is the area in square feet of a rug with a length of 13 feet and a width of 6 feet

Answers

Answer:

78

Step-by-step explanation:

Multiply 13 by 6

Which set of three numbers could be the side lengths of a right triangle?
A. 5, 12, 17
B. 6, 12, 24
C. 12, 16, 25
D. 14, 48, 50

Answers

Answer:

if my calculations are correct the answer should be B!!

Step-by-step explanation:

The set of three numbers could be the side lengths of a right triangle is to be considered as the option d. 14,48,50.

What is Pythagoras theorem?

It is a theorem that should be attributed to Pythagoras where the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides.

So based on this we can say that

[tex]50^2 = 48^2 + 14^2\\\\[/tex]

2500 = 2,304 + 196

2,500 = 2,500

Hence, the option d is correct.

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2a-2c=4a solve for a

Answers

Answer:

a = - c

Step-by-step explanation:

2a - 2c = 4a

- 4a         - 4a

- 2a - 2c = 0

+ 2c        + 2c

- 2a = 2c

/-2      /-2

a = - c

Answer:

[tex]\boxed {a = -c}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]2a - 2c = 4a[/tex]

-Take [tex]4a[/tex] and subtract it from [tex]2a[/tex]:

[tex]2a - 2c - 4a = 4a - 4a[/tex]

[tex]-2a - 2c = 0[/tex]

-Add both sides by [tex]2c[/tex]:

[tex]-2a - 2c + 2c = + 2c[/tex]

[tex]-2a = 2c[/tex]

-Divide both sides by [tex]-2[/tex] and dividing [tex]-2[/tex] undoes the multiplication by [tex]-2[/tex]:

[tex]\frac{-2a}{-2} = \frac{-2c}{-2}[/tex]

[tex]\boxed {a = -c}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]-c[/tex].

The denominator of a fraction is one more than the numerator. If 3 is subtracted to
the numerator and to the denominator, the resulting fraction is equivalent to 1 . What is the 2
original fraction?

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

let the original fraction be

[tex]\frac{n}{n+1}[/tex] ( with denominator 1 more than numerator )

Subtracting 3 from numerator/ denominator gives

[tex]\frac{n-3}{n+1-3}[/tex] = [tex]\frac{n-3}{n-2}[/tex]

Given that the fraction is now equivalent to [tex]\frac{1}{2}[/tex] , then

[tex]\frac{n-3}{n-2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2(n - 3) = n - 2, distribute left side

2n - 6 = n - 2 ( subtract n from both sides )

n - 6 = - 2 ( add 6 to both sides )

n = 4

and n + 1 = 4 + 1 = 5

Thus original fraction is [tex]\frac{4}{5}[/tex]

HELP!!!! PLZ!!!!!!!!!!!!!!!!!

Answers

Answer: A

Cause 10 divided by 1 is 10

Simplify.

-2(w+5) +6w

Answers

Answer:

4w - 10

Step-by-step explanation:

Step 1: Write expression

-2(w + 5) + 6w

Step 2: Distribute -2

-2w - 10 + 6w

Step 3: Combine like terms

4w - 10

Is 3x - 4 = 12 a literal equation? *

Answers

Answer:

x = 16/15

Step-by-step explanation:

3x - 4 = 12

~Add 4 to both sides

3x = 16

~Divide 3 to both sides

x = 16/15

Best of Luck!

In the number 543.872, what digit is in the hundreds place?

Answers

Answer:

7

it's too short. Write at least 20 characters to explain it well.

Which equation justifies why nine to the one third power equals the cube root of nine?

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine

nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine

nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine

Answers

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Plz help Can you plot the data !
9b) write the equation of your best fitting line.

9c)use your to determine how well you would do if for 4 hours

Answers

Answer:

9b y= 15.109t + 56.4

9c 116.836 in 4 hours

Step-by-step explanation:

I used a regression calculator for the first one.

I multiplied 15.109 and 4 because t is the time.

add 56.4

help me can you explain the answer for this question ​

Answers

Answer: Brand C because...

Step-by-step explanation:

Brand A= 0.23 for 1 ounce

Brand B=0.225for 1 ounce

Brand C= 0.21 for 1 ounce

Brand D= 0.25 for 1 ounce

Morse code uses "dots" and "dashes," which are known to occur in the proportion of 3:4. This means that for any given symbol, P(dot sent) = 3/7 and P(dash sent) = 4/7. Unfortunately, when coded messages are sent, there are sometimes errors in transmission. Suppose there is interference on the transmission line, and with probability 1/8 a dot is mistakenly received as a dash, and vice versa. a) What is the probability that the received symbol is a dot?

Answers

Answer: [tex]\dfrac{25}{56}[/tex]

Step-by-step explanation:

Given: P(dot sent) = [tex]\dfrac37[/tex]

and P(dash sent) = [tex]\dfrac47[/tex]

P(dot received) = P(dot received ∩ dot sent)

+ P(dot received ∩ dash sent)

= P(dot received | dot sent)P(dot sent)  + P(dash received | dash sent)P(dash sent)   [By conditional probability formula]

[tex]=\dfrac78\times\dfrac37+\dfrac18\times\dfrac47=\dfrac{25}{56}[/tex]

Hence, the probability that the received symbol is a dot = [tex]\dfrac{25}{56}[/tex]

which of the following does NOT represent the legs of the sides of a right tringle

Answers

Answer:

d

Step-by-step explanation:

A grocery store advertised a detergent today for $7.99. Why did the store choose to advertise the detergent this way?

A. It is trying to differentiate it from other brands.
B. The store has a shortage of that detergent.
C. Customers' brains tend to notice the first digit first.
D. It wants to encourage customers to donate an extra penny to charity.

Answers

Answer:

C. Customers' brains tend to notice the first digit first

Hope this helps!

Today, a detergent was promoted at $7.99 in a supermarket shop. Because customers' brains tend to notice the first digit first, the business decided to market the detergent in this way.

What is brand promotion?

Brand promotion uses a variety of tools and techniques to sell your brand while showcasing a company's character, values, and objectives.

It may not necessarily entail outright advertising for the goods or services provided, but it always works to get people to support the brand.

The store chooses to advertise the detergent this way so that customers' brains tend to notice the first digit first.

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