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slega [8]
3 years ago
12

What is m∠ABC? Justify your reasoning. Using the addition property of equality, 40 + 15 = 55, so m∠ABC = 55°. Using the subtract

ion property of equality, 40 − 15 = 25, so m∠ABC = 25°. Using the Angle Addition Postulate, 15 + m∠ABC = 40. So, m∠ABC = 25° using the subtraction property of equality. Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.
Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer:

Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.

Step-by-step explanation:

The  Angle Addition Postulate is gotten from angles placed side by side to form a resulting angle that is the sum of all the individual angles.

If D is the interior of ABC then, ABC is split into two parts i.e ABD and DBC, then the measure of ABC is the sum of the individual two parts

m∠ABC = m∠ABD + m∠DBC.

Using the Angle Addition Postulate:

m∠ABC = m∠ABD + m∠DBC

m∠ABC = 15 + 40 = 55°

m∠ABC = 55°

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Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a
Y_Kistochka [10]

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2.

  1. With the deal, Charlotte's before tax cost is $895.6
  2. The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

  • f(x) = 0.85•x + 139.95

2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

  • 889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

  • 895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

brainly.com/question/11331093

#SPJ1

5 0
1 year ago
If y= (2x^2+x)^3 +(x-1) /(1-x). find dy dx​
Mrrafil [7]

Answer:

Step-by-step explanation:

y=(2x²+x)³+(x-1)/(1-x)

=(2x²+x)³+(x-1)/-(x-1)

=(2x²+x)³-1

dy/dx=3(2x²+x)(4x+1)-0

=3x(2x+1)(4x+1)

7 0
3 years ago
What is the solution set of the equation <br> |2x-3|=11
Leokris [45]
If your trying to figure out (x) then the answer would be 7 because 7 times 2 is 14 and then 14 minus 3 would be 11
5 0
3 years ago
Compute using long division: 1,234÷68
Kruka [31]

Answer:

Quotient = 18

Remainder = 10

Step-by-step explanation:

1234/68

=> 68 x 1 = 68

=> 123 - 68 = 55

=> Take the 4 down

=> 554/68

=> 68 x 8 = 544

=> 554 - 544  = 10

So, the quotient = 18.

Remainder = 10

4 0
3 years ago
1. Steven delivers 56 newspapers every day of the week except Sunday. How
Dvinal [7]

Answer: 336 papers

Step-by-step explanation:

A week except Sunday = 6 days

56 newspapers * 6 days = 336 newspapers in all

3 0
3 years ago
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