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Alenkasestr [34]
3 years ago
9

Find the value of X A.66 B.58 C.32 D.68

Mathematics
2 answers:
Alina [70]3 years ago
8 0

1) Δ ABC

m∠B + m∠C + m∠BAC = 180⁰

2) m∠DAB + m∠BAC = 180⁰ because m∠DAB and m∠BAC are supplementary angles.

3) m∠B + m∠C + m∠BAC = m∠DAB + m∠BAC

m∠B + m∠C = m∠DAB

32⁰ + x = 98⁰

x=98 - 32 = 66 ⁰

Answer: A. 66⁰.

saw5 [17]3 years ago
5 0

Answer: Option A, 66°

Step-by-step explanation:

Here we should use two things:

1) the addition of the 3 interior angles of a triangle always is equal to 180°

2) If a line cuts anoter line, two consecutive angles always add to 180°

now, we can see that the angle DA = 98°

then the angle AC can be obtained as:

AC = 180° - 98° = 82°

Now, with two of the interior angles of the triangle, we can find the other:

a + b + c = 180°

82° + 32° + c = 180°

c = 180° - 32° - 82° = 66°

so the correct option is the option A

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Which ordered pair maximizes the objective function p = 3x 8y? (0, 0) (2, 7) (5, 6) (8, 1)
Degger [83]

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

<h3>What is the objective function?</h3>

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

3 (0)+8(0) = 0

2. (2,7)

3(2)+8(7)=62

3. (5,6)

3(5)+8(6)=63

4. (8,1)

3(8)+8(1)=42

The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)

Hence option C is correct.

To learn more about the objective function refer to the link;

brainly.com/question/15830007

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2 years ago
What is the range of the reciprocal parent function?
Misha Larkins [42]

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Step-by-step explanation:

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3 years ago
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the number n is a 2-digit number. when n i divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. wh
larisa [96]
Think of numbers that when they are divided by 10, the remainder is 9.
So numbers like: 19, 29, 39, 49, 59, 69, 79, 89, and 99.

Now numbers that when they are divided by 9, the remainder is 8.
So numbers like: 17, 26, 35, 44, 53, 62, 71, 80, 89, and 98.

Now the number that is alike from the two sets of numbers is n.
n=89

Double check your work.
Divide 89 by 10. Remainder of 9
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Hope this helps :)

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Example of six ordered pairs with country names alongside their capitals are:

{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.

<h3>What are Ordered Pairs?</h3>
  • Ordered pair can be described as a pair of objects or numbers in a particular order.
  • In an ordered pair, the order of the objects or numbers are very important. For example, (a, b) is not the same as (b, a).

Therefore, example of six ordered pairs with country names alongside their capitals are:

{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.

Learn more about ordered pairs on:

brainly.com/question/1090891

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