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stiks02 [169]
3 years ago
10

Find the value of x.

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

Therefore the value of x=31\°

Step-by-step explanation:

Given:

m∠ A = 56°

m∠ B = 75°

m∠ ACD = x°

To Find:

x = ?

Solution:

In Δ ABC

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Here,

The opposite interior angles are angle A and angle B.

An exterior angle of a triangle is angle ACD which is x°

∴ m\angle A +m\angle B=m\angle ACD\\...Exterior angle property of Δ

Substituting the values we get

56+75=x\\\\\therefore x=131\°

Therefore the value of x=31\°

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lubasha [3.4K]
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. :)
8 0
3 years ago
Simplify the square root of -18
Levart [38]

The square root of -18 is 3i√ 2

Hope this helps


4 0
3 years ago
The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. Wh
Masteriza [31]

9514 1404 393

Answer:

  60

Step-by-step explanation:

Let m represent the mark Cheryn scored on her first quiz. Then her average is ...

  (m +76 +89)/3 ≥ 75

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  m ≥ 60 . . . . . . . . . . . . subtract 165

Cheryn scored a minimum of 60 marks on her first quiz.

4 0
3 years ago
PLEASE HELP!<br><br> Question is on photo! <br> Thank you!!
ipn [44]

We conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)

<h3>How to determine the domain and range of a relation and if a relation is a function</h3>

Herein we have a relation between two variables, x and y, relations involve two sets: an input set called domain and an output set called range. A relation is a function if and only if every element of the domain is related to only one element from the range.

Graphically speaking, the horizontal axis corresponds with the domain, whereas the vertical axis is for the set of the range. According to the previous concepts, we conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)

To learn more on functions: brainly.com/question/12431044

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7 0
1 year ago
Find the length of the third side. If necessary, round to the nearest tenth. 10 24
galben [10]

Answer:

26 units

Step-by-step explanation:

Pythagoras' Theorem: \sf a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given

  • a = 10
  • b = 24

Substitute the given values into the formula and solve for c:

\sf \implies 10^2+24^2=c^2

\sf \implies c^2=676

\sf \implies c=\pm\sqrt{676}

\sf \implies c=\pm26

Since length is <u>positive</u>, c = 26 only

3 0
2 years ago
Read 2 more answers
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