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chubhunter [2.5K]
3 years ago
15

Click the photo to find the value of x

Mathematics
1 answer:
wariber [46]3 years ago
7 0
85° hope this helps :)
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Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
Ber [7]

Answer:

Option D.

LA Theorem or Postulates

Explanation:

LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

In \triangle ACB and  \triangle DFC

\angle C =\angle F = 90^{\circ}             [Given]

\angle B = \angle E   [Acute angle]      [Given]

BC=EF        [Given]

By LA theorems or postulates,

\triangle ACB \cong \triangle DFE

Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.


     

8 0
3 years ago
Read 2 more answers
How do I divide numbers by using long division. <br>​
Vsevolod [243]

The only rule to follow is

Divide dividend by divisor and the mention the quotient and things left after remains in place of remainder

Here is a sample

\sf\Large\qquad\quad16\\ \begin{array}{cc} \cline{2 - 2}\sf 20 )&\sf \ 327\\&\sf - 20 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 127\\ &\sf \ - 120 \\ \cline{2-2} & \sf \ \007 \\ \cline{2-2} \end{array}\\\\\\ \sf Divisor \rightarrow 20 \\ \\ \sf Quotient \rightarrow 16\\\\ \sf Remainder \rightarrow 7

3 0
2 years ago
Find the value of x: 3(6x - 4x) = -30<br> (Provide Step-By-Step)
Olegator [25]

Answer:

x = -5

Step-by-step explanation:

Multiply 3 by (6x - 4x) = 18x - 12x

18x - 12x = -30

6x = -30

x = -30 /6

x = -5

5 0
3 years ago
Read 2 more answers
hi:) for 5(b) , I got 157.7 &amp; 22.3 but in the answer key, the only correct answer is 157.7. I thought there should be 2 poss
n200080 [17]

Answer:

Θ = 157.7°

Step-by-step explanation:

Given

cosΘ = - 0.925

Since cosΘ < 0 then Θ is in the second or third quadrant.

Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus

Θ = cos^{-1}(- 0.925) = 157.7° ← angle in second quadrant

8 0
3 years ago
Read 2 more answers
Neeeeed help please
Nikolay [14]
A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one.  In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry      Tim
2              1
2              1
2              1
2              1
2              1
2              1
10            1  (Henry's own vote)
1          100  (Tim's own vote)
------------------
17        107  TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.



3 0
3 years ago
Read 2 more answers
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