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2 years ago

Subject:Mathematics

Mathematics

2 answers:

arsen [322]2 years ago

7 0

<h2><u>Question</u> :</h2>

The angle measure of a triangle are shown in the diagram.

What is the value of x?

<h2><u>Answer</u> :</h2>

value of x is 28°

<h2><u>Explanation</u> :</h2>

<h3>Given :</h3>

∠A = 50°
∠B = (2x)°
∠C = (3x - 10)°

Value of x = ?

<h3>Solution :</h3>

As, In a triangle measure of all three angles is always 180°.

$\sf : \implies \angle A + \angle B + \angle C = 180\degree$

$\sf : \implies 50\degree + (2x)\degree + (3x - 10)\degree = 180\degree$

$\sf : \implies 50 + 2x + 3x - 10 = 180\degree$

$\sf : \implies 40 + 5x = 180\degree$

$\sf : \implies 5x = 180\degree - 40\degree$

$\sf : \implies 5x = 140\degree$

$\sf : \implies x = \cancel{\dfrac{140\degree}{5}}$

$\sf : \implies x = 28\degree$

$\large \underline{\boxed{\bf{x = 28\degree}}}$

Hence, value of x is 28°.

posledela2 years ago

3 0

Answer:

x=28°

Step-by-step explanation:

2x+3x-10+50=180

5x+40=180

5x=180-40

5x=140

x=140/5

x=28°

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Step-by-step explanation:

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In part a:

Space sample chooses 3 of a 5 systems

$(M_1, \ M_2,\ M_3),$ $(M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),$ $(M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}$

In point b:

A =MODULE WHICH INCLUDE M1 minimal amount of effort

Outcomes probable =

$(M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6$

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$(M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6 \\\\$

$\to B= \frac{6}{10} \\\\$

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$\to P(B)=10$

In point d:

$\to \ A \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)$

$\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \$

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In point e:

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$\to (A\cap B) = \frac{3}{10}$

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In point g:

$\to (A \cup B) = \frac{7}{10}$

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In point h:

$\to p(A \cap B) = 0.3 \neq 0$

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2 years ago

Subject:Mathematics ​

Subject:Mathematics