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tensa zangetsu [6.8K]
2 years ago
12

Can someone pls help me solve thiss

Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

Answer:

The value of x = 9

Step-by-step explanation:

Given the angles of the triangle

  • (13x+2)°
  • (5x-7)°
  • (3x-4)°

We know that the sum of angles of a triangle is 180°.

Therefore,

(13x+2)° + (5x-7)° + (3x-4)° = 180°

13x+2 + 5x-7 + 3x-4 = 180°

21x + 2 - 11 = 180°

21x - 9 = 180°

21x = 180° + 9

21x = 189

divide both side sby 21

21x/21 = 189/21

x = 9

Therefore, the value of x = 9

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Elodia [21]

Answer:

A U B = {17, 19, 20, 21, 22, 24}

Step-by-step explanation:

The symbol U is the union symbol, which denotes the union of two sets.

This means that given two sets A and B, the expression

A U B

indicates all the elements that belong to either set A or set B.

In this problem, we have the following two sets:

A = {19, 20, 21, 24}

B = {17, 19, 20, 22}

We can therefore list all the elements belonging to either set A or set B, they are:

17, 19, 20, 21, 22, 24

So, the expression A U B indicates the set:

A U B = {17, 19, 20, 21, 22, 24}

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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

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3 years ago
What is the solution to q+(-9)=12
Whitepunk [10]
<span><span>
q−9</span>=12

</span>Step 1: Add 9 to both sides.

<span><span><span>q−9</span>+9</span>=<span>12+9

</span></span><span>q=21

</span>Answer:

<span>q=21</span>
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