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2 years ago

FINDING UNKNOWN ANGLE MEASURES-SUPPLEMENTARY ANGLES--#5 Please help with all of them!

Mathematics

1 answer:

Nataly_w [17]2 years ago

4 0

Answer:

See the first 3 problems solved below.

I added the next 3 problems.

Step-by-step explanation:

2x + 4x = 180

6x = 180

x = 30

2x = 2(30) = 60

4x = 4(30) = 120

3x + 6x = 180

9x = 180

x = 20

3x = 3(20) = 60

6x = 6(20) = 120

8x + 10x = 180

18x = 180

x = 10

8x = 8(10) = 80

10x = 10(10) = 100

7x + 8x = 180

15x = 180

x = 12

7x = 7(12) = 84

8x = 8(12) = 96

2x + x = 180

3x = 180

x = 60

2x = 120

2x + 2x = 180

4x = 180

x = 45

2x = 2(45) = 90

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Find the point at which the line x = 5 − t, y = 2 + t, z = 3t intersects the plane x − y + 4z = 13.

Nikolay [14]

The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

According to the statement

we have to find the point which they intersect the given plane.

So, For this purpose, we know that the

The given equations is :

x = 5 − t, -(1)

y = 2 + t, -(2)

z = 3t -(3)

And the given plane is :

x − y + 4z = 13 -(4)

And, the intersection of plane point is :

Put the equations 1 and 2 and 3 in the 4th equations then

(5 − t) - (2 + t) + 4(3t) = 13

3 - 2t + 12t = 13

3 + 10t = 13

10t = 10

Then

t = 1

Put these values in 1 and 2 and 3rd equation then the value of x y z become

x = 5 − t, -(1)

x = 5 -1

x = 4

And

y = 2 + t, -(2)

y = 2 + 1

y = 3

And

z = 3t -(3)

z = 3(1)

z = 3.

The value of (x,y,z) = (4,3,3).

So, The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

Learn more about intersection of plane here

brainly.com/question/12089275

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