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kogti [31]
3 years ago
14

use your knowledge of angle relationships solve for x in the diagram below Justify Your solution by naming the geometric relatio

nship ​

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

x = 5°

Step-by-step explanation:

5x + 21° + 20x + 34° = 180°

25x + 55° = 180°

25x = 180° - 55°

25x = 125°

x = 125°/25

x = 5°

Hope you got it dear !!!!

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Find the distance from the point (1, 4) to the line y = 1/3x – 3.
Otrada [13]

Answer: Distance between line and point =

4√5 -3/2√10

Step-by-step explanation:

Distance between the line is

= √ ((9-0)²+(0+1)²)

= √ (89+1)

= √90

= 3√10

Half of the line = 3/2√10

Distance of one side of the line and the point.

= √((9-1)²+(0-4)²)

= √((8)²+(-4)²)

=√64+16

= √80

= 4√5

Distance between line and point =

4√5 -3/2√10

8 0
2 years ago
(1.3)Select the correct definition from the dropdown below:<br> (In picture)
masha68 [24]

Answer:

a plane is formed by two rays with the same end point

5 0
3 years ago
What is the range plss help
Delvig [45]

Answer:

Range is 1<x because there are arrow pointing away

Step-by-step explanation:

Brainliest? Just need 2 more

7 0
3 years ago
Read 2 more answers
X= ?? geometry ??? And how ????
steposvetlana [31]

Using the equations for tangent and secant lines:

Let the unknown length of the line inside the circle = y

6^2 = 3 x (y+3)

Simplify:

36 = 3y+9

Subtract 9 from both sides:

27 =3y

Divide both sides by 3:

Y = 9

Now add to get x:

X = 9 + 3 = 12

X = 12

8 0
3 years ago
Mr. Jones purchased two sodas.
kondaur [170]

Answer:

  the prices were $0.05 and $1.05

Step-by-step explanation:

Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...

  a + b = 1.10 . . . . the total cost of the sodas was $1.10

  a - b = 1.00 . . . . one soda costs $1.00 more than the other one

__

Adding these two equations, we get ...

  2a = 2.10

  a = 1.05 . . . . . divide by 2

  1.05 -b = 1.00 . . . . . substitute for a in the second equation

  1.05 -1.00 = b = 0.05 . . . add b-1 to both sides

The prices of the two sodas were $0.05 and $1.05.

_____

<em>Additional comment</em>

This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.

This result is the general solution to sum and difference problems.

5 0
2 years ago
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