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Kay [80]
3 years ago
5

How do you find this answer? M

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

  m∠QTP = 43°

Step-by-step explanation:

As with any problem, you start by looking at what you are given and the relationships between those things and what you are to find.

There are several relationships you can make use of here:

  • the sum of angles of a triangle is 180°
  • vertical angles are congruent
  • corresponding angles are congruent where a transversal crosses parallel lines

The angles marked (3x°) and (5x-32)° are corresponding angles, so are congruent. That means you can find their measure:

  3x = 5x -32

  0 = 2x -32 . . . . . subtract 3x

  0 = x -16 . . . . . . . divide by 2

  16 = x . . . . . . . . . .add 16

  3x° = 48° . . . . . . find 3x°

Angle TPQ is vertical with 3x°, so also has measure 48°. Angle TQP is vertical with the angle marked 89°, so also has measure 89°.

Now, you know two of the three angles in triangle QTP, so you can find angle QTP:

  m∠QTP + 48° + 89° = 180° . . . sum of angles in a triangle

  m∠QTP = 43° . . . . . . . . . . . . . . subtract 137°

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Step-by-step explanation:

Example: (5,2)

On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.

Also, in the world of variables, and the alphabet, x is before y.

So x represents the first number in an ordered pair.

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3 years ago
If x=8 what is the value of x(17-x)?
Svetlanka [38]
The highest power is 2.
Explanation:
Because x has a maximum power of 2, there will be 2 answers. if it were 3, there could be up to 3 answers, etc.
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7 0
3 years ago
Read 2 more answers
I need help with this word problem ASAP
Vsevolod [243]

Answer:

The road width is x = 10 m.

Step-by-step explanation:

A formula for the area of the horizontal rectangle is A1 = (x)(20 m).

A formula for the small rectangle on top of that is A2 = (x)(18 - x).

The total area of the new roadway is 280 m^2.

Summing up A1 and A2 and equating the result to 280 m^2, we get:

20x + 18x - x^2 = 280

Rewriting this in the standard quadratic form:

-x^2 + 38x - 280 = 0

Here the coefficients are a = -1, b = 38 and c = -280.

The discriminant is thus b^2 - 4ac, or:

38^2 - 4(-1)(-280) = 1444 - 4(280) = 324, or 18^2.

Thus, the roots (x-values) are:

      -38 ± 18

     -------------- = 28 and 10

            -2

Only the value x = 10 makes sense here, so we omit the other value (28).

The road width is x = 10 m.

x = ----------------------

7 0
3 years ago
360 is increased by 25%. The result is then decreased by 50%. What is the final number?
Jet001 [13]

Answer:

225

Step-by-step explanation:

4 0
3 years ago
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77julia77 [94]
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