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pshichka [43]
3 years ago
12

In the figure, transversal t intersects the parallel lines a and b, and is 64.76°.

Mathematics
2 answers:
o-na [289]3 years ago
6 0
<4+<5=180 because they're corresponding angles
<4=180-<5 Solving for angle 5.
<5+<8=180 because they're supplementary because they're on the same line.
<span><8=<4=180-<5 transitive property of equality</span>
Mama L [17]3 years ago
3 0

If you're on treca and need help, here is the image. The measure of angle 4 corresponds with angle 1, so it would measure 64.76. To get the measure of angle 6, subtract 64.76 from 180. You get 115.24.

Therefore,

4= 64.76

6= 115.24

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3 years ago
Give that each figure shown below is a trapezoid. Find the missing values.
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3 years ago
3x + 2 ≤ 14 <br><br>-5 + 2x &gt; 15 * <br><br>-2x + 4 ≥ 18 <br><br>HaLp i don't gets
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9514 1404 393

Answer:

  1. x ≤ 4
  2. x > 10
  3. x ≤ -7

Step-by-step explanation:

We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.

1. 3x +2 ≤ 14

  3x ≤ 12 . . . . . subtract 2

  x ≤ 4 . . . . . . . divide by 3

__

2. -5 +2x > 15

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  x > 10 . . . . . . . . divide by 2

__

3. -2x +4 ≥ 18

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  -14 ≥ 2x . . . . . . . subtract 18

  -7 ≥ x . . . . . . . . . divide by 2

_____

<em>Additional comment</em>

The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.

You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x

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