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yaroslaw [1]
2 years ago
9

A pair of vertical angles has measures (3x + 4) and ( 73 – 9) What is the value of x?

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
6 0

Answer:

20

Step-by-step explanation:

Vertical angles are always equal to each other. So the answer is

3x + 4 = 73 - 9                 Are you sure this is what the question is?

3x + 4 = 64                      Subtract 4 from both sides

 <u>    -4      -4</u>

3x = 60                           Divide by 3

3x/3 = 60/3

x = 20

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Find the value of the variable and GH if H is between G and I. GI = 5b + 2, HI = 4b – 5, HI = 3
Katen [24]

Answer:

  b = 2, GH = 9

Step-by-step explanation:

The last two equations tell you ...

  HI = 3 = 4b -5

  8 = 4b . . . . . . . . . add 5

  2 = b . . . . . . . . . . divide by 4

Then ...

  GI = 5·2 +2 = 12

So ...

  GI/HI = 12/3 = 4 = G/H . . . . use the found value for GI and the given HI

  G = 4H . . . . . . . multiply by H

  GH = 4H² . . . . . multiply by H again

__

At this point, it can be useful to try the offered solutions to see what works.

<u>For GH = 9</u>

  GH = 4H² = 9

  H = ±√(9/4) = ±3/2

  G = 4H = ±6

Then ...

  I = 3/H = 3/(±3/2) = ±2 . . . . matching the sign of H

We want values of G and H such that H is between G and I.

  positive H: (G, H, I) = (6, 3/2, 2/3) . . . . yes, H is between G and I

  negative H: (G, H, I) = (-6, -3/2, -2/3) . . yes, H is between G and I

The solution b=2, GH=9 satisfies problem requirements.

__

<u>For GH = 12</u>

  GH = 4H² = 12

  H = ±√(12/4) = ±√3

  G = 4H = ±4√3

  I = 3/H = 3/±√3 = ±√3 . . . . sign matches H

Then (G, H, I) = (4√3, √3, √3) . . . . . H = I; is not "between" G and I

or (G, H, I) = (-4√3, -√3, -√3) . . . . . . H = I; is not "between" G and I

The solution b=2, GH=12 will only satisfy the problem requirements if you interpret "between G and I" to allow that H = I.

6 0
3 years ago
Solve for X, -33= -5x+17
Bezzdna [24]

Answer:

5x=17+33

5x=50

x=10

Have a great day!

4 0
2 years ago
Read 2 more answers
The table shows the time it takes Jenny to swim laps. How long will it take her to swim 14 laps?
Dahasolnce [82]
14 laps of swimming will take her 10 1/2 minutes.
4 0
3 years ago
Write the equation of the line parallel to y=2x+7 and contains the points (6,-1)
Liono4ka [1.6K]

Answer: y = 2x - 13

Step-by-step explanation: Start with the formula y=mx+b. Remember that the slope of the parallel line, m, is the same. Now you have y = 2x + b. You can find b, the y intercept, knowing that the line passes through the point given: -1 = (2) * 6 + b. So now we see that b = -13.

7 0
2 years ago
The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second te
kondaur [170]

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

<u>3x</u> = <u>252</u>

3        3

x = 84

5 0
3 years ago
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