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Sliva [168]
3 years ago
15

The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.

Mathematics
1 answer:
Alika [10]3 years ago
8 0

Answer:

m∠W = 67°

Explanation:

According to the triangle sum theorem, three angles added up together in a triangle must be 180°. To find the missing angle:

86°+27°+x°=180°

= 67°

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the system of equations y =-3x+2 and y =1/2 x -6 is shown on the graph below. What is a reasonable estimate for the solution>
Tom [10]

Answer:

The reasonable estimate for the solution is (2.29, -4.87)

Step-by-step explanation:

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7}    \\x=2.29

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation on the similar question can be found here brainly.com/question/19713330

3 0
3 years ago
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Pls help !<br> i need help with all 3 questions quick
Zarrin [17]

Ask your mummy......

6 0
3 years ago
Six less than five times a number is three more than twice the number.
nignag [31]

Answer:

5x - 6 -3= 2x

Step-by-step explanation:

8 0
3 years ago
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How do you get to the point (-3.4)? *
kaheart [24]

Answer:

3 down, 4 up

Step-by-step explanation:

-3 is the X line, which starts on 0, if you subtract 3, or add -3, you would have to go down, 3 down. 4 is on the Y line, so you add, go left to add on the Y line, 4 up.

Always start with you X coordinate. Here is a tip to help you (X, Y)

7 0
3 years ago
Use the given information to write an equation and solve the problem.<br> (28-31 in the picture)
tia_tia [17]

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

3 0
2 years ago
Read 2 more answers
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