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JulsSmile [24]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

21.6 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180 degrees

71 + x + (4x-11) = 180

open the brackets

71 + x +4x - 1 = 180

71 + 1 + x + 4x =180

72 + 5x =180

5x = 180 -72

5x = 108

x = 108/5 = 21.6

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Three cities form a right triangle on a map. Cities B and C are the furthest apart. If cities A and B are 14 miles apart And cit
nekit [7.7K]

Answer:

26.1miles

Step-by-step explanation:

If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.

If cities A and B are 14 miles apart, then |AB| = 14miles

Also if cities A and C are 22 miles apart, then |AC| = 22miles.

To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.

|BC|² = |AB|² + |AC|²

|BC|² = 14²+22²

|BC|² = 196+484

|BC|² = 680

|BC| = √680

|BC| = 26.1miles

This means that cities B and C are 26.1miles apart

7 0
3 years ago
−3z+6b−7
Varvara68 [4.7K]

In −3z+6b−7, the first term is -3z. It's a variable term, since z is assumed to be a variable. The coefficient of this variable, z, is -3.

7 0
3 years ago
Olivia baked 16 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in
lukranit [14]

Answer:

The number of whole loaves at each location = 5 loaves

Step-by-step explanation:

This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:

Numer of loaves of bread = 16

number of locations = 3

next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:

= \frac{16}{3} = 5\frac{1}{3}

This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.

Therefore, the number of whole loaves at each location = 5 loaves

<em>but remember that there will be a remainder of 1 loaf.</em>

4 0
3 years ago
What would the new point be If you rotated the point (3,-5) 270 clockwise.
timurjin [86]

Answer:

see below

Step-by-step explanation:

When you rotate a point 270 degrees clockwise (x, -y) becomes (-y, -x) so the answer would be (-5, -3).

5 0
3 years ago
Does anybody know this?
vagabundo [1.1K]

Answer:

  see attached

Step-by-step explanation:

Reflection in the line y=1 is accomplished by the transformation ...

  (x, y) ⇒ (x, 2 -y)

Each point in the image is as far below the line as the original point is above the line.

6 0
2 years ago
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