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Masteriza [31]
3 years ago
8

I need help with number 1-4 I don’t understand..

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

  1. 109°, obtuse
  2. 131°, obtuse
  3. 53°, acute
  4. 124°, obtuse

Step-by-step explanation:

You are exected to know the relationships of angles created where a transversal crosses parallel lines.

  • Corresponding angles are equal (congruent).
  • Adjacent angles are supplementary, as are any linear pair.
  • Opposite interior (or exterior) angles are equal (congruent).

The appearance of the diagram often gives you a clue.

You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.

1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.

2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.

3. Opposite interior angles are equal, so w will be 53°. It is acute.

4. Corresponding angles are equal, so x will be 124°. It is obtuse.

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hram777 [196]

Answer:

128.86 cm^2

Step-by-step explanation:

So to start off we need to find the area of the rectangle.

The formula for the area of a rectangle is l×w.

L stands for the length which is 12 and w is the width which is 11.

So 11 × 12 = 132 cm^2.

Now time for the area of a circle.

The formula for that is \pi r^{2}.

So first we need to do 1 × 1 which is 1.

Then 1 × \pi which is just \pi.

Then we do 132 - \pi which is an irrational number.

It looks like this shortened 128.858407346.

Now rounding to the nearest hundreth it would be 128.86 cm^2.

Hence, the area of the shaded region is 128.86 cm^2.

8 0
2 years ago
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harkovskaia [24]

Answer:

E

Step-by-step explanation:

\sqrt 6 is an irrational number, as it cannot be written as the ratio of 2 numbers.

It is also a real number, as it does not include the square root of a negative number.

Therefore, E is the correct option.

3 0
3 years ago
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Pavlova-9 [17]

\boxed{\sf 11, 7}\boxed

Isolate this variable, <em>x</em>,<em> </em>by dividing each side by factors that do <em>not</em> contain the variable.

6 0
2 years ago
For f (x)= -x + 8, what is the value of x for which f(x) = 9?
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Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

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