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Oliga [24]
3 years ago
5

Classify each pair of angles listed below as adjacent or vertical.

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Given:

Intersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

<u>Pair of adjacent angles:</u>

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

<u>Pair of vertical angles:</u>

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

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Use always, sometimes or never to make a true statement:
viva [34]

Answer:

1. Intersecting lines are <u>always</u> coplanar

2. Two planes <u>never</u> intersect in exactly one point

3. Three points are <u>always</u> coplanar

4. A plane containing two points of a line <u>always</u> contains the entire line

5. Four points are <u>sometimes</u> coplanar

6. Two lines <u>never</u> meet in more than one point.

7. Two skew lines are <u>never</u> coplanar

8. Line TQ and Line QT are <u>always</u> the same line.

Step-by-step explanation:

Note: Coplanar means "In the same plane"

1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.

2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.

3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.

4. A plane containing two points of a line always contains the entire line. Yes

5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane

6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point

7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.

8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing

4 0
2 years ago
5. trey made pasta in the Shape of a square ; He draws 2 lines to cut the pasta into smaller pieces The smaller pieces have L I
hodyreva [135]

Wouldn't it be. 8 pieces because you cut each sides into two pieces so like this. —|—. You'll end up having four square pieces, but count the pieces that creates an L shape.


best wishes good luck

7 0
2 years ago
Read 2 more answers
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
sweet-ann [11.9K]

Answer:

x = 10\sqrt{3}, y = 10

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

and

cos60° = \frac{adjacent}{hypotenuse} = \frac{y}{20} = \frac{1}{2} ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

4 0
2 years ago
$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne
worty [1.4K]
I'm assuming this is a yearly interest.

2500*.04=100
7500*.05=375

so that would be $475 earned from interest
3 0
3 years ago
Please give me the answer
Tcecarenko [31]

Answer:

7 units

Step-by-step explanation:

hope I helped today

8 0
2 years ago
Read 2 more answers
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