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skad [1K]
3 years ago
14

Is it possible for a pair of angles to be both corresponding angles and alternate interior angles

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

When the two lines intersected by the transversal are parallel, corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles become supplementary, which means they have a sum of 180 degrees.

Step-by-step explanation:

You might be interested in
In an examination 80% students passed. if 15 less have appeared and 10 less have passed, the ratio of passers to failures would
Nina [5.8K]

Answer:

60 students passed, and 75 appeared in examination.

Step-by-step explanation:

Let's say s is the total number of students and p is the number of students who passed.

80% of the students passed, so:

0.8 s = p

If there were 10 less passers, and 15 less students (5 less failures), then the ratio of passers to failures would be 5/1.

(p − 10) / (s − p − 5) = 5 / 1

Simplify the second equation:

p − 10 = 5 (s − p − 5)

p − 10 = 5s − 5p − 25

6p = 5s − 15

Substitute the first equation.

6 (0.8 s) = 5s − 15

4.8 s = 5s − 15

0.2 s = 15

s = 75

p = 0.8 s

p = 60

60 students passed, and 75 appeared in examination.

5 0
3 years ago
Thee questionn is beloww
Phantasy [73]

Given:

m\angle ABC=60

To find:

The m\angle ADC.

Solution:

In circle B, \angle ABC is central angle and \angle ADC is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

m\angle ABC=2(m\angle ADC)         [Central angle theorem]

60=2(m\angle ADC)

Divide both sides by 2.

\dfrac{60}{2}=m\angle ADC

30=m\angle ADC

Therefore, m\angle ADC=30.

6 0
3 years ago
A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?
kogti [31]

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

8 0
3 years ago
A store has 1173 pairs of socks. the socks are sold in packs of 4 pairs. how many packs of socks can the store sell?
Nadusha1986 [10]

Answer:

293 packs is the maximum the store can sell.

Step-by-step explanation:

Determine the number of packs that can be made with 4 pairs of socks.

(1173 pairs)/(4 pairs/pack) = 293.25 packs

We can't sell 0.25 pack (1 pair of socks), so drop that fraction to yield 293 full packs.  Donate the spare pair, so to speak, to the local IRS agent.

5 0
2 years ago
You got to find the surface area​
vladimir1956 [14]

Answer:

156 sq. units

Step-by-step explanation:

divide the prism into 2D shapes using the net. Then, use the numbers to find the length and width. Multiply the length and width of each 2D shape. Finally, add all the numbers you got to get the sum of 156 sq. units.

7 0
3 years ago
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