All categories

3 years ago

Can someone help me on this?? Im usually good at geometry, but I don't understand this.

Mathematics

2 answers:

RUDIKE [14]3 years ago

7 0

Because of the given information angles 3 and 5 are considered alternate interior angles. Think alternate because they are on opposite sides and interior because they are on the inside.

These types of angles are congruent, therefore if m<5 = 58, then m<3 would also = 58.

deff fn [24]3 years ago

4 0

If d is a transversal of parallel v and w, the angles 3 and 5 are alternate interior. Therefore, they are congruent. Angle 3 and 5 both measure 58.

You might be interested in

Garrett can order stickers from two companies. Company A charges a $30 design fee plus $0.80 per sticker. Company B charges a $1

siniylev [52]

Answer:

Garrett can order stickers from two companies. Company A charges a $30 design fee plus $0.80 per sticker. Company B charges a $14 design fee plus $1.20 per sticker. How many stickers would Garrett have to order for the cost at both companies to be the same?

Step-by-step explanation:

i got it right

8 0

2 years ago

In a group of a hundred and fifty students attending a youth workshop in mombasa, 125 of them are fluent in kiswahili, 135 in en

jek_recluse [69]

Answer:

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = 1.1

Step-by-step explanation:

Step(i):-

Given total number of students n(T) = 150

Given 125 of them are fluent in Swahili

Let 'S' be the event of fluent in Swahili language

n(S) = 125

The probability that the fluent in Swahili language

$P(S) = \frac{n(S)}{n(T)} = \frac{125}{150} = 0.8333$

Let 'E' be the event of fluent in English language

n(E) = 135

The probability that the fluent in English language

$P(E) = \frac{n(E)}{n(T)} = \frac{135}{150} = 0.9$

n(E∩S) = 95

The probability that the fluent in English and Swahili

$P(SnE) = \frac{n(SnE)}{n(T)} = \frac{95}{150} = 0.633$

Step(ii):-

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = P(S) + P(E) - P(S∩E)

= 0.833+0.9-0.633

= 1.1

Final answer:-

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = 1.1

8 0

2 years ago

Question 20

Andrej [43]

The distance between the bottom of the lighthouse and the boat is 77.6m.

<h3>What is the distance between the bottom of the lighthouse and the boat?</h3>

The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.

In order to determine the required distance, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where:
a = length
b = base
c = hypotenuse

125² = 98² + b²

b² = 125² - 98²

b = √(25² - 98² )

b = 77.6m

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

#SPJ1

3 0

2 years ago

How many sides does a regular polygon have if the measure of one of it's interior angles is 144?

butalik [34]

Each Interior Angle = 180° - (360 / sides)
144 = 180 - (360 / sides)
(360 / sides) = 36
sides = 360 / 36
sides = 10
It is a decagon.
Source:
http://www.1728.org/polygon.htm

6 0

3 years ago

Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller

gregori [183]

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90° Combine like terms on the left

Solution

5x + 30 = 90 Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30 Combine

5x = 60 Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

smallest angle = 12
Larger angle = 4*12 + 30 = 78

6 0

2 years ago