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Naddika [18.5K]
2 years ago
7

The question has to do with finding the proven with the given and I’m not sure what to do

Mathematics
2 answers:
Snezhnost [94]2 years ago
8 0

The reason for ∠8 ≅ ∠4 is alternate exterior angles

The question has to do with finding the proven with the given.

We have been given line f is parallel to line g.

We need to prove angle 8 is congruent to angle 4.

From given figure we observe that line f || line g and these parallel lines are intersected by a transversal.

And the angle 8 are angle 4 are alternate exterior angles.

We know that alternate exterior angles are congruent.

so, ∠8 ≅ ∠4

Therefore, the reason for ∠8 ≅ ∠4 is alternate exterior angles

Learn more about alternate exterior angles here:

brainly.com/question/2279752

#SPJ1

Oduvanchick [21]2 years ago
7 0

Using the two parallel line theorems we proved that ∠8 ≅ ∠4.

In the given question,

Given: f || g

Prove: ∠8 ≅ ∠4

We using given diagram in proving that ∠8 ≅ ∠4

Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So

∠8≅∠6

Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."

∠6≅∠4

Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."

∠8 ≅ ∠4

Hence, we proved that ∠8 ≅ ∠4.

To learn more about parallel line theorems link is here

brainly.com/question/27033529

#SPJ1

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Part A
denis-greek [22]

Answer:

252/193

Step-by-step explanation:

According to the question

volume=36cm^3

Radius=3cm

Now

h= v/πr^2

=36/π*3^2

=36*7/193

=252/193cm

7 0
2 years ago
One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? To the nearest hundredth? Show your
Leokris [45]

Answer:

3.8 ; 3.79 ; 3

Step-by-step explanation:

Given that:

1 gallon is equal to about 3.785 litres

3.785 to the nearest tenth :

Tenth digit = 7 ; round up 8 to 1 and add to 7

Hence,

3.785 = 3.8 (nearest tenth)

3.785 to the nearest hundredth :

Hundredth digit = 8 ; round up next digit 5 to 1 and add to 8

3.785 = 3.79 ( nearest hundredth)

What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?

The greatest Number of whole liters of water that could be poured into a 1 gallon container without it overflowing is 3 liters because, rounding up 3.785 to the nearest integer of 4 means we will exceed the maximum litres by about 0.215 gallons and hence, cause the container to overflow.

3 0
3 years ago
in 1990, jerry’s gross pay was $78,000. in that year, the maximum taxable income for social security was $51,300 and the social
Alina [70]
This isn’t a question!
3 0
3 years ago
Three pirates named Ahab sparrow and Davy play a game. The pirates have total of 210 coins, and each pirate has a different numb
nignag [31]

No of coins Sparrow had in the beginning 92 coins

Step-by-step explanation:

Total coins = 210

Current ratio = 4:5:6

It implies 210 needs to be split into 15 parts (4+5+6)

So, each part = 210/15 = 14 coins

Again which implies 14*4 : 14*5 : 14*6 = 56 : 70 : 84

So before the game began,

No of coins Ahab had = (56 - 5) = 51

No of coins Davy had = (84 - 7) = 67

Hence, No of coins Sparrow had = (210 - 51 - 67) = 92 coins

8 0
3 years ago
What is the fractional notation for 0.097
slavikrds [6]
0.097 is 97/1000

Hope this helps
4 0
4 years ago
Read 2 more answers
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