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3 years ago

Given: △ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20 Find: AE

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Answer:

The length of AE is 11.8 units.

Step-by-step explanation:

Given the triangle ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20. we have to find the length of side AE.

In ΔACE and ΔABC

∠A=∠A (Common)

∠ABC=∠ACE (Given)

∴ By AA similarity, ΔACE is similar to ΔABC

Hence by triangle proportionality theorem,

$\frac{CE}{BC}=\frac{AE}{AC}=\frac{AC}{AB}$

⇒ $\frac{AE}{AC}=\frac{AC}{AB}$

⇒ $\frac{AE}{20}=\frac{20}{34}$

⇒ $AE=\frac{20}{34}\times 20=\frac{400}{34}=11.8units$

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HELP PLEASEEE with steps

zysi [14]

<h3>Answer: Choice C) 421.9</h3>

=======================================

Explanation:

You're on the right track. You wrote down the proper expression to get the final answer, assuming you meant to write 75/4 as the third term inside the parenthesis. This works because each time you cut the side length in half to get each smaller triangle's side. The 3 is because there are 3 sides for each of the triangles. Much of this I have a feeling you already know as you wrote down the expression on the page, though I'm not 100% sure of your mindset. Computing this expression leads to 421.875 which rounds to 421.9

note: an alternative is to write 3*75 + 3*75/2 + 3*75/4 + 3*75/8, though that is more work. It's better to have that 3 factored out.

8 0

3 years ago

What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the righ

Alenkasestr [34]

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2. It will use a closed circle (because x = -2 is part of the solution set).

6 0

3 years ago

Laura sees a horse pulling a buggy. She wonders how it can accelerate if the action of the horse pulling the cart would causes a

KatRina [158]

Answer:

The net forces exerted on the horse and cart are not the same, so they are not balanced forces.

Step-by-step explanation:

Please see the Newton's 2nd Law which states that an object accelerates if there is a net or unbalanced force on it. In this scenario there is just one force exerted on the wagon i.e: the force that the horse exerts on it. The wagon accelerates because the horse pulls on it. And the amount of acceleration equals the net force on the wagon divided by its mass.

As there are two forces the push and pull the horse; the wagon pulls the horse backwards, and the ground pushes the horse forward. The net force is determined by the relative sizes of these two forces.

If the ground pushes harder on the horse than the wagon pulls, there is a net force in the forward direction, and the horse accelerates forward, and if the wagon pulls harder on the horse than the ground pushes, there is a net force in the backward direction, and the horse accelerates backward.

If the force that the wagon exerts on the horse is the same size as the force that the ground exerts, the net force on the horse is zero, and the horse does not accelerate.

7 0

3 years ago

Read 2 more answers

Which table shows a proportional relationship between x and y? x 2 3 5 6 y 3 4 7 9 x 4 6 8 10 y 6 8 10 12 x 1 5 8 10 y 15 75 120

AysviL [449]

Answer:

Only the 3rd table shows a proportional relation between x and y.

Step-by-step explanation:

The first table is

x 2 3 5 6

y 3 4 7 9

Here y is not increasing in uniform rate with x. So, the relation is not proportional.

The second table is

x 4 6 8 10

y 6 8 10 12

Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.

The third table is

x 1 5 8 10

y 15 75 120 150

Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.

The fourth table shows

x 3 9 10 15

y 1 3 4 5

Here also y is not increasing in uniform rate with x. So, the relation is not proportional.

Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)

5 0

3 years ago

diego has 90 songs on his playlist. how many songs are there for each genre ? 40% rock , 10% country , 30% hip hop , the rest is

hjlf

Answer:

Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Step-by-step explanation:

Given:

Total Songs on playlist = 90

rock = 40%

country = 10%

hip hop = 30%

rest is electronica.

We need to find the number of songs in each genre.

rock = 40%

So Number of songs in rock genre = $\frac{40}{100}\times90 = 36\ songs$

country = 10%

So Number of songs in country genre = $\frac{10}{100}\times90 = 9\ songs$

hip hop = 30%

So Number of songs in hip hop genre = $\frac{30}{100}\times90 = 27\ songs$ .

and rest is electronica genre.

Number of songs in electronica genre can be calculated by Subtracting Number of songs in rock genre and Number of songs in country genre and

Number of songs in hip hop genre from Total number of songs.

framing in equation form we get;

Number of songs in electronica genre = $90-30-9-27 = 24\ songs$

Hence Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

3 0

3 years ago

Read 2 more answers