All categories

3 years ago

High school geometry anyone?

Mathematics

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

Therefore the length of EC is 6.67 ft.

Step-by-step explanation:

Given:

BC = 12 ft

AC = 6.75 ft

DE = 3ft

DE is parallel to AC.

Angle C is 60°.

Angle A and Angle BDE are both right angles.

Triangle ABC is similar to Triangle DBE.

To Find:

EC = ?

Solution:

Δ ABC ~ Δ DBE ..................Given

If two triangles are similar then their sides are in proportion.

$\frac{AB}{DB} =\frac{BC}{BE} =\frac{AC}{DE}\ \textrm{corresponding sides of similar triangles are in proportion}\\$

On substituting the given values we get

$\frac{BC}{BE} =\frac{AC}{DE}$

$\frac{12}{BE} =\frac{6.75}{3}\\\\BE=5.33$

Now as B - E - C,

$BC=BE+EC$ ..........Addition property

substituting the given values we get

$12=5.33+EC\\\\EC=12-5.33=6.67\ ft$

Therefore the length of EC is 6.67 ft.

You might be interested in

(20 points!) In triangle RSW, line segment RW is a median and is equal to 27 cm. What is the length of RX?

Fofino [41]

Answer:

Option D. 18 cm

Step-by-step explanation:

we know that

A centroid of a triangle is the point where the three medians of the triangle meet.

A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid divides each median in a ratio of 2:1

In this problem the centroid of triangle RST is the point X

$\frac{RX}{XW}=\frac{2}{1}$

$RX=2XW$ -----> equation A

$RX+XW=27$ -----> equation B

substitute equation A in equation B

$2XW+XW=27$

Solve for XW

$3XW=27$

$XW=9\ cm$

Find the value of RX

$RX=2XW$ ----- $RX=2(9)=18\ cm$

3 0

3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Tasya [4]

$\displaystyle y = Atan(Bx - C) + D$

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:

$\displaystyle Phase\:[Horisontal]\:Shift → \frac{-\frac{π}{6}}{1} = -\frac{π}{6} \\ Period → \frac{π}{1} = π$

Therefore we have our answer.

Extended Information on the trigonometric function

$\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{π}{B} \\ Amplitude → |A|$

NOTE: Sometimes, your vertical shift might tell you to extend the troughs on each end of your graphs, beyond the midline.

* All tangent functions have NO AMPLITUDE.

I am joyous to assist you anytime.

8 0

3 years ago

Factor the following polynomial: 35gh-15h

Dovator [93]

Answer:

5h(7g - 3)

Step-by-step explanation:

35gh-15h

Factor 5h out

5*7*g*h - 3*5*h

5h(7g - 3)

5 0

4 years ago

1) y + 6 =20

alex41 [277]

Answer:

1. 14

2. 22

3. 3

4. 14

5. 10

6. 15

Step-by-step explanation:

1. 20-6=14

2. 22 bc it just is

3. 15-12

4. 16-2

5. 10+4

6. 5+10 is 15

This was too easy. Are these supposed to be trick questions.

4 0

3 years ago

Find x and y. Please help, I will give brainiest answer.

Inessa05 [86]

Answer:

x = 3 and y = 2

x = 1.25 and y = 1.75

Step-by-step explanation:

Part 1:

See the diagram first.

If the two arrow lines are parallel then, the two triangles are similar.

So, the corresponding sides of the triangles are proportional.

So, $\frac{3}{1.5} = \frac{6}{x} = \frac{4}{y}$

Hence, x = 3 and y = 2 (Answer)

Part 2:

See the diagram first.

If the two arrow lines are parallel then, the two triangles are similar.

So, the corresponding sides of the triangles are proportional.

So, $\frac{10}{8} = \frac{x + 5}{5} = \frac{y + 7}{7}$

⇒ $x + 5 = \frac{50}{8} =6.25$

⇒ x = 1.25

Again, $y + 7 = \frac{70}{8} =8.75$

⇒ y = 1.75

Hence, x = 1.25 and y = 1.75 (Answer)

7 0

3 years ago