1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Assoli18 [71]
3 years ago
15

Geometry i need help unit 10 assignment

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

20 senameters 2

Step-by-step explanation:

You might be interested in
LOTS OF POINTS GIVING BRAINLIEST I NEED HELP PLEASEE
Sidana [21]

Answer:

Segment EF: y = -x + 8

Segment BC: y = -x + 2

Step-by-step explanation:

Given the two similar right triangles, ΔABC and ΔDEF, for which we must determine the slope-intercept form of the side of ΔDEF that is parallel to segment BC.

Upon observing the given diagram, we can infer the following corresponding sides:

\displaystyle\mathsf{\overline{BC}\:\: and\:\:\overline{EF}}

\displaystyle\mathsf{\overline{BA}\:\: and\:\:\overline{ED}}

\displaystyle\mathsf{\overline{AC}\:\: and\:\:\overline{DF}}

We must determine the slope of segment BC from ΔABC, which corresponds to segment EF from ΔDEF.

<h2>Slope of Segment BC:</h2>

In order to solve for the slope of segment BC, we can use the following slope formula:

\displaystyle\mathsf{Slope\:(m)\:=\:\frac{y_2 \:-\:y_1}{x_2 \:-\:x_1}}  }

Use the following coordinates from the given diagram:

Point B:  (x₁, y₁) =  (-2, 4)

Point C:  (x₂, y₂) = ( 1,  1 )

Substitute these values into the slope formula:

\displaystyle\mathsf{Slope\:(m)\:=\:\frac{y_2 \:-\:y_1}{x_2 \:-\:x_1}}\:=\:\frac{1\:-\:4}{1\:-\:(-2)}\:=\:\frac{-3}{1\:+\:2}\:=\:\frac{-3}{3}\:=\:-1}

<h2>Slope of Segment EF:</h2>

Similar to how we determined the slope of segment BC, we will use the coordinates of points E and F from ΔDEF to find its slope:

Point E:  (x₁, y₁) =  (4, 4)

Point F:  (x₂, y₂) = (6, 2)

Substitute these values into the slope formula:

\displaystyle\mathsf{Slope\:(m)\:=\:\frac{y_2 \:-\:y_1}{x_2 \:-\:x_1}}\:=\:\frac{2\:-\:4}{6\:-\:4}\:=\:\frac{-2}{2}\:=\:-1}

Our calculations show that segment BC and EF have the same slope of -1.  In geometry, we know that two nonvertical lines are <u>parallel</u> if and only if they have the same slope.  

Since segments BC and EF have the same slope, then it means that  \displaystyle\mathsf{\overline{BC}\:\: | |\:\:\overline{EF}}.

<h2>Slope-intercept form:</h2><h3><u>Segment BC:</u></h3>

The <u>y-intercept</u> is the point on the graph where it crosses the y-axis. Thus, it is the value of "y" when x = 0.

Using the slope of segment BC, m = -1, and the coordinates of point C, (1,  1), substitute these values into the <u>slope-intercept form</u> (y = mx + b) to solve for the y-intercept, <em>b. </em>

y = mx + b

1 = -1( 1 ) + b

1 = -1 + b

Add 1 to both sides to isolate b:

1 + 1 = -1 + 1 + b

2 = b

Hence, the <u><em>y-intercept</em></u> of segment BC is: <em>b</em> = 2.

Therefore, the linear equation in <u>slope-intercept form of segment BC</u> is:

⇒  y = -x + 2.

<h3><u /></h3><h3><u>Segment EF:</u></h3>

Using the slope of segment EF, <em>m</em> = -1, and the coordinates of point E, (4, 4), substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b. </em>

y = mx + b

4 = -1( 4 ) + b

4 = -4 + b

Add 4 to both sides to isolate b:

4 + 4 = -4 + 4 + b

8 = b

Hence, the <u><em>y-intercept</em></u> of segment BC is: <em>b</em> = 8.

Therefore, the linear equation in <u>slope-intercept form of segment EF</u> is:

⇒  y = -x + 8.

8 0
2 years ago
Divison probem that equals 36
DerKrebs [107]
36 Divided by 6 :]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
4 0
3 years ago
Read 2 more answers
There are 3/4 of a pizza left over from last night how many 1/8 portions are there
KiRa [710]
3/4 of the pizza is left

3/4 = 6/8

There are 6 "1/8" portions left

hope this helps
8 0
3 years ago
351×5 estimate then record the product
Marysya12 [62]
2
351
x 5
-------
1,755

351 x 5 = 1,755
7 0
3 years ago
Read 2 more answers
i don’t understand what ? is. it’s pythagorean theorem and i know for this question, you HAVE to add, but i always get an answer
Sophie [7]

P1 = 10 m²

P2 = 22 m²

P3 = ?

According to Pythagoras' theorem:

P1 + P2 = P3

P3 = 10 m² + 22 m² = 32 m²

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation shows how you can fing the number of minutes in one year
    6·2 answers
  • Look at the table showing different prices for oranges.
    14·2 answers
  • Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour
    15·1 answer
  • 3x ^+6=3^4 please help me
    14·1 answer
  • There are stuffed animals for 3 for 7 dollars someone wants to buy a stuffed animal for each of the 24 children what proportion
    7·1 answer
  • What is 0.98 0.27 and0.34 from greatest to least
    13·1 answer
  • How much will it cost to get 4 tires if the 4th one is free
    5·1 answer
  • What is the equation of the line?
    12·2 answers
  • A student's rectangular desk is 30 inches long and 18 inches wide. The teacher's desk is similar to the student's desk and has a
    11·2 answers
  • Please help me with this problem
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!