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
ipn [44]
3 years ago
7

Jerome is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning

coordinates as given, where RS is the midsegment of trapezoid KLMN.
Since RS is the midsegment of trapezoid KLMN, the coordinates of R are ( ____, ____ ) and the coordinates of S are (a+d,c).

The slope of KL is 0.

The slope of RS is 0.

The slope of NM is ____.

The slope of each segment is 0, therefore, the midsegment is parallel to the bases.



Answer Choices :

a, b, c, d

a+b, a+d

0, 1, 2

Mathematics
2 answers:
Bingel [31]3 years ago
8 0

Answer:

coordinates of R(b,c)

slope of NM is 0.

Step-by-step explanation:

The midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

The midpoint of the line segment NK is given by

(\frac{0+2b}{2},\frac{0+2c}{2})

∴R(b,c)

The slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Slope of RS is

m_{RS} =\frac{c-c}{a+d-b} = 0

Hence

coordinates of R(b,c)

and slope of NM is 0.

galina1969 [7]3 years ago
6 0

the coordinates of R are (b,c)

the coordinates of S are (a+d,c)


the slopes of all the segments is 0

You might be interested in
Write an<br> explicit formula for an, the nth term of the sequence 112, 28, 7, ....
mr Goodwill [35]

It's a geometric sequence

  • r=112/28=1/4

Test with third term to verify

  • 28(1/4)=7

Verified

Now

find formula

\\ \tt\hookrightarrow a_n=ar^{n-1}

\\ \tt\hookrightarrow a_n=112(1/4)^{n-1}

6 0
2 years ago
Read 2 more answers
(01.01 LC)Where is the answer to the expression 4 − 8 located on a horizontal number line? 4 units to the left of 4 4 units to t
kenny6666 [7]
Amewr
8 untis to the left
Hope tbis hrlo
3 0
3 years ago
GIVING 50 PONTS TO THE CORRECT ANSWER!! NO LINKS!! ANSWER ALL 4
marysya [2.9K]

Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is \boxed {105}\degree

2. The measure of arc ABC is \boxed {205}\degree

3. The measure of arc ADB is \boxed {190}\degree

4. The measure of arc BD is \boxed {85}\degree

5 0
3 years ago
A line is parallel to x + 2y = -2 and intersects the point (6, 9). What is the equation of this parallel line?​
xenn [34]

Answer:

The equation of the parallel line is: y = -1/2x + 12

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

x + 2y = -2

writing into the slope-intercept form

2y = - x - 2

dividing both sides by 2

y=-\frac{1}{2}x-1

comparing with the slope-intercept form y = mx+b

Thus, the slope m of the equation is: m = -1/2

We know that the parallel lines have the same slope.

Thus, the slope of a new line parallel to x + 2y = -2 is also: -1/2

Given that the line intersects the point (6, 9).

so substituting m = -1/2 and (6, 9) in the slope-intercept form to determine the y-intercept

y = mx+b

9 = -1/2(6) + b

9 = -3 + b

b = 9+3

b = 12

Thus, the y-intercept b = 12

now substituting b = 12 and m = -1/2 in the slope-intercept

y = mx+b

y = -1/2x + 12

Therefore, the equation of the parallel line is: y = -1/2x + 12

7 0
3 years ago
−8/9⋅5/6 pls only correct answers. will give 30 points
Ivan

Answer:

- 20/27

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A puppy has a mass of 4,500 grams and a kitten has a mass of 450,000 milligrams which statement is true about the animals
    8·1 answer
  • John bought a car for $20,000. He sold it for a 30% profit. From the money raised from this sale, he bought another more expensi
    6·1 answer
  • Find the value of f(x) = [2.7]<br> a. 2<br> b. 2.7<br> c. 3
    13·1 answer
  • What are the prime numbers of numbers 1-49?
    8·1 answer
  • A Horse is tied with rope in the center of grassland to graze. The length of rope is 5m. The diameter of circular garden is 50m.
    12·1 answer
  • The equation Y-3 = -2(x+5) is written in point-slope form. What is the y-intercept of the line?
    12·1 answer
  • I'll mark brainly if you do this​
    10·1 answer
  • Someone pls answer ? It’s 8,9,1,2
    9·1 answer
  • What is 6 4/9 as an improper fraction
    7·2 answers
  • SOLVE ASAP PLS I NEED FOR GRADING
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!