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
Lelu [443]
3 years ago
11

Trapezoid ABCD has vertices A(1,6) B(-2,6) C(-10,-10) and D(20,-10). Find the measure of ABCD’s midsegment to the nearest tenth

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

16.5 units

Step-by-step explanation:

The midsegment is the distance between the midpoints of the nonparallel sides of the trapezoid.

The trapezoid ABCD has vertices A(1,6) B(-2,6) C(-10,-10) and D(20,-10).

We want to find the midsegment of ABCD to the nearest tenth.

The midpoint of BC is;

( \frac{ - 2 +  - 10}{2} , \frac{6 +  - 10}{2} ) = ( - 6, - 2)

The midpoint of AD is :

( \frac{1 +  20}{2} , \frac{6 +  - 10}{2} ) = ( 10.5, - 2)

The length of the midsegment is the distance from (-6,2) to (10.5,2)

=   |10 .5 -  - 6|  = 16.5

You might be interested in
This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.
Elina [12.6K]

Answer:

The total points by Washington High School =  162 points

The total points by  Johnson High School   =  159 points

The total points by  Roosevelt High School =  108 points

The total points by  Lewis High School =  196 points

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places  = 10 x ( 10) = 100 points

6 second places  = 6 x ( 8) = 48 points

2 first places  = 2 x ( 7) = 14 points

So, the total points by  Washington High School  = Sum of all points  

=  100 + 48 + 14   =  162 points     .............. (1)

About Johnson High School

8 first places  = 8 x ( 10) = 80 points

9 second places  = 9 x ( 8) = 72 points

1 first places  = 1 x ( 7) = 7 points

So, the total points by  Johnson High School  = Sum of all points  

=  80 + 72 + 7   =  159 points    .............. (2)

About Roosevelt High School

4 first places  = 4 x ( 10) = 40 points

5 second places  = 5 x ( 8) = 40 points

4 first places  = 4 x ( 7) = 28 points

So, the total points by  Roosevelt High School  = Sum of all points  

=  40 + 40 + 28   =  108 points  .............. (3)

About Lewis High School

3 first places  = 3 x ( 10) = 30 points

3 second places  = 3 x ( 8) = 24 points

6 first places  = 6 x ( 7) = 42 points

So, the total points by  Lewis High School  = Sum of all points  

=  30 + 42 + 24   =  96 points      .............. (4)

Now, comparing all four equation, we get that:

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points  = 162 - 159 = 2 points

6 0
3 years ago
8x(12+7-9)-(4+10) what’s the answer
navik [9.2K]

Equation- 8x(12+7-9)-(4+10)

Answer- 80x−14

6 0
2 years ago
A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the he
yawa3891 [41]

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

3 0
3 years ago
Color blindness is an inherited characteristic that is more common in males than in females. If M represents male and C represen
DerKrebs [107]

Answer:

The probability that a randomly selected person is not color blind is 0.958

Step-by-step explanation:

Given,

C represents red-green color blindness,

Also, the probability that a randomly selected person is color blind,

P(C) = 0.042,

Thus, probability that a randomly selected person is not color blind,

P(C') = 1 - P(C) = 1 - 0.042 = 0.958

4 0
3 years ago
The zeros of function d are -3 and 8 which expression could be a factor of function d?
galina1969 [7]

Answer:

x + 3

Step-by-step explanation:

When you substitute the x for -3, it will equal 0. This means it's a zero of the function.

5 0
3 years ago
Other questions:
  • Compare.Write <,>,or =.
    15·2 answers
  • Solve for x² in x²-3x+2=0​
    11·2 answers
  • I need help to solve this
    7·1 answer
  • a used car salesperson receieves a commission of 1/12 of the sales price of the car for each car he sells. What would the sales
    14·1 answer
  • Please help me idk this
    14·1 answer
  • I NEED HELP PLEASE PLEASE HELP ME !!!! :(
    10·1 answer
  • BD=16 and AC the<br> perpendicular bisector of BD.
    14·2 answers
  • LITTERLY HELP ME PLEASEE..... 2/x-4x/2x-3=-2<br> PLEASEE I INSERTED A PIC
    9·1 answer
  • What is the linear of 1 ,5​
    8·1 answer
  • Math please help, it is Aleks
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!