ABCD is a parallelogram.
AD = 12 cm.
DC = 9 cm.
The perpendicular distance of
from CD is 8 cm.
What is the perpendicular distance of AD from BC?

Answers

Answer 1

9514 1404 393

Answer:

  6 cm

Step-by-step explanation:

The area of the parallelogram is the same, either way you figure it.

  A = bh

  A = CD(length ⊥ to CD)

  A = (9 cm)(8 cm) = 72 cm²

__

  A = AD(length ⊥ AD)

  72 cm² = (12 cm)(length ⊥ AD)

  (length ⊥ AD) = (72 cm²)/(12 cm) = 6 cm

The perpendicular distance of AD from BC is 6 cm.


Related Questions

can someone please help me with numbers 11 12 13 and 14 please , and can you please explain how you got the answer?​

Answers

Answer:

11) x = 4

12) x = 12

13) A = 45

14) A = 40

Step-by-step explanation:

All triangle angles must add up to 180 degrees. If they do not, the triangle is not considered a triangle.

So for triangle 11, solve using the equation: (16x + 4) + 47 + 65 = 180. First add 47 + 65 together to get 112. Subtract 112 from both sides to get (16x + 4) = 68. Subtract 4 from both sides to get 16x = 64. Divide 16 from both sides to get x = 4. Use the same technique for the other triangle.

For triangle 12, solve using the equation: (3x + 9) + 60 + 75 = 180. Add 60 + 75 to get 135. Subtract 135 from both sides to get (3x + 9) = 45. Subtract 9 from both sides to get 3x = 36. Divide 3 from both sides to get x = 12.

For triangle 13, solve using the equation: (62 + x) + (x + 51) + 79 = 180. For this equation, add the common variable first to get 113 + 2x + 79 = 180. You can still further simplify by adding 113 + 79 to get 192. The new equation is 192 + 2x = 180. Subtract 192 from both sides to get 2x = -12. Divide 2 from both sides to get x = -6. Now, to solve for angle A, insert the x value, -6, into Angle A's expression: x + 51. The x value would change the expression into -6 + 51. Solve to get 45. Use this technique for the other triangle as well.

For triangle 14, solve using the equation: 6x + 4x + 80 = 180. First add common variables to get 10x + 80 = 180. Subtract 80 from both sides to get 10x = 100. Divide both sides by 10 to get x = 10. To solve for Angle A, insert the x value, 10, in place of x. This turns the expression 4x into 4(10). Solve to get 40.

Hope it helps!

Write six less than x as an algebraic expression.

Answers

Answer:

y = x-6

Step-by-step explanation:

6 les s than means -6 so do that. Keep up the great work!

Answer:

x-6

Step-by-step explanation: six less than x means take six away from x

The function below shows the cost of a hamburger with different numbers of toppings (t). f(t) = 1.90 + 1.40t What is the y-intercept, and what does it mean?

Answers

Answer:

[tex]1.9[/tex]

the cost of the hamburger will be [tex]\$1.9[/tex] if no toppings are added.

Step-by-step explanation:

The function is

[tex]f(t)=1.9+1.4t[/tex]

Let cost of toppings be [tex]y[/tex]

[tex]y=1.9+1.4t[/tex]

The y-intercept of a function is the value of the function when [tex]x=0[/tex]. Here number of toppings [tex]t=0[/tex].

So, the intercept of the function is [tex]1.9[/tex]

This means the cost of the hamburger will be [tex]\$1.9[/tex] if no toppings are added.

Math practice for math tmr
Graph:

Answers

Answer:

its 1/2

Step-by-step explanation:

Answer:

math

Step-by-step explanation:

The price of an item has been reduced by 55% The original price was $45. What is the price now?

Answers

Answer:

20.25

Step-by-step explanation:

100%->45

100-55=45

45%->20.25

A car is 120 inches long. A truck is 60% longer than the car.

How long is the truck

Answers

Answer:

250.8 is the answer

Write down the lower bound and the upper bound
(a) 4g measured to the nearest gram

Answers

Answer:

Lower bound 3.5,upper bound 4.5

3.5<=4<4.5

Simplify 5a + 6 – 2a + 4

Answers

Answer:

3a+10

Step-by-step explanation:

3a+6+4

3a=10

5a-2a=3a+6+4

3a=10

Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A.
The majority of employees prefer to take a lunch break and leave at the normal time each day.
В.
The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
C.
The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D.
The majority of employees prefer to skip their lunch break and leave a half-hour early.

Answers

Answer:

C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.

explanation:

just took the test on plato

Since the study yields the same results for only five of the weeks. So here the generalization could be made like option c.

What type of generalization made?

Since at the closing of the first week the company determined the majority of the employees should prefer the lunch break and also the company repeats the observational study for 10 more weeks.

So here the output is to be inconclusive. Due to this, the generalization cannot be made with respect to the selection of the given options.

hence, the option c is correct.

learn more about study here: https://brainly.com/question/24308401

Evaluate 7 1/6 - 3 5/8

Answers

Answer:

i got 3.542

Step-by-step explanation:

7 1/6 − 3  5 / 8

5/8 = 85 / 24

85/24 = 3 13/24

hope this helps

Answer:

3 13/24

Step-by-step explanation:

hope i help i have the same test and just know you will win it

The product of c and 4

Answers

Step-by-step explanation:

the product = 4× c

= 4c

plz mark my answer as brainlist plzzzz. hope this will be helpful to you.☺️

Please help!! Question is down below and I’m kinda confused

Answers

it would be the last one

HELPP PLSSS IM REALLY STUCKKKK

Answers

akmsosmwbssklwmajslsnjslwnskwlwhxlsnsn

There are 10 students in a class:7 boys and 3 girls. If the teacher picks a group of 4 at random what is the probability that everyone in the group is a boy

Answers

Answer:

Step-by-step explanation:

Probability the first pick is a girl: 7/10

Probability the second pick is a girl: 6/9

Probability the third pick is a girl: 5/8

Probability of picking 3 girls:

7/10 * 6/9 * 5/8 =

= (7 * 6 * 5)/(10 * 9 * 8)

= (7 * 1 * 1)/(2 * 3 * 4)

=7/24

Approximately 0.29 = 29%

hiii please help i’ll give you brainliest if you show your work

Answers

Answer:

385

Step-by-step explanation:

Math answers to fraction 4235 divided by 11 can be calculated as follows.

4235/11 math problems division = 385. Therefore 385 to 2 decimal places= 385

Answer:

385

(Please give me branilest) (:

Geometry
The sides of four triangles are given.
Triangle A: 6 cm, 8 cm, and 10 cm
3 2
3
Triangle B:
10
-in
in, in, and
Triangle C: 8 ft, 15 ft, and 17 ft
Triangle D: 0.32 mm, 0.96 mm, and 1 mm
gin
Which of the four triangles is obtuse?
В у

Answers

Answer:

12

Step-by-step explanation:

A Local little legend has a total of 40 players of whom 35% Are left handed how many left-handed players are there

Answers

14 players are left handed

At the deli, 2 turkey subs and 5 veggie subs cost $29. 4 turkey subs and 3 veggie subs cost
$30.

a) Create a linear system to model the equation. Include let statements

b) Solve the linear system to find the cost of a turkey sub and the cost of a veggie sub.

Answers

Answer:

4/9 of sales are veggie 5/9 are turkey

4/(4+5)=4/9

5/(4+5)= 5/9

4/9 x 27 = 12

5/9 x 27 = 15

12 veggie subs sold and

15 turkey subs sold

12+15=27 total sold

Step-by-step explanation:

if Ap=13 and AB =24 find the lengths of BP cp and fp​

Answers

Answer:

5456

Step-by-step explanation:

i ghaddd

a roll of fabric was 144 inches long a customer bought 3 feet of the fabric how many feet of fabric was left ​

Answers

Answer:

108 inches

Step-by-step explanation:

1 ft = 12 inches

12x3=36

144-36=108

108 inches is you answer

Answer:

9 ft

Step-by-step explanation:

144 in = 12 ft

so 12 - 3 = 9 ft

Hope this helps have a blessed day

22) (2n-q)-56-2,4nt4)

Answers

Answer:

?

Step-by-step explanation:

I think some of the question is missing.

Can anybody help me with this?

Answers

Answer:

i did this and till this day i dont know what it is

Step-by-step explanation:

O no baby that ain’t going to work

Can someone help me as soon as possible

Answers

Answer:

A is the answer

Step-by-step explanation:

I need help with this plzz

Answers

Answer:

5/2

Step-by-step explanation:

here you go! hope this helps

If f (x) = (x – 3)2 + 1. what is f (6)?
O-2
O 16
O 10
0.7

Answers

When doing this you would plug 6 in for every x giving you f(6)=(6-3)2+1
F(6)=(3)2+1
2•3= 6+1 =7
So your answer would be 7
Hope this helps

What is the slope of the line that travels through the origin?

Answers

Answer: The answer is 0 (An undefined slope)

Step-by-step explanation: The answer would be 0 but you can not just use 0 you have to use math terms. So in math terms undefined slope is o. ALSO if the line is Horizontal its o and if the line is Vertical it is undefined.

NOTE: 0 AND UNDEFINED iS NOT THE SAME THING

-Hope this helps

Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80.
If Brielle has 66 nickels, write and solve a linear equation to find the number of dimes she has. In standard form

Answers

Answer:

66 nickels = 66 x $0.5 = $3.30

$7.80 - $3.30 = $4.50

$4.50 / $0.10 = 45

Brielle has 45 dimes.

Answer:

She has 156 nickles in $7.80

Step-by-step explanation:

Thx

Find the arithmetic means between the terms 18 and 9

Answers

Answer:

13.5

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

So add 9+10+11+12+13+14+15+16+17+18

=135

Then divide by 10 because there is 10 terms

=13.5

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer :c

step by step explanation:

What value of n makes each statement true, pls include work

Answers

Answer:

1. n=2

2. n=12

3. n=2

Step-by-step explanation:

1

12xy³/4xⁿy=3y²/x

12x²y³=12y³xⁿ (cross multiplied)

x²=xⁿ (cancelled out (12y³))

2=n

2

(-3a/2b⁴)³=-27a³/8bⁿ

-27a³/8b¹²=-27a³/8bⁿ (cubed left side)

-216a³bⁿ =-216a³b¹² (cross multiplied)

bⁿ=b¹² (cancelled out (-216a³))

n=12

3

(xy⁶/x⁵yⁿ)²=y⁸/x⁸

x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)

x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸

y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)

y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)

y²=yⁿ (cancelled out (x⁸), simplified)

n=2

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