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
emmasim [6.3K]
3 years ago
13

Given rectangle QUAD, If DU = 5x - 4 and QP = 2x + 7, then find the length of DU.

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

DU = 86

Step-by-step explanation:

Properties of a rectangle,

- Opposite sides are equal in measure.

- Diagonals of a rectangle are equal.

- Diagonals bisect each other.

In the given rectangle QUAD,

Diagonals AQ and DU bisect each other at P.

AQ = DU

2(QP) = DU [Since, AQ = 2(PQ)]

2(2x + 7) = 5x - 4

4x + 14 = 5x - 4

5x - 4x = 14 + 4

x = 18

Since, DU = 5x - 4

DU = 5(18) - 4

     = 90 - 4

     = 86

Therefore, measure of DU = 86 units

You might be interested in
-2x + 8 = 18 please help. What does x equal
kakasveta [241]

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: -2x = 10
  2. Divide both sides by -2: x = -5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

6 0
3 years ago
Read 2 more answers
Use distributive law evaluate
Cerrena [4.2K]

Answer:

The distributive property allows you multiply a sum in parenthesis by multiplying each addend separately, then add the products.

Step-by-step explanation:

How to use the distributive law example.

2(x+4) = 16

To use the distributive law in this example multiply 3 by all terms in the parenthesis. Multiply 2 and x, then 2 and 4 to open the parenthesis.

2x+8=16

That is how you use the distributive law.

To continue solving, subtract 8 from both sides.

2x+8-8=16-8

2x=8

Divide 2 from both sides.

2x/2=8/2

x=4

Hope this helps!

If not, I am sorry.

6 0
2 years ago
Can u guys plz help me with these questions
Vsevolod [243]

Answer:

on question #2, the answer is A.

Step-by-step explanation:

19-5 is 14.

<em>Hope this helps!</em>

7 0
2 years ago
Read 2 more answers
Write the Prime factors that 24 and 36 have in common By showing them multiplied together
lakkis [162]

The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3

<h3>How to get prime factors? </h3>

A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.

Now, we have;

Prime factors of 36; 2 × 2 × 3 × 3

Prime factors of 24; 2 × 2 × 2 × 3

The prime factors that they have in common will be; 2 × 2 × 3

Read more about Prime factors at; brainly.com/question/1081523

#SPJ1

5 0
2 years ago
Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately r
Marizza181 [45]
B is your answer !!!
6 0
3 years ago
Read 2 more answers
Other questions:
  • Tentukan himpunan penyelesaian dari sistem pertidaksamaan berikut<br> 0≤x≤4;0≤y≤4;x+2y≤6
    12·1 answer
  • Put this in order from least to greatest 80,850,000,000 805,000,000 8,850,500,805
    5·2 answers
  • URGENT help me please
    10·1 answer
  • The sum of two numbers is 15. Twice one number equals 3 times the other. Find both numbers
    9·1 answer
  • Round to the nearest hundred thousand 992,449
    7·2 answers
  • Determine the quotient: 2 4/7÷1 3/6
    7·2 answers
  • Discussion Topic
    10·1 answer
  • Find the three consecutive square numbers whose sum is 149.
    12·2 answers
  • When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply
    10·1 answer
  • What is the measure of this line?<br> 80 mm<br> 840mm<br> 84mm<br> 80.4 mm
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!