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
Vladimir79 [104]
3 years ago
5

DEFG is a rectangle. DF = 3x – 3 and EG = x + 21. Find the value of x and the length of each diagonal.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
Check the picture below.

bearing in mind that in a rectangle, both diagonals are the same length, therefore then,

\bf DF=EG\implies 3x-3=x+21\implies 2x=24
\\\\\\
x=\cfrac{24}{2}\implies x=12\\\\
-------------------------------\\\\
DF=3(12)-3\qquad \qquad \qquad \qquad EG=(12)+21

You might be interested in
Roger is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even}, and let B = {the sum of
____ [38]
The answer is A ∪ B = {2, 4, 5, 6, 8, 10, 12}

A = {2, 4, 6, 8, 10, 12}
B = {5, 10}

A ∪ B. The union of two sets is everything in both sets. So we will combine the outcomes in set A and set B. Since in set B 10 is an even number, we will just add number 5 in <span>A ∪ B.
</span>
A ∪ B = {2, 4, 5, 6, 8, 10, 12}
5 0
3 years ago
What is 2.25% of 24 please help
riadik2000 [5.3K]
0.54

24 x 0.0225 would get u 0.54
4 0
4 years ago
What are the next three terms in the sequence 2, -4, -16, 32
Nikitich [7]

Answer:

128, -256, -1024

Step-by-step explanation:

multiply 32 by 4, multiply 128 by -2, multiply -256 by 4

5 0
2 years ago
X + 5y =100<br> x +y = 60<br> Which ordered pair is the solution of the system?
Simora [160]

Answer:

lets start with the easy equation. X+Y=60. so we take 60 and subtract Y to get X by itself. meaning X = 60-Y. every time we see X replace with (60-Y).

X + 5Y = 100 change to

60-Y+5Y = 100

5Y - Y = 4y.

60+4Y = 100. 100 minus the 60 = 40. 4Y=40. divide by 4. Y = 10. ok so now we solve for X. X + Y (or 10) = 60. 60-10 = 50. X = 50.

Step-by-step explanation:

4 0
4 years ago
In 2000 there were approximately 27 million people 18-24 years old in the United States.
Semmy [17]
I don’t know why I never think there’s that many people
5 0
3 years ago
Other questions:
  • What is 7/8 divided by 3/4
    5·2 answers
  • Solve 3(x-2)&lt;18 <br> a) x&lt;8<br> b) x&gt;8<br> c) x&lt;-8<br> d) x&gt;-8
    13·1 answer
  • 3.4 is 20% of what number?<br> A. 6.8<br> B. 17<br> C. 8.5<br> D. 68
    12·1 answer
  • Round 17.68694 to the nearest tenth
    15·1 answer
  • Someone help it’s due in some time
    9·2 answers
  • In the equation y = 2/3 x - 5, name the slope (m), and the y-intercept (b).
    14·1 answer
  • Based on this stock price model, what is the best prediction of what the price will do next?
    14·1 answer
  • A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x rep
    9·1 answer
  • Find the unknown sizes of angles​ <br>(Urgently needed please help to solve)
    5·1 answer
  • Time to use my tools
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!