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
alexgriva [62]
4 years ago
13

Please help and please explain how you got the answer.

Mathematics
1 answer:
Vilka [71]4 years ago
4 0
Diagonals of a rectangle are equal.
AC = BD
2(x - 3) = x + 5 Remove the brackets.
2x - 6 = x + 5 Add 6 to both sides.
2x = x + 5 + 6
2x = x + 11 Subtract x from both sides.
2x - x = 11
x = 11

AC = 2 (11 - 3) = 2*(8) = 16 <<<< Answer
BD = x + 5 = 11 + 5 = 16 <<<< Answer



You might be interested in
The sum of two numbers is 96 the larger number is nine less than four times the smaller number find both numbers
sammy [17]

Answer:

21 and 96

Step-by-step explanation:

Let x and y be the two numbers such that x>y.

As the sum of both the numbers is 96.

x+y=96...(i)

As the larger number is nine less than four times the smaller number,

So, x=4y-9

From equation (i),

4y-9+y=96

5y=96+9=105

So, y=105/5=21

By using equation (i),

x=96-y=96-21=75

Hence, both the numbers are 21 and 96.

3 0
3 years ago
A piece of string is 112 inches long. Isabel wants to cut it into 2 pieces so that one piece is three times as long as the other
lukranit [14]
Answer:28inches & 84inches

First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...

112=3x+x

Now lets solve for x.

112=4x
divide both sides by 4
28 inches=x

Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.

28*3=84 inches
28+84=112

4 0
4 years ago
Heather is cashier, she can ring up 12 customers in 9 minutes at this rate how many minutes does it take to ring up 4 customers
stellarik [79]

Answer:

5.2 minutes for 4 costomers.

Step-by-step explanation:

12/9=1.333 (3 repeating)

1.3 x 4 = 5.2

5 0
3 years ago
Solve for x 2x/3 +1 =3
Bess [88]

Answer:

x=3

Step-by-step explanation:

Hello,

The first thing you do is set up your equation, and we are solving for x so we are going to get x by itself on one side of the = sign.

       2x/3+1=3        First thing: subtract 1 from BOTH sides.

               -1  -1

----------------------

          2x/3=2       Multipliy by 3 on both sides

              *3 *3

-----------------------

            2x=6         Divide by 2 on both sides

             /2 /2

-----------------------

           x=3

I hope this helped you!!!

5 0
3 years ago
In a​ triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is
SSSSS [86.1K]
Angle is 100 degrees 100
7 0
3 years ago
Other questions:
  • Find the number of sides of a regular polygon whose interior angles are 157.5
    5·1 answer
  • Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. How many hou
    7·1 answer
  • How do you divide <br> 2 / 7367
    6·2 answers
  • After a 15% off sale, some jeans were $11.50,how much were the jeans before the sale
    12·2 answers
  • If x = 2 and y = 14 , evaluate the following expression: x y Give your answer as a fraction in its simplest form.
    13·2 answers
  • Help would be greatly appreciated!
    7·2 answers
  • A line has a slope of -8 and a y-intercept of 1 what is its equation in slope intercept form
    9·2 answers
  • Jeremy Earned $33 for four hours of work .how much would he earn for seven hours of work at the same rate
    11·1 answer
  • Help please help U get brainlist
    12·1 answer
  • Which point is located at 2 7/10 PLEASE ANSWER QUICK
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!