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
frutty [35]
3 years ago
11

Question 6 of 15

Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

LE=5\ units

Step-by-step explanation:

we know that

In a rectangle, the two diagonals are congruent and each diagonal bisects the other

so

LN=2KE ----> equation A

KE=LE -----> equation B

step 1

Find the value of x

solve equation A

LN=2KE

substitute the given values

(2x+2)=2(3x-7)

solve for x

2x+2=6x-14\\6x-2x=2+14\\4x=16\\x=4

step 2

Find the value of KE

KE=3x-7

substitute the value of x

KE=3(4)-7=5\ units

Remember that

KE=LE  -----> by each diagonal bisects the other

therefore

LE=5\ units

You might be interested in
Bianca deposited $1500 into asavings account for whichsimple interest is calculatedquarterly. If her $1500 grew to$1509 after 3
Furkat [3]

Solution:

Given;

P=1500,A=1509,t=3months=0.25year\begin{gathered} A=P(1+\frac{r}{4})^{4t} \\  \\ 1509=1500(1+\frac{r}{4})^{4(0.25)} \\  \\ \frac{1509}{1500}=1+\frac{r}{4} \\  \\ 1.006-1=\frac{r}{4} \\  \\ r=4(0.006) \\  \\ r=0.024 \end{gathered}

Thus, the yearly interest rate on Bianca's account is 2.4%

6 0
1 year ago
What function equation is represented by the graph?
KATRIN_1 [288]

Answer:

f(x) = -2.5x + 4

Step-by-step explanation:

If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is

f(x) = -2.5x + 4

I hope this helps

(I deserve to be marked the brainliest)

6 0
2 years ago
A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en
elena55 [62]

9514 1404 393

Answer:

  1.67 m, 8.33 m

Step-by-step explanation:

If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...

  1 : (1+5) = 1 : 6

The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

The lengths of the pieces are 8.33 m and 1.67 m.

6 0
3 years ago
I need a little extra help with number three
diamong [38]

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

                -2x² + 8x = y + 2

                -2(x² - 4x + 4) = y + 2 - 8

                -2(x - 2)² = y - 6

                    (x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry =   x = 2

y-intercept

                 f(0) = -2(0)² + 8(0) - 2

                 f(0) = 0 + 0 - 2

                 f(0) = -2

Domain    (-∞, ∞)

Range    (-∞, 6]

See the graph below

6 0
3 years ago
What is a real world example of rate of change
Tatiana [17]

Answer:

Step-by-step explanation:

A population of rats increasing by 40 rats per week. A car traveling 68 miles per hour  

distance traveled changes by 68 miles each hour as time passes)

3 0
3 years ago
Other questions:
  • y + 7 = - 2/5 * (x - 10) . What is theThe point-slope of the equation of the line that passes through (- 5, - 1) and (10, - 7) i
    6·1 answer
  • When the squares of two consecutive even integers are added, the sum is 244. Find<br>the integers.​
    11·1 answer
  • The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i
    8·1 answer
  • A flare was launched straight up from the ground with an initial velocity of 176 ft/s and returned to the ground after 11 s. The
    8·2 answers
  • What is the answer to 3-2y=3
    10·2 answers
  • Show your work for full credit Use the SUBSITUTION method or ELIMINATION method to solve this system of equations:
    11·1 answer
  • Does anyone know the answer for the question below.
    7·2 answers
  • A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brain
    8·2 answers
  • Please help on both! And please put answer and not a website!
    13·1 answer
  • 20+30+20.13 what is it
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!