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
Levart [38]
3 years ago
15

rhombus CDEF is shown below. If the slope of FC is 25, what must be the slope of CD in order for CDEF to be a square?

Mathematics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

-\dfrac{1}{25}

Step-by-step explanation:

Given the rhombus CDEF, sides FC and CD are adjacent sides.

Using coordinate geometry, to proof that a quadrilateral is a square, with regards to the slope, the slope of adjacent segments must be negative reciprocals.

In fact, by definition: Two lines with slopes m_1$ and m_2 are perpendicular if:

m_1=-\dfrac{1}{m_2}

Therefore if :

  • FC and CD are adjacent segments
  • Slope of FC=25

For the rhombus to be a square:

Slope of CD =-\dfrac{1}{25}

You might be interested in
A boy had 4 marbles and lost one. How many marbles does he have now?
AVprozaik [17]

Answer:

3

Step-by-step explanation:

4-1

6 0
3 years ago
Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu
Talja [164]
Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0

answer
Inverse Property of Addition
8 0
3 years ago
Read 2 more answers
I need some help... Algebra Hw
Svet_ta [14]

Answer:can't see no 1

Step-by-step explanation:

2=A

3=c

4 0
3 years ago
LaTanya leaves her house at 12:30pm and bikes at 12 mi/h to marta’s House she stays at marta’s House for 90mij both girls walk b
babymother [125]

Answer:

2.9 mi

Step-by-step explanation:

The time difference t between 12.30pm and 3.30pm is 3h.

Let the distance to Marat's house be s.

The equation to calculate velocity v is given by:

v = distance / time.

Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:

3 = s/12 + 1.5 + s/2.3

Solve this equation for s:

(1/12 + 10/23)* s = 1.5

s = 2.9

7 0
3 years ago
The sum of 444 consecutive integers is 326326326.<br> What is the second number in this sequence?
Nookie1986 [14]

Answer:

82

Step-by-step explanation:

Let's first figure out what the first number is and use that to solve for the next. The problem states that the numbers are consecutive. So the 2nd number word be 1 plus the first.

The sum of 4 consecutive numbers:

1st = x

2nd = x + 1

3rd = x + 2

4th = x + 3

The sum of 4 consecutive number is 326.

1st + 2nd + 3rd + 4th = 326

x + (x + 1) + (x + 2) + (x + 3)  = 326

Combine like terms:

4x + 6 = 326

Then we subtract 6 from both sides to isolate 4x:

4x + 6 - 6 = 326 - 6

4x = 320

Then we divide both sides by 4 to isolate x:

4x/4 = 320/4

x = 80

So the first number is 79

Now to get the second, let's just add 1.

80 + 1 = 81

Let's check if our answer would be correct:

80 + 81 + 82 + 83

= 326

5 0
3 years ago
Read 3 more answers
Other questions:
  • ⚠️❗️What is the volume of the regular pyramid below?
    10·2 answers
  • What is the area of Figure ABCD?<br> answer choices are A:54 B:60 C:66 D:72
    13·1 answer
  • The slope of the line is ___.
    12·1 answer
  • Solve 5(x + 3) = 3x - 4<br>Show clear algebraic working,​
    9·2 answers
  • One-half the sum of x and 10
    9·1 answer
  • What is the slope of the line described by the equation below?
    11·1 answer
  • Help me plssssssssssssssssssssssss
    13·1 answer
  • Question down below down below
    15·1 answer
  • What is 10x5/6 pls helppp thank you
    10·1 answer
  • La proposición: La suma de un número par con un impar siempre el resultado es impar y la suma de números impares siempre es par.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!