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
kolbaska11 [484]
3 years ago
12

Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

6x - 14 = 8x - 20\\-2x = -6\\x = 3

BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4

You might be interested in
A salesperson earns $450.20 per week plus 15% of her weekly sales. Which of the following describes the sales necessary for the
lapo4ka [179]
First we must construct an equation to model the problem. (In this case we will use an inequality instead) This is what I came up with:
         450.20+0.15s>=600.10

This equation shows how if her base earnings ($450.20) are added to 15% of her sales, represented by s, then the total will be greater than or equal to $600.10
Next, we simply solve for s. (steps shown below)

1) 450.20+0.15s>=600.10 (simply restating the inequality)
2) 0.15s>=149.90 (here I isolated the variable)
3)0.15s/0.15>=149.90/0.15 (Finally I solve for s by dividing both sides by 0.15, this will isolate s on the left and leave the answer on the right)
4) s>=999.33... (here I found the total sales the salesperson would need to reach his/her goal of earning a minimum of $600.10; the 3's after the decimal are repeating so in the next step I will round up to the nearest hundredth (b/c this is what money is rounded to and if I round down he/she would make less than her goal. This means i must round up.))
5) s>=999.34 (simple rounding; once again I rounded up b/c rounding down would slightly bring the total earnings to less than the goal)

<u>Therefore, the salesperson would need his/her sales to be $999.34 in order for his/her total earnings for the week to be at least $600.10</u> (greater than or equal to $600.10)

<u>Hope this helped!</u>
4 0
3 years ago
Steven is taking out a loan in the amount of $5,000. His choices are a 3-year loan at 5% simple interest and a 5 -year loan at 4
Andre45 [30]
I do believe it’s 250$

**The first choice:**
Principal: 5,000$
Rate(%): 5
Time(year): 3 years
A: 5,750$

**Second choice**
Principal: 5,000$
Rate(%): 4%
Time(year): 5 years
A: 6,000$

6,000-5,750=250$

Hope this helps!
8 0
3 years ago
Round 67,436,828,104 to the nearest million
S_A_V [24]
It would be 67,437,000,000 since the eight in 67,436,(8)28,104 rounds the 6 up to a 7.
4 0
3 years ago
Read 2 more answers
The mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5
Softa [21]

Step-by-step explanation:

4

Add all to get 32

Divide by the number of items which is 8

answer =4

4 0
2 years ago
Read 2 more answers
Find the volume of each prism
o-na [289]
Volume of a prism=LWH
V=12 3/8 * 10*5
V=12.375 * 50
V=618.75
The volume of the prism is 618.75yd³
4 0
3 years ago
Other questions:
  • What is the area of the shaded region in the shape? PLEASE HELP!!
    9·1 answer
  • The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the en
    6·1 answer
  • Slope intercept form ​
    13·2 answers
  • Please if someone can help me
    15·1 answer
  • Simplify the expression: 6 + 3(x + 4)
    15·2 answers
  • What is the volume of the figure​
    5·2 answers
  • I REALLY NEED HELP LIKE ASAP
    5·2 answers
  • I need Help! ASAP: The current temperature in Lansdowne is 20°F. This is 6 degrees less than twice the temperature that it was f
    14·2 answers
  • Find E, the midpoint of RD, if R(4, –5) and D(2, 3).
    8·1 answer
  • Hi can someone please give me the answer to this question and please include the math so I can understand how you got it :)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!