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
zalisa [80]
1 year ago
9

Find the value of x and y that make the quadrilateral

Mathematics
1 answer:
vitfil [10]1 year ago
4 0

The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

4x+6=7x-3

We can solve that equation for x

\begin{gathered} 4x+6=7x-3 \\  \\ 3x=9 \\  \\ x=\frac{9}{3}=3 \end{gathered}

Hence, x = 3. Now let's solve the other equation

\begin{gathered} 4y-3=3y+1 \\  \\ y=4 \end{gathered}

Then the value of y is 4.

Final answers:

x = 3

y = 4

You might be interested in
A company that produces fine crystal knows from experience that 13% of its goblets have cosmetic flaws and must be classified as
Kisachek [45]

Answer:

(a) The probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b) The probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c) The probability that at most five must be selected to find four that are not seconds is 0.9453.

Step-by-step explanation:

Let <em>X</em> = number of seconds in the batch.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.31.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

(a)

Compute the probability that only one goblet is a second among six randomly selected goblets as follows:

P(X=1)={6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=6\times 0.13\times 0.4984\\=0.3888

Thus, the probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b)

Compute the probability that at least two goblet is a second among six randomly selected goblets as follows:

P (X ≥ 2) = 1 - P (X < 2)

              =1-{6\choose 0}0.13^{0}(1-0.13)^{6-0}-{6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=1-0.4336+0.3888\\=0.1776

Thus, the probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c)

If goblets are examined one by one then to find four that are not seconds we need to select either 4 goblets that are not seconds or 5 goblets including only 1 second.

P (4 not seconds) = P (X = 0; n = 4) + P (X = 1; n = 5)

                            ={4\choose 0}0.13^{0}(1-0.13)^{4-0}+{5\choose 1}0.13^{1}(1-0.13)^{5-1}\\=0.5729+0.3724\\=0.9453

Thus, the probability that at most five must be selected to find four that are not seconds is 0.9453.

8 0
3 years ago
Hey ill give brainlist
TEA [102]

Answer:

2.\:\frac{41}{9}

Step-by-step explanation:

Recall that \frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}.

Therefore, 4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}.

5 0
3 years ago
Read 2 more answers
Let x = hours spent babysitting on Saturday. Choose the equation that
Ne4ueva [31]

The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56

<h3>How to write and solve equation</h3>

  • Amount paid per hour for babysitting =$4
  • Total amount made = $56
  • Hours spent babysitting on Sunday = 8 hours

Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour

= 8 × 4

= $32

Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4

= 56 - 32 ÷ 4

= 24 ÷ 4

= 6 hours

  • check all that applies

A. 8x+4 = 56

8x = 56 - 4

8x = 52

x = 52/8

x = 6.5

B. 4x+8 = 56

4x = 56 - 8

4x = 48

x = 48/4

x = 12

C. 8(x + 4) = 56

8x + 32 = 56

8x = 56 - 32

8x = 24

x = 24/8

x = 3

D. 4(x + 8) = 56

4x + 32 = 56

4x = 56 - 32

4x = 24

x = 24/4

x = 6

Learn more about equation:

brainly.com/question/16863577

6 0
2 years ago
A group of friends were working on a student film that had a budget of $1140. They used 65% of their budget on costumes. How muc
Stells [14]

Answer:

They use 741 dollars

Step-by-step explanation:

Write 65% as

65/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65/100 of 1140 = 65/100× 1140

Therefore, the answer is 741

If you are using a calculator, simply enter 65÷100×1140 which will give you 741 as the answer.

4 0
3 years ago
8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X
spin [16.1K]

Answer:

2400kJ

Step-by-step explanation:

Step one:

given data

power P= 400W

time = 10minutes

to seconds= 60*10 = 600 seconds

Required

the energy

Step two:

we know that Energy= power * time

E=P*t

E=400*600

E=240000

E=2400kJ

She converts 2400kJ into other forms

5 0
2 years ago
Other questions:
  • Margaret is making strawberry milkshakes for the kids party. The recipe calls for of a cup of strawberry syrup to make 8 milksha
    9·2 answers
  • What is the missing angel in the triangle 69,34,
    14·2 answers
  • Plz help me with my homework!!!!
    5·1 answer
  • Factor completely 2x2 - 18.<br><br> Prime<br> 2(x2 - 9)<br> 2(x + 3)(x - 3)<br> 2(x + 3)(x + 3)
    11·2 answers
  • Solve -6(x + 3) + 1 = -5x + 7
    13·1 answer
  • What are the roots of -4 and 3
    5·1 answer
  • Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run
    10·1 answer
  • F(x)= 1/3 (4-x)^2 what is the value of f(16)
    14·1 answer
  • If 3 x 742 = 2,226, then
    13·1 answer
  • The fish tank has 60 fish. 12 the fish have spots. What percent of the fish have spots?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!