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
Natalka [10]
3 years ago
6

Quadrilateral ABCD is a parallelogram. If m

Mathematics
2 answers:
professor190 [17]3 years ago
7 0
Yes it is a parallelogram
shtirl [24]3 years ago
5 0

Answer: Angle D would be the same as Angle B so the answer is 49 degrees.

Step-by-step explanation:

You might be interested in
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cook
Andreas93 [3]

Answer:

Answer

Find out the what is the constant of proportionality .

To prove

As given

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

3 0
3 years ago
Read 2 more answers
Y-4=7(x-6) need help
Alex17521 [72]

Answer:

y = 7x - 39

Step-by-step explanation:

y-4= 7(x-6)

y = 7(x-6) + 4

= 7x - 42 + 4

= 7x - 38

y = 7x - 39

4 0
3 years ago
Construct the 99% confidence interval estimate of the population proportion p if the sample size is n=900 and the number of succ
oee [108]

Answer:

An 99% confidence interval  of the given proportion

(0.355 , 0.385)

Step-by-step explanation:

Given sample size n= 900

the number of successes in the sample is x=333

The proportion P = \frac{x}{n} = \frac{333}{900} = 0.37

            Q = 1-P =1 - 0.37 = 0.63

<u>Confidence interval</u>:-

99% of confidence interval zα = 2.93

(P - z_{\alpha } \sqrt{\frac{PQ}{n} }  , P + z_{\alpha } \sqrt{\frac{PQ}{n} })

(0.37 - 2.93 \sqrt{\frac{0.37(0.63}{900} }  ,0.37 +2.93 \sqrt{\frac{0.37(0.63}{900} } })

(0.37 - 0.015 , 0.37 + 0.015)

(0.355 , 0.385)

<u>Conclusion</u>:-

<u>An 99% Confidence interval (0.355 , 0.385)</u>

7 0
3 years ago
What is the y-intercept of y=−3x−2
erastova [34]
-2.

It is in y=mx+b form.  And 'b' is the y-inter.   -2 is in the 'b' place, therefore, -2 is the y-inter 

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!
6 0
3 years ago
Math<br><br><br><br> pls help!!<br><br><br><br><br><br> answers?
statuscvo [17]

Answer: Choice B) Infinitely many solutions

  • one solution: x = 8, y = -7/2, z = 0
  • another solution: x = -12, y = 13/2, z = 10

=======================================================

Explanation:

Here's the starting original augmented matrix.

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\5 & 1 & 9 & 73/2\\-4 & 0 & -8 & -32\\\end{array}\right]

We'll multiply everything in row 3 (abbreviated R3) by the value -1/4 or -0.25, which will make that -4 in the first column turn into a 1.

We use this notation to indicate what's going on: (-1/4)*R3 \to R3

That notation says "multiply everything in R3 by -1/4, then replace the old R3 with the new corresponding values".

So we have this next step:

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\5 & 1 & 9 & 73/2\\1 & 0 & 2 & 8\\\end{array}\right]\begin{array}{l}  \ \\\ \\(-1/4)*R3 \to R3\\\end{array}

Notice that the new R3 is perfectly identical to R1.

So we can subtract rows R1 and R3, and replace R3 with the result of nothing but 0's

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\5 & 1 & 9 & 73/2\\0 & 0 & 0 & 0\\\end{array}\right]\begin{array}{l}  \ \\\ \\R3-R1 \to R3\\\end{array}

Whenever you get an entire row of 0's, it <u>always</u> means there are infinitely many solutions.

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

Now let's handle the second row. That 5 needs to turn into a 0. We can multiply R1 by 5, and subtract that from R2.

So we need to compute 5*R1-R2 and have that replace R2.

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\0 & 1 & -1 & -7/2\\0 & 0 & 0 & 0\\\end{array}\right]\begin{array}{l}  \ \\5*R1-R2 \to R2\ \\\ \\\end{array}

Notice that in the third column of R2, we have 9-5*2 = 9-10 = -1. So we have -1 replace the 9. In the fourth column of R2, we have 73/2 - 5*8 = -7/2. So the -7/2 replaces the 73/2.

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

At this point, the augmented matrix is in RREF form. RREF stands for Reduced Row Echelon Form. It seems a bit odd that the "F" of "RREF" stands for "form" even though we say "form" right after "RREF", but I digress.

Because the matrix is in RREF form, this means R1 and R2 lead to these equations:

R1 : 1x+0y+2z = 8\\ R2: 0z+1y-1z = -7/2

which simplify to

R1: x+2z = 8\\R2: y-z = -7/2

Let's get the z terms to each side like so:

x+2z = 8\\x = -2z+8\\\text{ and }\\y-z = -7/2\\y = z-7/2\\

Therefore, all of the solutions are of the form (x,y,z) = (-2z+8, z-7/2, z) where z is any real number.

If z is allowed to be any real number, then we can simply pick any number we want to replace it. We consider z to be the "free variable", in that it's free to be whatever it wants. The values of x and y will depend on what we pick for z.

So the concept of "infinitely many solutions" doesn't exactly mean we can pick just <em>any</em> triple for x,y,z (admittedly it would be nice to randomly pick any 3 numbers off the top of my head and be done right away). Instead, we can pick anything we want for z, and whatever we picked, will directly determine x and y. The x and y are locked into place so to speak.

Let's say we picked z = 0.

That would lead to...

x = -2z+8\\x = -2(0)+8\\x = 8\\\text{ and }\\y = z-7/2\\y = 0-7/2\\y = -7/2\\

So z = 0 would lead to x = 8 and y = -7/2

Rearranging the items in alphabetical order gets us:

x = 8, y = -7/2, z = 0

We have one solution of (x,y,z) = (8, -7/2, 0)

Now let's say we picked z = 10

x = -2z+8\\x = -2(10)+8\\x = -12\\\text{ and }\\y = z-7/2\\y = 10-7/2\\y = 13/2\\

So we have x = -12, y = -13/2, z = 10

Another solution is (x,y,z) = (-12, 13/2, 10)

There's nothing special about z = 0 or z = 10. You can pick any two real numbers you want for z. Just be sure to recalculate the x and y values of course.

To verify each solution, you'll need to plug them back into the original equations formed by the original augmented matrix. After simplifying, you should get the same thing on both sides.

8 0
2 years ago
Other questions:
  • Rewrite the following parametric equations in rectangular form.<br><br> x=e^3t<br> y=e^-t
    10·1 answer
  • What is the length of the side jk
    10·1 answer
  • What is the value of X? show all of your work
    6·1 answer
  • Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club. Which statements c
    5·1 answer
  • Which statement accurately describes the vector shown?
    9·2 answers
  • The Tres Difficult race helps raise money for charity. According to the website, of the proceeds from ticket sales go directly t
    12·2 answers
  • Multiply This?<br><br> 3/5 x 10
    13·1 answer
  • Question 5 (6 points)
    11·1 answer
  • The scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map
    8·1 answer
  • Définition d'être vivant​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!