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Zina [86]
3 years ago
11

Parallelogram ABCD is shown. CD=DE Work out the size of angle x.

Mathematics
2 answers:
Andru [333]3 years ago
7 0

Step-by-step explanation:

Angles in a parallelogram are supplementary

Scrat [10]3 years ago
4 0

Answer: x=19

Step-by-step explanation:

As CD=DE

ECD is also 38

Because it is an isosceles triangle which has 2 equal sides and angles.

As interior angles add up to 180

38+38-180=104

So CDE=104

Angle on a straight line add up to 180

180-38

AEC= 142

As oppossite angles in a parallelogram are equal

CDE=CBA

CBA=104

Finding x

Say BCA=x

Lets see CBAC

104+3x+x=180

104+4x=180

4x=76

x=19

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Jeffery runs at an average speed of 8 mph, and he bikes at an average speed of 14 mph. Yesterday, Jeffery ran for x hours. How f
Mrac [35]

Answer:

8x miles

Step-by-step explanation:

  • runs with speed 8 mph
  • bikes at an average speed of 14 mph

distance = speed * time

Here the speed for run is 8 mph and time is x hours

So distance covered: 8 * x = 8x miles.

4 0
2 years ago
What is the sum of sqrt -2 and sqrt -18
Assoli18 [71]

Answer:

4i sqrt(2)

Step-by-step explanation:

sqrt(-2) + sqrt(-18)

We know sqrt(ab)= sqrt(a) sqrt(b)

sqrt(-1)sqrt(2) + sqrt(9) sqrt(-2)

sqrt(-1)sqrt(2) + sqrt(9) sqrt(2)sqrt(1)

We know the sqrt(-1) is equal to i

i sqrt(2) +3 sqrt(2) i

i sqrt(2) +3i sqrt(2)

4i sqrt(2)

3 0
3 years ago
Can anyone help for brainst and a thanks?
bekas [8.4K]

Answer:

$150.

Step-by-step explanation:

You would add to get the answer.

57 + 90 = 150.

Feel free to let me know if you need more help. :)

8 0
2 years ago
Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A large
irina1246 [14]

Answer:

The correct options are;

B) The mean and median for the security company are both lower than the mean and the median for the collections performed by other companies

B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees

Step-by-step explanation:

We use the acronym SC for the security company and OC for the other company

SC OC

1.6 1.5

1.8 2.1

1.6 1.9

1.8 2.2

1.7 1.9

1.2 1.7

1.1 2.1

1.2 2.2

1.2 2.2

1.5 1.8

∑x    14.7   19.6

The mean is given by  ∑x/n

n = 10

               SC        OC

∴ Mean 1.47      1.96

The median is the \frac{n + 1}{n} th  \ term

Hence

               SC         OC

Median 1.55         2

Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.

b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.

8 0
3 years ago
Which explains whether or not the function represents a direct variation?
s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

A(0,0) ------> the line passes through the origin

B(2,10)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=10/2=5

C(4,20)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=20/4=5

D(6,30)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=30/6=5

E(8,40)

Find the value of k------> substitute the value of x and y

y/x=k-----> k=40/8=5

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

f(x)=5x

4 0
3 years ago
Read 2 more answers
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