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3 years ago

A) Work out the size of angle x.

Mathematics

1 answer:

vazorg [7]3 years ago

7 0

Answer:

x = 80

Step-by-step explanation:

∠ ABC and ∠ DBC are adjacent angles and supplementary, thus

∠ ABC = 180° - ∠ DBC = 180° - 100° = 80°

∠ EFB = x = ∠ ABC = 80° ( corresponding angles )

Thus x = 80

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Five whole numbers are written in order

xenn [34]

Answer:

The values of x and y is given by the equation $4x-y=20+y$ .

Step-by-step explanation:

Given : Five whole numbers are written in order 4 6 x y 10 , the mean and median of the five numbers are the same.

To find : The values of x and y ?

Solution :

Observations 4, 6, x, y, 10.

Mean is summation of observation divided by number of observation.

i.e. $m=\frac{\sum x_n}{n}$

$m=\frac{4+6+x+y+10}{5}$

$m=\frac{20+x+y}{5}$

Median is middle term of observations.

Median of odd terms $M=\frac{n+1}{2}^{th}$ term

$M=\frac{5+1}{2}^{th}$

$M=3^{rd}$ term

$M=x$

The mean and median of the five numbers are the same.

i.e. $\frac{20+x+y}{5}=x$

$20+x+y=5x$

$4x-y=20+y$

The values of x and y is given by the equation $4x-y=20+y$ .

5 0

3 years ago

Read 2 more answers

Solve this equation:<br><br> |x-2|=6x+18

sineoko [7]

X-2=6x+18
-x -x
-2=5x+18
-18 -18
-20=5x
x=-4

5 0

3 years ago

Who is the president of the United States

erica [24]

Answer:

Currently, the president is still Donald Trump but I think in January Joe Biden will be the president.

Step-by-step explanation:

8 0

3 years ago

Perimeter and area of the combined figure

Oduvanchick [21]

Area : 1050
Perimeter : 150

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3 years ago

7. Certain car manufacturers install a gauge that tells the driver how many miles they can drive

nalin [4]

Answer:

A) Slope - 1.1889. The Predicted distance the drivers were able to drive increases by 1.1889

Step-by-step explanation:

5 0

3 years ago