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3 years ago

Can u help me in this problem. i don't know how to do it

Mathematics

1 answer:

Readme [11.4K]3 years ago

5 0

Answer:

x=11

Step-by-step explanation:

The angles directly opposite 80 and 60 are also 80 and 60 respectively, because they are vertical angles
Now the triangle we see there, on the bottom left corner the angle is 80 degrees and the bottom right the angle is 60 degrees
Theorem states that the sum of angles in a triangle is 180 degrees
So 80 degrees plus 60 degrees plus the angle (x+51) is equal to 180
$80+60+(x+51)=180\\x+80+60+51=180\\x+191=180\\x+191-(191)=180-(191)\\x=11$

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Consider a large population with a mean of 150 and standard deviation of 27. a random sample of size 25 is taken from the popula

Karolina [17]

Answer:

Standard error = 5.4

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 150 and Population Standard deviation, $\sigma$ = 27 and sample size, n = 25

Standard error formula for the sampling distribution of this sample mean is given by;

<em> Standard error</em> = $\frac{\sigma}{\sqrt{n} }$ = $\frac{27}{\sqrt{25} }$ = 5.4

5 0

3 years ago

Naomi used 2/3 gallon of gas to drive 15^1/5 miles.At this rate how many miles can naomi car travel per gallon

Rama09 [41]

Answer:

22 4/5 miles

Step-by-step explanation:

miles per gallon = total miles / total gallons used

$15\frac{1}{5}$ ÷ $\frac{2}{3}$

convert the mixed fraction to an improper fraction

$\frac{76}{5}$ × $\frac{3}{2}$ = $\frac{114}{5}$ = 22 4/5 miles

5 0

3 years ago

Which letters have line symmetry?

Lapatulllka [165]

A and H both have line symmetry

7 0

3 years ago

Read 2 more answers

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

velikii [3]

We can use the point-slope equation:
$y = mx + b$
m, the slope, is 3/4:
$y = \frac{3}{4} x + b$
To find b, we plug in the point (4,1/3):
$( \frac{1}{3} ) = \frac{3}{4} (4) + b \\ \frac{1}{3} = 3 + b \\ \frac{1}{3} = \frac{9}{3} + b$
$- \frac{8}{3} = b$

Therefore, the point-slope equation is
$y = \frac{3}{4} x - \frac{8}{3}$

Now we have to see which answer matches.

$y - \frac{3}{4} = \frac{1}{3} (x - 4) \\ y - \frac{3}{4} = \frac{1}{3} x - \frac{4}{3} \\ y - \frac{9}{12} = \frac{1}{3} x - \frac{16}{12}$
$y = \frac{1}{3} x - \frac{7}{12}$
Since this is not the same, we try the next one.

$y - \frac{1}{3} = \frac{3}{4} (x - 4) \\ y - \frac{1}{3} = \frac{3}{4} x - 3 \\ y - \frac{1}{3} = \frac{3}{4} x - \frac{9}{3}$
$y = \frac{3}{4} x - \frac{8}{3}$

This is the same, so this is the answer. We should still double-check the other answers.

$y - \frac{1}{3} = 4(x - \frac{3}{4} ) \\ y - \frac{1}{3} = 4x - 3 \\ y - \frac{1}{3} = 4x - \frac{9}{3}$
$y = 4x - \frac{8}{3}$
This one is not equivalent.

$y - 4 = \frac{3}{4} (x - \frac{1}{3} ) \\ y - 4 = \frac{3}{4} x - \frac{1}{4} \\ y - \frac{16}{4} = \frac{3}{4} x - \frac{1}{4}$
$y = \frac{3}{4} x + \frac{15}{4}$
This one also does not work.

The answer is the second one:
$y - \frac{1}{3} = \frac{3}{4} (x - 4)$

3 0

3 years ago

Read 2 more answers

Please help and show work!!! 20+ points!!!!

gregori [183]

Answer:

Red rose is 4/14

Pink rose is 5 and it is 13 because you are not replacing it, so 5/13

Then you will have to multiply...

4/14•5/13=10/91

Have a great day! Good luck!

8 0

2 years ago

Read 2 more answers

Can u help me in this problem. i don't know how to do it​

Can u help me in this problem. i don't know how to do it