Mathematics High School

Can someone help me with this? Please this would mean so much.

Answers

Answer 1

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

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

Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

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

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

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

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

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

As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

Related Questions

Rose is drawing a portrait for her art class. She is using a sheet of paper what is 6 inches wide and 12 inches long. What is the area of the art paper in square feet?

Answers

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

72 in^2 1 ft^2

--------------- * --------------- = 0.5 ft^2

1 144 in^2

help I don’t know the answer

Answers

Report this clown who put the first answer he’s trying to get your ip

Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.

D battery with radius 0.65 in.

circumference: ___ in.

Answers

Answer:

4.09

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

The circumference of the circular base of the object is 4.082 in

What is circumference?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.

Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in

The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.

Here, if we calculate the circumference of the object, we will get,

The circumference of any circular object given by :-

C = 2π×radius

C = 2×3.14×0.65 = 4.082 in

Hence, the circumference of the circular base of the object is 4.082 in

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PLS HELP ME I NEED THIS DONE IN A FEW MINUTES

Answers

Answer:

(2,2)

Step-by-step explanation:

Midpoint formula, and plug in the numbers.

Hope this helps.

(x1+x2)/2,(y1+y2)/2

(1+3)/2,(3+1)/2

4/2,4/2

(2,2)

can someone help it would be very helpful

Answers

Answer:

Use formula

area of trapezium=(a+b)/2×h

Step-by-step explanation:

area of trapezium=(a+b)2×j

(8×4)/2×696in²

as this u can calculate all of yr areas.

stay safe healthy and happy.

Find the perimeter and Area of the rectangle

Answers

the answer is x^2+5(0) because the theorem matches the equation equally

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

find the volume of the prism

Answers

Answer:

volume = 108

Step-by-step explanation:

simple: volume = base x height

9 x 12 = 108

Answer 1452

Step-by-step explanation:

im not sure if im correct but the formua is V = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11

tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.

A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Answers

Answer:

A, D, E

Step-by-step explanation:

GOT IT RIGHT ON EDGE

The true statement about the histogram are

(a) the median and the mean are approximately equal(d) the histogram would have an approximately normal curve(e) there are more data elements between 6 and 9.

How to interpret the histogram?

The dataset is given as:

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5

Using a statistical calculator, we have the following summary:

Mean = 7.43

Median = 7.5

Notice that the median and the mean are approximately equal

i.e. 7.43 ≈ 7.5

When the mean and the median are equal, the histogram would have an approximately normal curve

Also, when the dataset is sorted, we have:

5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10

Notice that there are more data elements between 6 and 9.

Hence, the true statement about the histogram are (a), (d) and (e)

Answers

Answer:

C budddyyyyyy

Gieco saves you 15% on car insurance

lol sorry i just had to

HeLP PLEASE OH LORD ITS TIMED 20 POINTS AM I RIGHT??? IF NOT WHATS THE ANSWER

Answers

Answer:

you are correct :D

Step-by-step explanation:

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours

Answers

Answer:

Step-by-step explanation:

This is calculated as:

1/ number of hours for Renee + 1/ number of hours for Geneva = 1/ Total number of hours that they can do it together

= 1/16 + 1/12 = 1/T

Lowest common denominator = 192

= 12 + 16/192 = 1/T

= 28/192 = 1/T

Cross Multiply

28T = 192 × 1

T = 192/28

T = 6 24/192 hours

Answer:

its b

Step-by-step explanation:

i just took the test :)

Please help me! DO NOT SEND LINK!

Answers

The area of the rectangle is 40 cm.
To find this, just multiply 8 and 5.
Area: length times width
Area: 8 times 5
Area: 40 cm

The perimeter of the rectangle is 26 cm.
Perimeter: 2L + 2W
Perimeter: 2(8) + 2(5)
Perimeter: 16 + 10
Perimeter: 26
Hope this helps!

Answer:

Area is 40

perimeter is 26

Step-by-step explanation:

area = l×w

[tex]8 \times 5 = 40[/tex]

Perimeter = 2L +2W

[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:

Step-by-step explanation:

Because it is an equation

greatest to least 7. 2.96, 3, 3.48, 31

Answers

Answer:

Step-by-step explanation:

2.96, 3, 3.48, 7, 31

Answer:

31, 7, 3.48, 3, 2.96

Step-by-step explanation:

Look at the ones value first. 31 is the highest. Then 7. Between 3 and 3.48, think of 3 as 3.00 so therefore 3.48 is higher than 3.00

which statement describes the effect on the parabola y= x^2 -1 when its is changed to y =x^2 +6?

Answers

The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.

What is the effect on the parabola?

First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:

g(x) =f(x) + N

Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.

In this case, we start with the parabola:

y = f(x) = x^2 - 1

Now we know that the transformed function is:

y = g(x) = x^2 + 6

Now, notice that if we apply a translation upwards of 7 units of the original function we will get:

y = f(x) = x^2 - 1 + 7 = x^2 + 6

We got the transformed function.

Then the effect on the parabola is a translation of 7 units upwards.

Learn more about translations by reading:

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Can someone answer this

Answers

jim grant. can you answer my question too?

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = 81 ← value of y from table for x = 4

f(a) = f(3) = 27 ← value of y from table for x = 3

average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54

Solve this inequality. 7d-1<6d

Answers

Answer: d < 1

I used A app and it said that

Four lines are shown in the graph below.

Which line has the slope with the greatest value?

A
line A

B
line B

C
line C

D
line D

Answers

Answer:

Step-by-step explanation:

A vertical line will have the steepest slope

8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?

Answers

Answer: $9.23

because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.

HELP

find the value of x in a circle 8,x, 20,36

Answers

Answer:

8.8 i think

Step-by-step explanation:

Ewok's favorite candy is a gummy
worm. One gummy worm is 13
inches long: How many gummy
worms will it take to lay them end to
end to have a total length of 45
inches

Answers

Answer:

3.5

Step-by-step explanation:

45 inches divided by 13 inches

gets you 3.4615 but i think you should round up so 3 and a half

Well, if you round the the answer is about 3.5 gummy worms.

This is because 45 divided by 13 equals 3.46153846. That is a VERY long number so you obviously round to the nearest tenth which gives you 3.5. So in the end you would need about 3 and a 1/2 gummy worms to lay them end to end and have a total length of 45 inches. I hope this helps!! (Also that is one really big gummy worm. 13 INCHES?? Hahaha)

ANSWER ASAP, FIND LENGTH OF MISSING SIDE USING PYTHAGOREOON THEOREM

Answers

Answer:

51?

Step-by-step explanation:

I am sorry if it's wrong

There are 5,400 bricks on a pallet. There are 9 crates of bricks on each pallet. How many bricks are in each crate? Enter your answer in the box.

Answers

5400 divided by 9 would be 600

Answer:

600

Step-by-step explanation:

5400/9=600

Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)

Find the area of this triangle

Answers

Answer:

6km² sounds like a reasonable answer

mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets

Answers

Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

Answers

Answer:

Hello! answer: 2

Step-by-step explanation:

The mode is just the number shown the most in the set of numbers so 2 is the mode because 2 is shown the most Hope that helps!

The mode is 2

You can use calculatorsoup.com if you have anyone more questions like this

What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.

Answers

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation:

Question 5 Multiple Choice Worth 1 points)
(06.03)
What is the axis of symmetry for f(x) = -5x2 – 20x - 10?
Ox = 6
Ox= -6
Ox=2
Ox= -2

Answers

Answer:

Step-by-step explanation:

i need answer please answer

Answers

Step-by-step explanation:

x+30°=180°{ straight angle}

x=180-30

x=150°

stay safe healthy and happy.

Answer:

150°

Step-by-step explanation:

BC is 180°

AOC is 30°

180°- 30° = 150°

3x/2-x=x/6-2/3 plz help

Answers

Answer:

= − 2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

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