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2 years ago

Use your knowledge of similar triangles to explain why the construction in the image divides the line segment into equal parts.

Mathematics

2 answers:

kupik [55]2 years ago

8 0

Answer:

This image is showig how to divide a given line segment into a number of equal parts by using a compass and ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.

Step-by-step explanation:

Hope that help.

strojnjashka [21]2 years ago

6 0

Answer:

This image show how to divide a given line segment into a number of equal parts by using a compass and ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.

Step-by-step explanation:

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In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?

Kitty [74]

So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100 so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48

Hazel was 48 and Gary was 23 in the year of 1995

5 0

2 years ago

What’s is the answer

Natasha_Volkova [10]

Answer:

In simplest form, it should be:

3:2

6 / 2 = 3

4 / 2 = 2

Hope this helps!

8 0

2 years ago

A right triangle has a leg that measures 15 ft and the hypotenuse measures 24 ft. What would the

Serhud [2]

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

$15^{2} +x^{2}=24^{2}$

Then you square the numbers that you currently have:

$225+x^{2}=576$

Then subtract 225 from both sides to isolate the x:

$x^{2} =576-225$

This gives you the equation:

$x^{2} =351$

Then take the square root of both sides which gives you:

$x=18.7349939952$

Then round to the nearest whole number which gives you x=19

3 0

1 year ago

Find the value of the variable in the polygon.

galben [10]

Answer:

103

Step-by-step explanation:

This shape is pentagon.

Note : -

Sum of interior angles of a pentagon is 540.

115 + 105 + 117 + 100 + x = 540

437 + x = 540

x = 540 - 437

x = 103

7 0

1 year ago

Eliminate the parameter t to find a cartesian equation for x=t^2 y=2+10t

postnew [5]

Hello :
$\left \{ {{x= t^{2} }...(1) \atop {y=2+ 10t }...(2)} \right.$
by(1) :
$t = \frac{y-2}{10}$
subsct in (2) :
$x = ( \frac{y-2}{10} )^{2}$ ....(<span>cartesian equation )</span>

3 0

2 years ago