Given ABC with AB=3,BC=5,and CA=6 find the length of a mid segment XY

Given ABC With AB=3,BC=5,and CA=6 Find The Length Of A Mid Segment XY

Answers

Answer 1

Answer:

[tex] \overline{XY} = 1.5 [/tex]

Step-by-step explanation:

Given:

AB = 3

BC = 5

CA = 6

Required:

Length of XY

SOLUTION:

According to the Triangle Midsegment Conjecture, midsegment [tex] \overline{XY} [/tex] is half the length of [tex] \overline{AB} [/tex].

Therefore:

[tex] \overline{XY} = \frac{1}{2}(\overline{AB}) [/tex]

Thus:

[tex] \overline{XY} = \frac{1}{2}(3) [/tex]

[tex] \overline{XY} = \frac{3}{2} [/tex]

[tex] \overline{XY} = 1.5 [/tex]


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When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

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Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:

A)

The incenter is equidistant from all three vertices of the triangle.

B)

The incenter is equidistant from all three sides of the triangle.

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The incenter is closest to the shortest side of the triangle.

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The incenter is closest to the longest side of the triangle.

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Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
lawn in feet?

A.15 ft
B.56 ft
C.28 ft
D.11 ft

Answers

Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

What is square?

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

Area = [tex]a^2[/tex]

224.9 = [tex]a^2[/tex]

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

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Noah bought x apples, and Elena bought 1/4 more
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Step-by-step explanation:

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NATURE The frequency of a male cricket's chirp is related to the outdoor temperature. The
relationship is expressed by the graph, where y is the temperature in degrees Fahrenheit and x is the
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above is the graph needed to answer this question

Answers

y−60=1(x−20)  ,

y−40=x  ,

y−50=1(x−10)  ,

y−45=1(x−5)  ,

or

y−55=1(x−15)

Step-by-step explanation: I have no idea

The equation for the graph written in point - slope form may be expressed thus y-60 = 1(x - 20)

The general form of a point - slope expression is :

y - y1 = m(x - x1) m = slope

Taking the pair of points (20, 60) :

x1 = 20 ; y1 = 60

Slope = Rise / Run

Rise = (60 - 40) = 20Run = (20 - 0) = 20

Slope = 20/20 = 1

Hence, the equation can be expressed thus by substituting the x1 and y1 values into the expression :

y - 60 = 1(x - 20)

Therefore, the point - slope expression for the graph is y-60 = 1(x - 20).

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A car traveled a distance of 210 miles in 3 hours time. How fast was the car driving?

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If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

Answers

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

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Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

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Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

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Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

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Answer:

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Step-by-step explanation:

The correct answer is A. And don’t worry, I hope algebra gets better for you!

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Answers

22x = 23
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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.

Answers

Answer:

4mg/L

Step-by-step explanation:

Here is the complete question;

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

C(t) = 0.08t − 0.0004t2,  where  0 ≤ t ≤ 240 and the concentration is measured in mg/L.  When is the maximum serum concentration reached?

Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;

C(t) = 0.08t − 0.0004t^2

The maximum serum concentration is reached at when d(C(t))/dt = 0

d(C(t))/dt = 0.08-2(0.0004)t

d(C(t))/dt = 0.08-0.0008t

since d(C(t))/dt = 0

0 =  0.08-0.0008t

get the value of t

-0.08 = -0.0008t

t = 0.08/0.0008

t = 100secs

Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;

C(t) = 0.08t − 0.0004t^2

C(100) = 0.08(100) − 0.0004(100)^2

C(t) = 8-0.0004(10000)

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Hence the maximum serum concentration reached is 4mg/L

Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?

WILL RECIEVE ANYTHING YOU WOULD LIKE

Answers

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

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Step-by-step explanation:

(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?

A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.

Answers

Answer:

A.

Step-by-step explanation:

For square one, the dark part added up= 1/4 of the whole big square.

For square 2. the colored in part= 1/4 of the whole big square.

For square 3. The colored part = 1/4 of the whole big square.

Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.

For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.

THE ANSWER IS A THOUGH.

Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs $3.25. Eli has a total of $30 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, cc, and the number of pretzels purchased, p.p.

Answers

Answer: He spent $7.25 dollars.

Step-by-step explanation:

$3.50 + 3.25 = 7.25

Inequality shows a relationship between two numbers or two expressions.

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of candy = $3.50

Cost of a pretzel = $3.25

Total amount to spend = $30

Let the number of candies = c

Let the number of pretzels = p

The inequality to spend on possible numbers of candies and pretzels:

3.50c + 3.25p ≤ 30

Thus,

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

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Complete the work to solve for y:

What is the value for y?

Answers

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

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Answer:

th

e last oneStep-by-step explanation:

Answer:

I think its E because it's in between E and F and E and G

Step-by-step explanation:

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