Please Help!!!

In isosceles triangle ∆ABC with base
BC
draw the median
AM
. Find AM, if the perimeter of ∆ABC is 32 cm and perimeter of ∆ABM is 24 cm.

Answers

Answer 1
length of line segment AM = 8

I'm not going to show you a drawing of triangle ABC with the line AM, but will describe the solution.

Since the triangle is an isosceles triangle, you know that the sides AB and AC have the same length. And since point M is the median of line segment, you know that the length of BM is half the length of BC. With that in mind, let's write down some equations.

The perimeter of triangle ABC is 32, so
32 = AB + AC + BC

And since it's an isosceles triangle, we can simplify the equation to
32 = 2AB + BC

Now we know the perimeter of triangle ABM is 24, so
24 = AB + BM + AM

And since BM is half the length of BC, let's substitute that value, so
24 = AB + BC/2 + AM

Now looking at the two equations, you'll notice that "AB + BC/2" is exactly half of the value of the equation for the perimeter of ABC. So let's take that equation and divide it by 2, giving:
32 = 2AB + BC
16 = AB + BC/2

And subtract that equation from the equation for the perimeter of ABM
24 = AB + BC/2 + AM
minus
16 = AB + BC/2
equals
8 = AM

So the length of line segment AM is 8.

Answer 2
AM = 8 cm. Since ABC is an isosceles triangle the median will split the triangle in to two right triangles. By using the given information, and it is found that AM=8cm.

Related Questions

round 4,719,429 to the nearest 10,000

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Your answer should be 4,719,000
4,720,000. das the answer

Write the base of −(−6)^5.

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Giving directions, describing an object etc, if you're in school it depends on the subject but note taking.

simplify 1/5 b - 5 (2/5 a - 1/10 b) +4 a
simplify
A 2a - 3/10 b
B 2a + 7/10 b
C 2a - 7/10 b
D 2a +3/10 b

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the answer to this question is letter c

If Juan paid $21.30 for 7.1 pounds of salmon, what was the price of 1 pound of salmon?

Answers

First divide 21.30 by 7.1 and you'll get the unit price of 1 of 3.

So for 1 pound of salmon its $3.

Explain two ways to find the volume of a plastic cube.

Answers

Note that the length of EACH SIDE of a cube is the same.

1)   Volume = s³ ; or;  V = s³ .

in which;  V = volume (in "cubic units"); 
                  s = the side length of any one of the sides of the cube.
_______________________________________________________
2)  Volume = length * width * height ;  or, ( "V = L * w * h) .
_______________________________________________________

V=a^3 and volume=Length × Width × Height are the two ways to calculate the volume of cube.

What is three dimensional geometry?

Three-dimensional space is a geometric setting in which three values  are required to determine the position of an element.

A cube is a three-dimensional figure with 6 faces, 8 vertices and 12 edges.

In a cube all the sides are equal like a square.

So the volume of cube can be measured by

V=a^3

where a is the measure of a side.

And the volume of cube can also be found by

volume=Length × Width × Height

Hence V=a^3 and volume=Length × Width × Height are the two ways to calculate the volume of cube.

To learn more on three dimensional Geometry click:

https://brainly.com/question/2400003

#SPJ5

A symmetrical binomial distribution with large sample size can be approximated by a __________

Answers

typical distribution?

The graph of a piecewise-defined function is shown below.

On the interval (x≤0, x≤1, x<1, x<0) the function is given by the rule (x= - 1, y= - 1, y=1, x=1), and on the interval (x≥0, x>1, x≥1, x>0) the function is given by the rule (y= - 1, x= - 1, y= 1, x= 1).

Answers

Note that the from [tex]-\infty[/tex] to 0, that is the left part, the function is the line y=1.

Similarly, from 0 (not included) to [tex]\infty[/tex], the function is y=-1.


Thus the function is given by the rule:

y=1, for x≤0,
y=-1, for x>0.


Remark: a horizontal line at height c, from the x-axis, is the graph of the function y=c.

Answer:

one of these is wrong cause i got a three out of four but thats better than nothing i guess.

Step-by-step explanation:

x≤0, y=1, x≥1, this one is the one i think is wrong but y=-1

A pair of shoes costs $25 to make. This means that you need to charge a price of at least ___ just to cover your cost.

Answers

I believe the answer is $50.

Answer: $25

Step-by-step explanation: you are not trying to make a profit. You are just trying to cover your cost and they cost $25 to make.

How to Graph y=4/5x-7

Answers

Final answer:

To graph the equation y = 4/5x - 7, plot the y-intercept at -7 and use the slope to find a second point before drawing a line through the two points.

Explanation:

To graph the equation y = 4/5x - 7, follow these steps:

Start by plotting the y-intercept at -7 on the y-axis.Use the slope 4/5 to find a second point by moving up 4 units and to the right 5 units. Plot this point.Draw a straight line through these two points to represent the graph of y = 4/5x - 7.

If you subtract twelve from twice a number, the result is eight. what is the number?

Answers

2x - 12 = 8
2x = 8 + 12
2x = 20
x = 20/2
x = 10 <== ur number
Let's represent the number with Y
Twice the number will be 2Y
12 is subtracted from it. That will be;
2Y-12
And it is equal to 8
2Y-12=8
-12 will go over the equality sign to become +12
2Y=8+12
2Y=20
Divide both sides by 2
Y=20/2
Y=10
The number is 10
Have a nice day

the proportion of the perimeter of two similar polygons is blank the proportion of any pair of corresponding side lengths

A. greater than
B. equal to
C. less than
D. variable to

Answers

The ratio of perimeters is the same as the ratio of corresponding side lengths in similar polygons.

Which is a property of an angle?

has two sides that each extend forever in both directions
has two endpoints
has two center points
has two rays that share a common endpoint

Answers

its ¨has two rays that share a common endpoint¨

Answer:

has two rays that share a common endpoint

Step-by-step explanation:

An angle is formed by a two rays that share a common endpoint.  The distance between the two rays is what makes the measure of the angle wider or smaller.  Each ray extends in one direction forever; however since they share an endpoint, the rays do not extend in both directions forever.  There is only one endpoint, not two, and there is only one center point (vertex), not two.

Car insurance that pays for your injuries when you're in an accident in your car is _______ insurance. 

       A. collision   B. liability   C. comprehensive   D. medical

Answers

Answer is D. Medical Insurance
Liability insurance has bodily injury coverage and property damage coverage

Which of the following is the linear parent function

Answers

Answer: The answer is C.

A Linear parent function is a function of the form f(x) = x

or y = x. This is the simplest of the linear functions, where the slope is 1 and the function pases for the point (0,0) (which is the same of saying that the intercept is 0).

a) isnt a linear function.

b) is a quadratic function.

d) is also a linear function, but it has a slope = 2, so it isn't the linear parent function.

Perform the indicated operation. square root of 8 + square root of 50

Answers

Square root of 8 = 2.82842712475

Square root of 50 = 7.07106781187

Sum = 9.89949494

If you would like to round, you can go ahead and round 9.89949494 to 9.9

The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.
What is? (attached)

Answers

The dashed line segments form 30-degree angles in the given diagram of a regular hexagon and triangle.

In the given diagram, hexagon GIKMPR and triangle FJN are regular. The dashed line segments form 30-degree angles.

Since hexagon GIKMPR is regular, all its interior angles are equal. Each angle of a regular hexagon is 120 degrees, so angle GIK is 120 degrees.

The angle at GIK can be split into two equal angles by the dashed line segment, so each of these angles measures 60 degrees.

Similarly, since triangle FJN is regular, each of its angles measures 60 degrees.

Therefore, the dashed line segments form two 30-degree angles each side of the regular hexagon and triangle.

The correct answer is option d. The image of [tex]\overline{OQ}[/tex] after a rotation of 300 degrees about point O is [tex]\overline{OF}[/tex].

To find the image of line segment [tex]\( \overline{OQ} \)[/tex] after a rotation of [tex]\( 300^\circ \)[/tex] about point O, we need to understand that a rotation of [tex]\( 300^\circ \)[/tex] is equivalent to rotating [tex]\( 60^\circ \)[/tex] clockwise. This is because rotating [tex]\( 360^\circ \)[/tex] would bring us back to the original position, so a rotation of [tex]\( 300^\circ \)[/tex] is the same as rotating [tex]\( 360^\circ - 60^\circ = 300^\circ \)[/tex].

Given that line segment [tex]\( \overline{OQ} \)[/tex] forms a [tex]\( 30^\circ \)[/tex] angle with the dashed lines, after a rotation of [tex]\( 300^\circ \)[/tex], it will form a [tex]\( 30^\circ \)[/tex] angle with the new position of the dashed lines.

Therefore, the image of line segment [tex]\( \overline{OQ} \)[/tex] after the rotation is [tex]\( \overline{OF} \)[/tex].

The complete question

The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.

Find the image of [tex]\overline{OQ}[/tex] after a rotation of 300 degree about point O.

a. [tex]\overline{OJ}[/tex]

b. [tex]\overline{OH}[/tex]

c. [tex]\overline{OQ}[/tex]

d. [tex]\overline{OF}[/tex]

3y - 5z = -23
4x +2y +3z = 7
-2x - y - z = -3

In your answer, can you please show work so that I can understand it myself

Answers

Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.

The diameter of a small gear is 16 cm this is 2.5 more than 1/4 of the diameter of a larger gear ehat is the diameter of the larger gear

Answers

let's say the diameter of the larger gear is "x".

the small one has a diameter of 16cm, we know that, this is 2.5 more than (1/4)x.

[tex]\bf 16=\cfrac{1}{4}x+2.5\implies 16-2.5=\cfrac{x}{4}\implies 13.5=\cfrac{x}{4}\implies 4(13.5)=x \\\\\\ 54=x[/tex]

Look at the figure. If doing a two-column proof, what will be the very last statement?

Question 1 options:

X = 15


MN¯¯¯¯¯¯¯ = RS¯¯¯¯¯

Division Property of Equality


3x+3 = 5x-27

Save

Answers

When doing a two-column proof, the very last statement is usually the statement to be proved.

In the given question, we are required to prove that x = 15

Therefore, the very last statement of the two-column proof for the given figure is x = 15.

Give the name of a quadrilateral that is formed when you have two bisected diagonals.

Answers

The answer for that question is square


Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?

Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?

Show all work.

Answers

A)circumfrence of smaller gear is 6pi while circumference of larger gear is 14pi. thus 6pi of the 14pi would be turned so 0.4257 of the larger gear would be turned. 0.4257*360 would give us the angle, 154.3 degrees.
B)since the circumference of the larger gear is 14pi in one rotation the smaller gear would have rotated a length of 14pi. Thus 14pi/6pi=2.3 or 7/3 rotations.

How can the pythagorean theorem be used to classify acute, right, and obtuse triangles?

Answers

you're familiar with the Pythagorean Theorem. ... triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Which type of statement has the form " if A, then B"?

Answers

Proof by Contraposition.

Let me know if I was correct or horribly wrong.

Answer: Conditional statement

Step-by-step explanation:

In discrete mathematics, a conditional statement denoted by "if R then S " is an if-then statement where R represents a hypothesis and S represents a conclusion.

For example : If a number is divisible by 6 ,then it must be divisible by 2 ."

Here, Hypothesis R: " number is divisible by 6"

Conclusion S: "it must be divisible by 2"

Hence, an conditional statement  has the form " if A, then B" .

find the sum of the first 30 terms of the equation below: an=4n+1

Answers

Let n = 30

We are actually looking for a_30.

a_30 = 4(30) + 1

a_30 = 120 + 1

a_30 = 121

Answer:

1,890 is the sum of the first 30 terms of the equation .

Step-by-step explanation:

[tex]a_n=4n+1[/tex]

if , n = 1

[tex]a_1=4\times 1+1=5[/tex]

If, n = 2

[tex]a_2=4\times 2+1=9[/tex]

If, n = 3

[tex]a_3=4\times 3+1=13[/tex]

The arithmetic sequence comes out to be:

5, 9, 13........

a = 5

d = [tex]a_2=a_1=9-5=4[/tex]

The sum of first 30 terms is given by:

[tex]S_n=\frac{n}{2}\times (2a+(n-1)d)[/tex]

[tex]S_{30}=\frac{30}{2}\times (2\times 5+(30-1)\times 4)[/tex]

[tex]S_{30}=1,890[/tex]

1,890 is the sum of the first 30 terms of the equation .

Which expression is equal to (-12-2i)+(2+2i)

a) 10
b) -10
c) 10-4i
d)-10-4i

Answers

The answer would be B)-10. Hope this helps!:)

A ship is carrying 10,250 pounds of individually boxed TV sets. If each box weighs 20.5 pounds, how many boxes are on the ship?

Answers

There are 500 boxes on the ship

divide total weight by weight of each box

10250 / 20.5 = 500 boxes total

How many numbers are divisible by 100 between 1 and 6296?

Answers

62 numbers are divisible by 100 into a whole number

If the area of a square is 49 square inches, how long must each side be?

Answers

Area of a square=(side)²
or,49 = (side)²
or,side = √49 or 7

So, each side is 7 inch long
Hello There!

As you may know, all sides of a square are equal.
Area = side².
In this case:
49 = side²
side = √49
side = 7.
Each side is 7 square inches.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

what percent is the fraction 2/10 equal to

Answers

the fraction 2/10 is equal to 20%
2 / 10 = 0.2

0.2 as a percent is 20%

Your answer is 20%

Factor this polynomial expression. 2x2 + 12x + 18

Answers

2(x-2)(x-4) this should be the correct answer. Hope this helps :)

Answer: 2(x+3)(x+3)

i just took the test

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