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Genrish500 [490]
2 years ago
8

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics
2 answers:
jenyasd209 [6]2 years ago
8 0

Answer:

Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.

Step-by-step explanation:

Equilateral triangle property:

  • All sides of the equilateral triangle are equal.
  • Angle of every equilateral triangle are equal to 60°.
  • Every altitude of an equilateral triangle is also a median and a bisector.
  • Each median is also an altitude and a bisector.
  • Each bisector is also an altitude and a median.

Therefore, by equilateral triangle property;

Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.

Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.

MariettaO [177]2 years ago
4 0
That would be an Equilateral Triangle.

Hope this helped! :))
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Can someone help me with this. Will Mark brainliest. Need answer and explanations/work. Thank you.
hoa [83]

Answer:

cosine of angle a = 8/17

Step-by-step explanation:

Hello there!

Remember these are the trigonometric ratios

SOC CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

And we are asked to find the Cosine of angle A

Remember cosine is adjacent over hypotenuse

Hypotenuse - The longest side

Adjacent - the side that's not the hypotenuse nor the opposite

The adjacent side length of angle A is equal to 8 and the hypotenuse is equal to 17

so the cosine of angle a = 8/17

3 0
2 years ago
Suppose the weekly revenue for a company is given byr: 202400p wherep is the price of their product. What is the price of their
Rudiy27

Answer:

(a) The price for a revenue of $18,750 is $239.2.

(b) They sold 710 colonial houses and 2130 ranch houses

Step-by-step explanation:

(a) If the weekly revenue is defined as

r=2p^2+400p

then the price must be calculated as:

r=2p^2+400p=18750\\\\2p^2+400p-18750=0

The roots of this function are

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-400 \pm \sqrt{400^2-4*2*(-18750)}}{2*2}\\  \\x=\frac{-400 \pm 556.78}{4}\\ \\x_1=-39.2\\x_2=239.2

The first root is negative, so it is not a real solution. So the second root is the answer.

The price for a revenue of $18,750 is $239.2.

(b) Last year they sold three times as many ranch models (Hr) as they did colonial models (Hc):

H_r=3*H_c

The total amount of houses sold (colonial + ranch) is 2840

H_c+H_r=2840\\H_c+3*H_c=2840\\4*H_c=2840\\H_c=2840/4=710\\\\H_r = 3*H_c=3*710=2130

3 0
2 years ago
Which of the following is not a direct proportion?<br> A. y=3x<br> B. y=45x<br> C. y=72x<br> D. y=2
koban [17]

Answer:

Variation, in general, will concern two variables, say height and

weight of a person, and how when one of these changes, the other might

be expected to change.  We have direct variation if the two variables

change in the same sense, i.e. if one increases, so does the other.  

We have indirect variation if one going up causes the other to go

down.  An example of this might be speed and time to do a particular

journey, so the higher the speed the shorter the time.

Normally we let x be the independent variable and y the dependent

variable, so that a change in x produces a change in y.  For example,

if x is number of motor cars on the road and y the number of

accidents, then we expect an increase in x to cause an increase in y.  

(This obviously ceases to apply if number of cars is so large that

they are all stationary in a traffic jam.)

When x and y are directly proportional then doubling x will double the

value of y, and if we divide these variables we get a constant result.

Since if y/x = k  then (2y/2x) = k  where k is called the constant of

proportionality

We could also write this  y = kx

Thus if I am given the value of x, I multiply this number by k to find

the value of y.

Example: Given that y and x are directly proportional and y = 2 when

x = 5, find the value of y when x = 15.

We first find value of k, using y/x = k

                               2/5 = k

Now use this constant value in the equation y = kx for situation when

x = 15

     y = (2/5)*15

       = 30/5 = 6

If you want to do this quickly in your head, you could say, x has been

multiplied by a factor 3 (going from 5 to 15), so y must also go up by

a factor of 3.  That means y goes from 2 to 6.

Indirect Variation.

We gave an example of inverse proportion above, namely speed and time

for a particular journey.  In this case if you double the speed you

halve the time. So the product speed x time = constant

In general, if x and y are inversely proportional then the product xy

will be constant.

              xy = k

  or          y = k/x

Example:  If it takes 4 hours at an average speed of 90 km/hr to do a

certain journey, how long would it take at 120 km/hr

   k = speed*time = 90*4 = 360 (k in this case is the distance)

Then time = k/speed

         = 360/120

         = 3 hours.

To do this in your head, you could say that speed has changed by a

factor 4/3, so time must change by a factor 3/4.  However, for the

usual type of problem, go through the steps I outlined above.

Step-by-step explanation:

I hope these examples have made the idea of variation (both direct and

inverse) reasonably clear.

5 0
2 years ago
12 less than 7 times a number is the same as 32 less than the product of -3 and a number
kaheart [24]

7n -12 = -32 + -3n

I think this is the equation

6 0
3 years ago
4. How many toothpicks would you need to make any sized square? Is there a pattern or rule? Explain.​
ivanzaharov [21]

Answer:

4 toothpicks, for the pattern part, you always need 3 more toothpicks to make another square

Step-by-step explanation:

To make 1 square use 4 toothpicks; to make 2 squares use 7 toothpicks; to make 3 squares use 10 toothpicks. For each new square you needs a further 3 toothpicks.

8 0
2 years ago
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