In your own words make a conjecture about the relation
between the side and interior angles of
an isosceles triangle:
​

Answer:

y = 2/3x - 4

Step-by-step explanation:

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

Answer:

2x radius I believe

Tell me if im wrong and I will remove this

Answer:

We know that P(x) = 30*x^3 + k*x^2 + 1

a) If (3x - 1) is a factor, let's find the value of k.

Because the degree of the original polynomial is 3, and the degree of the factor is 1, we should multiply it by a polynomial of degree 2.

Then:

30*x^3 + k*x^2 + 1 = (3*x - 1)*(a*x^2 + b*x + c)

30*x^3 + k*x^2 + 1  = 3*a*x^3 + 3*b*x^2 + 3*c*x - a*x^2 - b*x - c

30*x^3 + k*x^2 + 1 = 3*a*x^3 + (3*b - a)*x^2 + (3*c - b)*x - c

The terms with the same exponent should be equal, then:

30*x^3 = 3*a*x^3

30 = 3*a

30/3 = a = 10

k*x^2 = (3*b - a)*x^2

k = (3*b - 10)  

0*x = (3*c - b)*x

0 = (3*c - b)

b = 3*c

and

1 = -c

then:

c = -1

Replacing this in the equation: b = 3*c

we get: b = -3

Replacing this in the equation for k, we get:

k = (3*b - 10) = (3*-3 - 10) = -19

k = -19

And we can write:

P(x) = (3*x - 1)*(10*x^2 - 3*x - 1)

b) Now we want to write P(x) as a product of its linear factors.

Then we need to factorize the quadratic part:

We need to solve

10*x^2 - 3*x - 1 = 0

We can use the Bhaskara's equation to get the solutions:

[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*10*(-1)} }{2*10} = \frac{3 \pm 7}{10}[/tex]

Then the two zeros of that polynomial are

x = (3 + 7)/10 = 1

x = (3 - 7)/10 = - 4/10 = -2/5

So we can write the polynomial as:

10*(x - 1)*(x - (-2/5))

Replacing this in the equation of P(x) we get:

P(x) = (3*x - 1)*10*(x -1)*(x + 2/5)

     = 10* (3*x - 1)*(x -1)*(x + 2/5)

So P(x) is written as a product of lineal factors.

C) The zeros of the polynomial are the values of x such that one of the factors becomes equal to zero.

For the first factor, we have a zero at x = 1/3

for the second, we have a zero at x = 1

for the third one, we have a zero at  x = -2/5

Answer:

x = 3

Step-by-step explanation:

The angle measuring 5x and the angle measuring 165° are a linear pair, so they are supplementary. Their measures add to 180°.

5x + 165 = 180

5x = 15

x = 3

Answer:

numbers are 7 and 6

Step-by-step explanation:

7+6=13

7x6=42

Answer:

-31

Step-by-step explanation:

-15-9+(-7)

-15-9-7

-24-7

-31

Answer:

Is D

Step-by-step explanation:

Hope it helps you its -1

Answer:

B

Step-by-step explanation:

Angles in a triangle add up to 180

Take 45 + 90 then subtract the answer from 180

Answer:

A

Step-by-step explanation:

You just find out which number is closer to the speed of light

Answer:

9x10^15

Step-by-step explanation:

9,460,528,400,000,000

If you count the numbers up until 9 you get 15. So the easy hack is to just count the numbers up until the VERY first then whichever answer had that number is the right one.

Answer:

C

Step-by-step explanation:

Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:

[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]

At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:

[tex]H_0: p = 0.65[/tex]

At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:

[tex]H_\alpha: p \neq 0.65[/tex]

More can be learned about an hypotheses test at https://brainly.com/question/26454209

Answer:

H

Step-by-step explanation:

Answer:

m = -5/4

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

(-7 - 8)/ (5 - -7)

-15/12

-5/4

We can find percent by dividing savings by total earned. 28/350=8%

8%

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

Answer:

certain

Step-by-step explanation:

Jai rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a number between 1 and 6 (including 1 and 6)?

There are 6 possible outcomes for rolling a die numbered from 1 to 6: {1, 2, 3, 4, 5, 6}.

Within that set of outcomes, there are 6 possible ways of rolling a number between 1 and 6 (including 1 and 6): {1, 2, 3, 4, 5, 6}.

6 out of 6 is 1. When something will occur all the time, we say it is certain.

Answer:

2x+5

Step-by-step explanation:

Formula for the perimeter of a reactangle= 2(l+b)

So,

2(l+b) = 10x+18

2(3x+4 + b) = 10x+18

Rearrange and solve

3x+4+b = 5x+9

b = 5x+9 - 3x - 4

b = 2x+5

Thus the measurement of the width = 2x+5

Hope this helps

Answer:

If we are talking about a triangle with two sides being of equal length: 11, then you can use Pythagorean Theorem to solve.  

Step-by-step explanation:

Imagine the sides labeled as a, b, and c. a and b are both 11. We have to find the value of c. we can do this by writing a^2+b^2=c^2. so 11^2+11^2=c^2. All that is left to do is find the square root of c^2 and you are left with your answer.

Answer:

An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.

Step-by-step explanation:

hope this helped and can u plz mark me brainlest

Answer:

0

Step-by-step explanation:

Using PEMDAS you complete the operation. Hope it helps :)

Answer:

37+23

Step-by-step explanation:

I searched it up. someone else asked the exact same question. I hope it's correct though.

Answer:

The larger number is 37 and the smaller number is 14.

Step-by-step explanation:

Let's solve this problem in terms of x and y:

x+y=60

x-y=14

x will be the larger number while y will be the smaller number.

When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y  must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.

I hope this helps :)

Answer:

a=60° b=55°

Step-by-step explanation:

using the exterior angle property it's suopposed to add up to 180° so we make a the subject of the formula subtracting 180-120 .... again the same for b

Answer:

x=-1

Step-by-step explanation:

5x=-5

[tex]x=\frac{-5}{5}=-1[/tex]

Answer:

3^m x 3^n = 3^-3

All values for m and n, when m+n= -3.

m=1,n=-4;m=-1,n=-2......

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2

x^2+25=169

x^2=144

x=12

sin(x)=12/13

Answer:

x = 42,33°

Step-by-step explanation:

3x + 1° + 52° = 180° [angles on a straight line]

3x + 53° = 180°

3x = 180° - 53°

3x = 127°

divide both sides by 3

x = 42,33°

(1, -2)

The vertex is simply the turning point.

Answer:

240 bananas

Step-by-step explanation:

You would need 8 sets of figs. 10 coconuts is equal to 25  figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240

Answer:

To buy the boat you would need 240 bananas.

Explanation:

3 bananas = 1 coconut

1 coconut = 2.5 figs

200 figs (price of boat) = 80 coconuts

80 coconuts (price of boat) = 240 bananas