the point of concurrency of the angle bisectors of a triangle

Answer:

[tex]x=\pm\sqrt{y+64}[/tex]

Step-by-step explanation:

All you need to do is isolate the x.

First, add 64 to both sides:

[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]

Then, take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]

Actually, that is:

[tex]x=\pm\sqrt{y+64}[/tex]

Here's the reason for that. An example would be:

[tex]x^2=4[/tex]

Here, you'd take the square root of both sides to solve for x.

[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]

Right? But X could also be a -2, because a negative times a negative is a positive.

[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]

Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]

[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]

Answer/Step-by-step explanation:

To Find the best price divided each

Kroger → 1.52/4=0.38

Publix → 175/5=35

Ingles → 1.02/3=0.34

Walmart → 2.46/6=0.41

Base on the data we can tell that Ingles have the best price.

Step-by-step explanation:

the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6

n-4 is the rule of the sequence.

Simply replace "n" with a number and solve your equation.

For example, if you are finding the 5th term, you do it like this:

= n - 4

= (5) - 4

= 1

Now, as you asked, the tenth term:

= n - 4

= (10) - 4

= 6

Answer:

length=10inches

width=18inches

Step-by-step explanation:

length=x

width=x+8

perimeter=2l+2b

56=2x+2(x+8)

56=2x+2x+16

56-16=4x

4x=40

x=40/4

x=10

Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600

Step-by-step explanation: First add the ratio together. 3+2=5.

Then divide 24,000 into five parts, 24,000/5 = 4,800.

After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.

And you can do the same for Mr. Kelly but use 2 instead of a 3.

4,800 x 2 = 9,600

To check your work you can add the two answers together

9,600 + 14,400 = 24,000.

Answer:

$60

Step-by-step explanation:

4/100= 0.04

$1500 x 0.04 = 60

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

2) HL (again, one of the multiple possible HL combinations)

There are many more but I won't write them all out.

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=slope or gradient (=-3)

y=-3x+b  

Add your points

(2, -1)

-1=(-3 x 2)+b

-1= -6+b

-1+6=b

b=5

y=-3x+5

Answer:

[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]

Step-by-step explanation:

We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.

We are given a point and the slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

In this formula, m is the slope and (x₁, y₁) is the point the line passes through.

The line has a slope of -3 and passes through (2, -1).

Substitute the values into the formula.

[tex]y--1= -3 (x-2)[/tex]

[tex]y+1= -3 (x-2)[/tex]

Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.

[tex]y+1 = (-3*x) + (-3*-2)[/tex]

[tex]y+1=(-3x) + (6)[/tex]

[tex]y+1=-3x+6[/tex]

Subtract 1 from both sides of the equation to isolate the variable y.

[tex]y+1-1=-3x+6-1[/tex]

[tex]y=-3x +5[/tex]

The equation of the line is y= -3x+5.

Answer:

2

Step-by-step explanation:

y=-3x+6

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at https://brainly.com/question/16807970

Answer:

-5;-7

Step-by-step explanation:

Start with the product. 35 is either 35x1, 7x5, or the product of their opposites. 35 and 1 doesn't work for the sum, neither does 7 and 5. Let's go negative. -35 and -1 gives -36, so it has to be -7 and -5, which is indeed, correct.

Answer:

48 miles/hour

Step-by-step explanation:

(336 miles)/(7 hours) = 48 miles/hour

Answer:

the average speed is 336 devided by 7 then you get the answer

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

Answer:

38.192

Step-by-step explanation:

34.72x(1+0.1)=38.192

The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

Thus, m∠P -= m∠Q

5x + 8 = 9x - 40

9x - 5x = 8 + 40

4x = 48

x = 12°

Thus, m∠Q = 9(12) - 40 = 68°.

Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".

For more information about triangles,

https://brainly.com/question/2773823

#SPJ2

Answer:

6,0 10,4

Step-by-step explanation:

find the y Axis and then the x Axis

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

Answer:

50% of Her Original goal

Step-by-step explanation:

Hello!

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19x+5+16x=180

First, add the x's together:

35x+5=180

Now, subtract 5 from both sides:

35x=180-5

35x=175

Divide both sides by 35 to isolate x:

x=5

Hope you find my answer helpful! Please give the crown if you do! (:

~SparklingFlower

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Answer:

4:5

Step-by-step explanation:

I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.

Tell me if I'm wrong :)

Answer:

more info so i can help

Step-by-step explanation:

please

One hundred and four point zero zero three two.

- BRAINLIEST answerer

Answer:

C.one hundred four and thirty two thousandth

Answer:

1.) 1 1/3

2.) 6/7

Step-by-step explanation:

1.) 16/12 = 4/3 = 1 1/3

2.) Add the numerators if the denominators are the same already

Answer:

1. 1 1/3

2. 6/7

3. 1 1/4

Step-by-step explanation:

For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.

5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:

5         1          6

----- + ------  = -------

 7       7           7

To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4

HOPE THIS HELPS :)

Answer:

Answer is graph A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:37.48

Step-by-step explanation:

I think the answer would be "X=1"

(Sorry if I'm wrong)