how can you justify inequalities in one triangle

Answers

Answer 1

Answer:

The greater angle and greater side theorem states that within a triangle, longer sides lie opposite larger angles, and the triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side.

Related Questions

What is the y-value when x equals-12? y=-200 - 6(x)

Answers

Step-by-step explanation:

y= -200 - 72

y= -272

because -a - b = -x

this is a formula

A straight line passes through the points P ( 1 , 2 ) and Q ( 5 , -14 )

(a) What are the coordinates of the midpoint of PQ?


(b) The gradient of PQ is?

Answers

Answer:

a) (2,-8)

b) grad=4

Step-by-step explanation:

a) (5-1/2,-14-2/2)

=(4/2,-16/2)

=(2, - 8)

b)grad=-14-2/5-1

=-16/4

=4

: [ pls help I beg of you​

Answers

Answer:

10: add five

32, 37

11: divide by 9

3, 4

Which expression is equivalent to 7 (a 2) when a = 6? 7 (6) 9 (6) 7 (6) 2 7 (6) 14.

Answers

The expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

What will be the expression equivalent to 7(a + 2)  at a = 6?

We have an expression  

7(a + 2)  

Now at a = 6, its value will be

7 (6 + 2) = 7 × 8 = 56

Now from the given options we can see that

7 (6)=42

9 (6)=54

7 (6) + 2=44

7(6) + 14 = 42 + 14 = 56

Thus the expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

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What is one thing you learned in unit 3 geometry?

Answers

Answer: Geometry is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things. Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.

geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

Answer: The basic geometrical concepts are dependent on three basic concepts. They are the point, line and plane. We cannot precisely define the terms. But, it refers to the mark of the position and has an accurate location.

In two dimensions there are 3 geometries: Euclidean, spherical, and hyperbolic.

-by-step explanation:  is that Ur real pfp?

Answer: A lot of useless math.

Step-by-step explanation: I learned a bunch of math, I'll forget in like 2 years and never use, through-out my entire life.

Three students each have 10.2 pounds of laundry to wash. A fourth student has 3.4 pounds
of laundry to wash. How many pounds of laundry do they have in total? (give steps please!)

Answers

Answer:

34 pounds

Step-by-step explanation:

hi again!

so if three students have 10.2 to wash, we can find how many pounds the 3 students have in total by multiplying 10.2*3, because that is the same as doing 10.2+10.2+10.2. this gives us a result of 30.6 points for the three students.

now if the fourth student has 3.4 pounds, we just add that to 30.6

thus we have 30.6+3.4 which equals your answer, 34.

10.2(3) + 3.4 34lbs of laundry in total


Find the slope and the y-intercept of the graph of the linear equation.
y = -7x+2

Answers

Answer:-

[tex]\longrightarrow \sf Slope = -7 [/tex]

[tex]\longrightarrow \sf y-intercept = 2[/tex]

Solution:-

The equation of any straight line can be written as in slope intercept form as -

[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]

where,

m is its slope c is its y-intercept.

[tex]\leadsto[/tex]Comparing the equation y = -7x+2 with the standard form of the equation, we get -

[tex]\quad[/tex]m= -7[tex]\quad[/tex]c= 2

Hence,

slope of y=7x−2 is - 7 y -intercept is 2

How would you graph the solution set of x/6 ≤ -18?

A. closed circle on -3 and shaded to the left

B. closed circle on -108 and shaded to the left

C. closed circle on -108 and shaded to the right

D. closed circle on -3 and shaded to the right

Answers

i believe it’s B i could be wrong

At the market, 888 batteries cost \$10$10dollar sign, 10.
How much do 666 batteries cost?
\$

Answers

Answer:

$7.5

Step-by-step explanation:

If x = 9 and y = -3, evaluate the following expression: = 6x - 8y ​

Answers

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

Rita borrowed $7500 at an interest rate of 3%. The interest paid is $1462.50. For how many years did she borrow the money?​

Answers

Answer: 6.5 years

Step-by-step explanation:

the formula for simple interest is:

SI = PRT, SI is the interest after a time, P is the principle amount, R is the rate, and T is the time passed

In our case:

1462.50 = 7500 x 0.03 x T

Solving for T:

1462.50 = 225T

.: T = 1462.50/225 = 6.5 years

She borrowed the money for 6.5 years

What equation represents this linear equation

Answers

The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b).Mar 29, 2020

What is the volume of a sphere with a radius of 30.5, rounded to the nearest 10th of a cubic centimeters

Answers

I believe the answer to your question is 1.19 x 10^5, I’m not 100% sure if that is correct or not.

A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 1 centimeter. It has a cone tip with a height of 3 centimeters. What is the volume of the stylus? Express your answer in terms of π.

Answers

The volume of the cylindrical stylus having a conical tip will be V=14π [tex]cm^{3}[/tex]

What will be the volume of the stylus?

It is given that

height of the cylindrical shape of the stylus h=13cm

radius of stylus r= 1cm

height of the conical tip of the stylus h=3cm

Now we know that the

The volume of the cylinder = [tex]\pi r^{2} h[/tex]

The volume of the cone =  [tex]\dfrac{1}{3} \pi r^{2} h[/tex]

The total volume of the stylus = volume of the cylinder +volume of the cone

Total volume = [tex]\pi r^{2} h + \fdrac{1}{3} \pi r^{2} h[/tex]

now by putting the values

[tex]=\pi (13)(1)^{2} +\dfrac{1}{3} \pi (1)^{2} (3)[/tex]

So the total volume = [tex]14\pi cm^{3}[/tex]

Thus the volume of the cylindrical stylus having a conical tip will be V=14π [tex]cm^{3}[/tex]

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Roderigo has just finished paying back his $8,575 unsubsidized Stafford loan, which he took out to fund his four-year degree. The loan had a duration of ten years and an interest rate of 7. 1%, compounded monthly. Roderigo will allow interest capitalization. If Roderigo made monthly payments to pay off his loan, how much interest did he pay in total? Round all dollar values to the nearest cent. A. $4,547. 02 b. $3,426. 20 c. $7,353. 80 d. $5,436. 20 Please select the best answer from the choices provided A B C D.

Answers

Roderigo will pay $7353.80 in interest.

Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.

What is the formula for compound interest?

[tex]Amount=p(1+\frac{r}{n} )^{nt}[/tex]

p = 8575

r = 7.1% or 0.071

n = 12

t = 4

Putting the values in formula we get

[tex]Amount=8575(1+\frac{0.071}{12} )^{12(4)}[/tex]

[tex]Amount=8575(1+\frac{0.071}{12} )^{48}[/tex]

Solving this we get;

Amount = $11381.94

For the next part we have EMI formula as,

[tex]EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}[/tex]

p = 11381.94

[tex]r=\frac{7.1}{\frac{12}{100} }=0.005917[/tex]

[tex]n=(12)(10)\\n=120[/tex]

[tex]EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}[/tex]

EMI = $132.74

Now total payments made in 120 months (10 years) =

[tex]132.74(120)=15928.80[/tex]  dollars

interest paid =

[tex]15928.80-8575=7353.80[/tex] dollars

Hence, Roderigo will pay $7353.80

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Guys please help!!!!

If you have exponents in your answer please use ^ for example:

2^3= two to the power of three

Answers

Answer:

perimeter=6x+10

area=2x^2+2x-24

Step-by-step explanation:

perimeter=2x+8+x-3+2x+8+x-3

area=(2x+8)(x-3)

Find the value of x.

Answers

Answer: 91

Step-by-step explanation:

Solve the equation.

(8x3−9)3=5832

Answers

If you have a Scientific calculator you can type this in

A stained glass window has the dimensions shown what is the perimeter of the hole that should be cut in the wall in order for the window to be installed

Answers

Answer:

The answer is 100 feet.

Step-by-step explanation:

I

Evaluate 1/3 ( 9 - k ) using the distributive property

Answers

Answer:

3-[tex]\frac{1}{3}[/tex]k

Step-by-step explanation:

when using the distributive property multiply 1/3 into everything inside the parentheses.

So your first step is to multiply 1/3 to 9.

[tex]\frac{1}{3}[/tex] x [tex]\frac{9}{1}[/tex] keeping in mind that all numbers are divisible by one.

then you get your answer of [tex]\frac{9}{3}[/tex] which equals 3.

From there you want to distribute the [tex]\frac{1}{3}[/tex] into k but you don't know what "k" is so you'll have an answer of  [tex]\frac{1}{3}[/tex]k meaning that k whatever it is. Is being multiplied by the [tex]\frac{1}{3}[/tex].

Which equation represents this number sentence?
The product of 10 and a number is 3 less than the number
10n= n - 3
10n = 3 -n
10/n =3 - n
10/ = n - 3

Answers

Answer:

10n=3-1

solve for N

1

n=5

What is the quotient of startfraction negative 8 x superscript 6 baseline over 4 x superscript negative 3 baseline endfraction? startfraction x superscript 9 baseline over 32 endfraction 4x9 negative startfraction 12 over x squared endfraction –2x9

Answers

The quotient of the provided fractional number is equal to the option D which is,

[tex]-2x^9[/tex]

What is the quotient?

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The fraction given in the problem is,

[tex]\dfrac{-8x^6}{4x^{-3}}[/tex]

Let the quotient of the above function is q. Thus,

[tex]q=\dfrac{-8x^6}{4x^{-3}}[/tex]

In a fraction number, a negative power of a number in the denominator can be written with a positive number in the numerator and vise versa. Thus,

[tex]q=\dfrac{-8x^6(x^3)}{4}\\q=-2x^{6+3}\\q=-2x^9[/tex]

Hence, the quotient of the provided fractional number is equal to the option D which is,

[tex]-2x^9[/tex]

Learn more about the quotient here;

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Answer:

It's D -2x^9

Step-by-step explanation:

Which of the following is a linear function?

Answers

Answer:

[tex]\dfrac13x=y-3[/tex]

Step-by-step explanation:

A linear function is the form:  [tex]f(x)=mx+b[/tex]

A quadratic function is any polynomial function where the highest exponent is 2.

A cubic function is any polynomial function where the highest exponent is 3.

A reciprocal function is in the form:  [tex]f(x)=\dfrac{a}{bx}[/tex]

[tex]\dfrac13x=y-3[/tex]

[tex]\implies y= \dfrac13x+3[/tex]

Therefore, this is a linear function

Cubic function:    [tex]y=x^3+2[/tex]

Quadratic function:   [tex]y=6x^2[/tex]

Reciprocal function:   [tex]y=\dfrac{2}{3x}[/tex]

what is the vertex of y=-(x-5)^2?

Answers

Answer:

vertex:

x= 5

y= 0

coordinates: (5,0)

Step-by-step explanation:


Find the Range of this function.

Answers

Answer:

y ≥ -6

Step-by-step explanation:

Hello!

The domain is the interval in which the graph is located vertically on the coordinate plane.

The range is the interval in which the graph is located horizontally on the graph.

Since we are finding the range of the graph, we draw a horizontal line at the lowest point of that graph. We can see that the line is y=-6 because the lowest point given by that horizontal line is -6.

Now that we know that it is the lowest point, we must find the highest point of the graph. Looking at it, we can see that it goes infinitely up, or it continues above -6. This means that the graph hits every horizontal line above -6, or all the values above -6.

The interval would be -6 ≤ y ≤ ∞ (greater than or equal to sign because the graph includes the point) or we can simply rewrite it as all values above -6 or y ≥ -6.

A TV has a listed price of $728.98 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax included.

Answers

Answer:

$800.06.

Step-by-step explanation:

First you multiply 728.98 by 9.75% which is 71.08. Then you would add the two numbers together which gives you $800.06.

How would a bigger down payment be beneficial to borrowers? a. A bigger down payment is only beneficial for a person applying for a home loan. B. A bigger down payment is essentially a bribe to the dealership, guaranteeing a few extra bells and whistles for free. C. A bigger down payment means that the borrower has more money, and can afford a bigger loan. D. A bigger down payment is money paid toward principal, interest free, which also decreases the amount paid monthly.

Answers

The correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

What is interest?

The amount of money a lender or financial organization earns for lending out money is known as interest.

We know that monthly payments include the interest on the principal amount that is not been paid during the purchase of an item, if the down payment is more than the principal amount that the customer does not pay will decrease which will decrease the loan amount, thus, the interest on the principal amount will decrease as well.

Now, as the interest and the principal amount have both is been reduced, therefore, the monthly instalment(monthly payment) will be reduced as well.

Hence, the correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

Learn more about Interest:

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Answer:

d

Step-by-step explanation:

on edge

Blank______ are pieces of information that have already been collected before the research project starts. Multiple choice question. Sample data Primary data Customer surveys Secondary data

Answers

Answer:

Primary Data hope this helps

Step-by-step explanation:

Answer and you worlds smartiest.

Answers

Answer:

A.

Step-by-step explanation:

By using elimination, you get 0 = 1, which isn't a solution.

Let me know if this helped, brainly is appreciated <3

Answer:

The first answer choice (3x + y = 8 and 3x + y = 9)

Step-by-step explanation:

You can't have 3x + y equal 8 and 9.

It must only be 1 value.

there are 564 pupils in a school each students would get 253 pencils how many pencil will the school have to give out

Answers

Answer:

142692, that a lot of pencils

Step-by-step explanation:

Answer:

[tex]142,692[/tex]

Step-by-step explanation:

[tex]564 \times 253 = [/tex]

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