I need help making a proof for geometry! Here is the question…
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!

Answer:

x = 2a

Step-by-step explanation:

a(x - a) = a² ( divide both sides by a )

x - a = a ( add a to both sides )

x = 2a

Answer:

x = 2a

Step-by-step explanation:

Given equation

[tex]\sf a(x-a)=a^2[/tex]

Make x the subject

expand brackets:

[tex]\sf \implies ax-a^2=a^2[/tex]

Add [tex]\sf a^2[/tex] to both sides:

[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]

[tex]\sf \implies ax=2a^2[/tex]

Divide both sides by a:

[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]

[tex]\sf \implies x=2a[/tex]

Final solution

[tex]\sf x=2a[/tex]

Answer:

396 cm²

Step-by-step explanation:

    Let us break this shape into two parts.

    The left part:

27 cm² * 10 cm² = 270 cm²

    The right part:

24 cm² - 10 cm² = 14 cm²

14 cm² * 9 cm² = 126 cm²

    Total area:

270 cm² + 126 cm² = 396 cm²

Answer:

8

Step-by-step explanation:

10/3 divided by 5/12

10/3 multiple 12/5

So the 3 and 12 will cross out same as 10 and 5 then we will get 8 as an answer

Answer:

its 54

Step-by-step explanation:

i got it right on time4learning

Answer:

The answer is 24

just multiply 6 and 4 together

The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.

Given Data

A = P + I where

P (principal) = $3,000.00

I (interest) = $573.05

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,000.00(1 + 0.06/1)^(1)(3)

A = 3,000.00(1 + 0.06)^(3)

A = $3,573.05

Learn more about compound interest here:

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Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

[tex] s = \dfrac{a + b + c}{2} [/tex]

[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

[tex] s = \dfrac{a + b + c}{2} [/tex]

[tex] s = \dfrac{3 + 4 + 5}{2} [/tex]

[tex] s = 6 [/tex]

[tex] area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex] area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)} [/tex]

[tex] area = \sqrt{6(3)(2)(1)} [/tex]

[tex] area = \sqrt{36} [/tex]

[tex] area = 6 [/tex]

Answer:

2x+14+6y

Step-by-step explanation:

Step-by-step explanation:

c² = a² + b²

c² = 7² + 11²

c² = 49 + 121

c² = 170

now u have to square root it

c² = 170

c = 13

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Answer:

B. -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞

Step-by-step explanation:

The domain of a graph is all the x-values it covers. Since this graph does not have any arrows at its end or beginning points, we can assume it goes on forever. Lines that go on forever always have an infinite domain.

This is the best I could find

Some recommended apps for solving geometry and triangle problems are "Ge oGebra," "De smos Geometry," and "Ma thway."

Ge oGebra: Ge oGebra is a versatile mathematics app that covers various topics, including geometry and triangles. It provides interactive tools for constructing and analyzing geometric shapes, making it a valuable resource for visualizing and understanding different properties and theorems related to triangles.

De smos Geometry: While De smos is primarily known for its graphing capabilities, the De smos Geometry app also offers tools for creating and manipulating geometric shapes, including triangles. It can help users explore and solve various triangle-related problems.

M athway: M athway is a comprehensive math problem-solving app that covers a wide range of topics, including geometry and triangles. Users can input specific problems, and the app provides step-by-step solutions, making it a helpful tool for both learning and verifying answers to geometry and triangle problems.

To know more about geometry, click here.

https://brainly.com/question/16836548

#SPJ2

------------The given question is incomplete, the complete question is:

"What are some recommended apps for solving geometry and triangle problems?"-------------

Answer:

A norm and a metric are two different things.  .

Step-by-step explanation:

The norm is measuring the size of something, and the metric is measuring the distance between two things. A metric can be defined on any set . It is simply a function which assigns a distance (i.e. a non-negative real number) to any two elements .

The major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.

It is defined as the numerical quantity that gives an idea about an object's size, length, width, and many more. It can be used to compare two objects.

The major difference between metrics and norms is as follows:

Thus, the major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.

Learn more about the measurements here:

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Answer:

b) -b/a

Step-by-step explanation:

Slopes of perpendicular lines are negative reciprocals. That means to flip the fraction and change the sign. :-)

The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

Learn more about probability on:

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Answer:

2(x - 2)

Step-by-step explanation:

- 4(x + 1) + 6x ← distribute parenthesis by - 4

= - 4x - 4 + 6x ← collect like terms

= 2x - 4 ← factor out 2 from each term

= 2(x - 2)

=================================================

Let's simplify this expression.

The first step is to use the distributive property, which states:-

[tex]\bigstar{\boxed{a(b+c)}[/tex]

Simplify:-

[tex]\bigstar{\boxed{-4(x+1)}[/tex]

[tex]\longmapsto\sf{-4x-4}[/tex]

Add 6x:-

[tex]\longmapsto\sf{-4x+6x-4}[/tex]

Combine Like Terms:-

[tex]\longmapsto\sf{2x-4}[/tex]

Now, we should write our answer in factored form, so we factor 2 out:-

[tex]\longmapsto\sf{2(x-2)}[/tex]

=============================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

1/3 probability

Step-by-step explanation:

The probability that you flip heads is 1/2, one heads out of two possible (heads and tails).

The probability that you draw a purple marble is 2/3, two purples and three total (2 p +1 w).

To find the probability of both happening, multiply the probabilities together:

(1/2) * (2/3) = (2/6) = (1/3)

The length of one of the legs  of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.

Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.

The  isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.

Therefore,

hypotenuse = 7(√2)

let the length of the other legs = x

Therefore, using Pythagoras theorem

c² = a² + b²

(7(√2))² = x² + x²

49 × 2 = 2x²

98 = 2x²

x² = 98 / 2

x = √49

x = 7 units

learn more on isosceles triangle here: https://brainly.com/question/10412877

Answer:

A'=(-3,6)

B'=(-5,5)

C'=(-4,2)

D'=(-2,2)

E'=(-1,4)

Step-by-step explanation:

Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.

Hope this helps!!!

Answer: 11/2

Reciprocal: 2/11

Step-by-step explanation: 11/2 is 5.5 (between 5 and 6) the reciprocal or 11/2 is 2/11

Answer: E

Step-by-step explanation:

Side triangles; 6.

(3x4/2=6)

There are 2 triangles.

Back of triangle thing is 24.

Top area is 40.

Bottom area is 32.

12+24+40+32

Answer is 108.

I THINK that is the correct answer. I am so so sorry if it isn't.

Answer:

E- 108 in squared. Hope this helps!

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

44/7x

Step-by-step explanation:

circumference of circle= 2πr

=2×22/7×x

=44/7x

Answer:

55°

Step-by-step explanation:

The definition of an isosceles triangle is that there are two sides of equal length and one side of a different length. Because two sides have the same length, their respective angles have the same measure. For example, side BC goes with angle A; because it is the same length as side AB which goes with angle C, angles A and C are the same. Just set the angles equal to each other and begin solving an algebraic expression as shown here:

[tex]3x+40=x+50\\3x-x+40 = x-x+50\\2x+40=50\\2x+40-40=50-40\\2x=10\\\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

Now that you know what x is equal to, plug it into angle A's equation.

[tex]3(5)+40\\15+40\\55[/tex]

Angle A is equal to 55°

The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.

If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:

Surface area of solid A/Surface area of solid B = a²/b²

Volume of solid A/Volume of solid B = a³/b³

Given that solid A and solid B are similar, and:

Find their corresponding dimensions, a and b:

Surface area of solid A/Surface area of solid B = a²/b²

Substitute

675/432 = a²/b²

√(675/432) = a/b

1.25 = a/b

Scale factor of Solid A to Solid B is 1.25.

Multiply 1.25 by 960 to get the volume of solid A.

Volume of solid A = 960 × 1.25 = 1,200 m³.

Learn more about area and volume of similar shapes on:

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This function is Exponential

Hope that helps!

Ok here is the fastest way to do this:

Since M is the midpoint of AB, and the x-value of M is smaller than A, this means that M is to the left of A.

Subtract x-value of M from x-value of A: 6 - 4 = 2

We know that B is also to the left of M. So you subtract 2 from the x-value of M: 4 - 2 = 2

Notice that of the choices below, only one answer has the x-value of 2.

B

Answer:

A=130cm2

Step-by-step explanation:

13x10=130