The proof that UX ≅ SV is shown.

Given: △STU an equilateral triangle

∠TXU ≅ ∠TVS

Prove: UX ≅ SV

Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.

What is the missing statement in the proof?

Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Mark this and return

tick number 1 and 5. because if 30%=120 , therefore 100%= 100/30*120=400

Answer:

x = 3 or x = -3

Step-by-step explanation:

x^2 -9 =0

x^2 = 9

x = 3 or x = -3

Step-by-step explanation:

if your question is

x²+5-14=0

x²-9=0

x²=9

x=√9

x=3 ans

The graph that best models the exponential function [tex]f(x) = 3(3)^{-x} = \frac{3}{3^x}[/tex] is graph A.

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem, the function is:

[tex]f(x) = 3(3)^{-x} = \frac{3}{3^x}[/tex]

The initial value is:

[tex]f(0) = \frac{3}{3^0} = 3[/tex]

The x in the exponent is negative, which means that it is a decaying function, hence graph A is correct.

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Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

Answer:

4x-28+8

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

g(-1)=3×(-1)²-2×(-1)-5 g(-1)=3×1+2-5 g(-1)=3+2-5 g(-1)=5-5 g(-1)=0 ......

The value of g(x) = 3x² - 2x - 5, at x = -1 is g(-1) and it is equal to zero.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) = 3x² - 2x - 5.

Now, The value of g(-1) is the same as x = - 1 in g(x).

Therefore, g(-1) = 3(-1)² - 2(-1) - 5.

g(-1) = 3 + 2 - 5.

g(-1) = 0.

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Answer:

[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]

Step-by-step explanation:

[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]

Substraction

[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]

Answer:

y = 20b + 13

Step-by-step explanation:

From the above, we want to get y

Using the given d value, we simply proceed to substitute

y = 5x-2

x = 4b + 3

Substituting x-values, we have

y = 5(4b + 3)-2

y = 20b + 15-2

y = 20b + 13

Answer:

O and N is a function

K is not a function.

Step-by-step explanation:

O and N is solved for X perfectly, but K has mixed variables so there isn't a y-intercept.

Answer:

im guessing 12 because 12x12=114, and since the garden is a square, we length/with has to be the same number.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

2*[tex]2^4[/tex]-3*[tex]2^3[/tex]+9

2*16-3*8+9

32-24+9

17

Answer:

28

Step-by-step explanation:

the pattern is 7. 35 - 7 = 28

Answer:

AB = 18 in.

BC = 22 in.

ED = 33 in.

Angle B = not possible

Angle C: not possible

Angle D = 39°

Angle E: not possible

Angle F: not possible

Step-by-step explanation:

Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.

AB corresponds to DF (ΔABC ≅ ΔDFE)

Because DF = 18, then AB must equal 18.

BC corresponds to FE (ΔABC≅ΔDFE)

Because FE = 22, then BC must equal 22.

ED corresponds to CA (ΔABC≅ΔDFE)

Because CA = 33, then ED must equal 33.

Angle D corresponds to angle A (ΔABC≅ΔDFE)

Because angle A = 39°, then angle D must equal 39°.

All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.

I hope this helps you :)

Answer:

1/17 + 4i/17

Step-by-step explanation:

Answer:

The parent function is y = x³.

After a vertical stretch by a factor of 3, obtain

y = 3x³

After a horizontal shift 4 unit to the right, obtain

y = 3(x - 4)³

After a vertical shift 3 units down, obtain

y = 3(x - 4)³ - 3

Answer:   y = 3(x - 4)³ - 3

y = 3(x - 4)³ - 3  is the equation of y=x³ with the given transformations

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

The given equation is y=x³

A translation of a graph is its rigid movement, vertically or horizontally.

From given we have,

There is a vertical stretch of 3 units, hence the function is multiplied by 3.

There is a horizontal shift of 4 units to the right, hence x -> x - 4.

There is a vertical shift of 3 units down, hence 3 is subtracted from the function.

The required equation is given by y = 3(x - 4)³ - 3.

Hence  y = 3(x - 4)³ - 3  is the equation of y=x³ with the given transformations

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Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Step-by-step explanation:

if x is 7 ok so 2(7)+5

14+5

19

Answer:

1.06666666667. this could be wrong as I got this of Google. or 1.06 . btw idk how to explain it

Answer:

Point A

Step-by-step explanation

Got it correct on edge test

Point A represents (3, - ). Therefore, the correct option is option A among all the given options.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. It matters how the coordinates are arranged.  

Sometimes they are recognised by their place in an ordered tuple, and other times they are recognised by a letter, such as "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers. Point A t represents (3, - ).

Therefore, the correct option is option A.

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Answer:?

Step-by-step explanation:

Answer:

Note. There is a mismatch between the graph and the equation

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

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

If we go by the equation, then:

Answer:

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

Step-by-step explanation:

You have to match statements with their mathematical expressions.

I will match the statements with their mathematical forms.

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

Complete Question:

Henry places x marbles into an empty bucket.  Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown: ​3x + 8

What does the term 8 represent in this expression?

Answer:

The weight of the bucket

Step-by-step explanation:

Given

[tex]Weight = 3x + 8[/tex]

Required

What does 8 represent?

The given expression illustrates the weight of the whole system i.e. bucket and marbles

i.e.

[tex]Weight = Weight\ of\ x\ marble + Weight\ of\ Bucket[/tex]

Since there are x marbles, by comparison:

[tex]Weight\ of\ x\ marble = 3x[/tex]

[tex]Weight\ of\ bucket = 8[/tex]

Hence, 8 represents the weight of the bucket

It follows a pattern

Step-by-step explanation:

So I guess it's B?

Answer:

3x + 15

Step-by-step explanation:

when distributing, multiply the number outside of the parentheses by the numbers inside the parentheses.

Hey there!

3(x + 5)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(x) + 3(5)

= 3x + 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

a) [tex]2x^2+8-5x+-3x^2-4+7x\\\\= -1x^2+2x+4[/tex]

b) [tex]2x^2+8-5x--3x^2-4+7x\\\\= 5x^2+2x+4[/tex]

Answer:

y=2x=2

Step-by-step explanation:

bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time

Answer:

Step-by-step explanation:

Answer:

k

Step-by-step explanation: