Question 3
Find the distance from the vertices of AABC to the corresponding vertices of the other three triangles, and enter them in the table. For AJKL
you'll need to use the distance formula d = ( 1-32)+(91 - y2) Verify your calculations using the tools available in GeoGebra
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US 2:43
Cho

Respuesta:

15%

Explicación paso a paso:

Dado :

Precio de compra = $ 4000

Precio de venta = $ 4600

El beneficio obtenido por la venta del artículo:

Precio de venta - precio de compra

$ (4600-4000) = $ 600

El porcentaje de beneficio obtenido:

Beneficio / precio de compra * 100%

600/4000 * 100%

600/4000 * 100%

0,15 * 100%

= 15%

Answer:

A. 4x² + 9x/4 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/4 - 3

g(x) = 4x² + 2x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

f(x) is shrinked

Step-by-step explanation:

Given

[tex]f(x) = 4^x[/tex]

[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]

Required

The effect of dilation on f(x)

From the given parameters, we have:

[tex]f(x) = 4^x[/tex]

[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]

On a general term;

[tex]g(x) = k * f(x)[/tex]

So by comparison:

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

When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink

Answer:

1.)36

2.)54

Step-by-step explanation:

sana po makatulong gehehe

Answer:

Step-by-step explanation:

[tex]5) 5\frac{11}{12}+3\frac{5}{6}=5+\frac{11}{12}+3+\frac{5}{6}\\\\ =8 +\frac{11}{12}+\frac{5*2}{6*2}\\\\= 8 +\frac{11}{12}+\frac{10}{12}\\\\=8 +\frac{11+10}{12}\\\\= 8+\frac{21}{12}\\\\=8+ 1\frac{9}{12}\\\\= 9\frac{9}{12}[/tex]

Answer:

(3)11

Step-by-step explanation:

We are given that

[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]

We have to find the sum of positive roots of the equation.

[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]

[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]

[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]

[tex]x^4-2x^3-61x^2+62x+336=0[/tex]

Factor of 336

2,3,4,6,8,7,

Let x=2

[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]

x=2 is not the root of equation

x=-2

[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]

Therefore, x=3  is the root of equation.

[tex](x+2)(x-3)(x^2-x-56)=0[/tex]

[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]

[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]

[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]

[tex]x-8=0\implies x=8[/tex]

[tex]x+7=0\implies x=-7[/tex]

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

Answer:

2 : 1

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

If one of the angle = 120°

The other angle = sum of supplementary angle - one of the angle

= 180° - 120°

= 60°

The other angle = 60°

ratio of pair of supplementary aangle = 120° : 60°

= 120° / 60°

= 2/1

= 2 : 1

ratio of pair of supplementary aangle = 2 : 1

Answer:

_____________________________

2 x 5 = 10

2 x 4 = 8

10 + 8 = 18

______________________________

5 + 4 = 9

_______________________________

_ 9 = 18

18 : 9 = 2

The equation of the line that connects the two points (1,9) and (-2,3) is,

y = 2x+7

or, y-3=2x+4

or, y-3=2(x+2)

So, option c, is the correct option

Answered by GAUTHMATH

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

Answer:

Hollerith tabulating machine

Step-by-step explanation:

The Hollerith tabulating machine was invented by Herman Hollerith in other to assist in the data processing of the United States 1890 election. This machine was used to read and summarize the information stored on punchcards. This machine paved the way for the development of enhanced models which were employed for accounting and some other aspects related to business management.

Answer:

Step-by-step explanation:

r=5 cm

area=πr²

perimeter=2πr

substitute the value of r and calculate.

Answer:

78.54 [tex]cm^{2}[/tex] Area

31.42 cm   Circumference/perimeter

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi[/tex]r

A = [tex]\pi[/tex][tex]5^{2}[/tex]

A = 25[tex]\pi[/tex]

A = 78.54

C = 2[tex]\pi[/tex](5)

C = 10[tex]\pi[/tex]

C = 31.42

Answer:

Step-by-step explanation:

total number of students=22

number of female students=7

number of male students=22-7=15

number of male students not having A=3

Number of male students having A=15-3=12

P(male student having A)=12/22=6/11

The probability that a student who has an A is male is approximately 0.632

We can use the formula for conditional probability:

P(Male | A) = P(Male and A) / P(A)

We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:

19 - 7 = 12

Therefore, the probability that a student who has an A is male is:

P(Male | A) = 12 / 19

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):

P(Male | A) = 12 / 19

So the probability that a student who has an A is male is approximately 0.632.

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Answer:

A. x² + 3x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = x² + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

D. x² + 3x + 1

Step-by-step explanation:

Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1

Find :- ( f + g ) ( x )

Solution :-

( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))

( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )

( f + g ) ( x ) = ( x² + 3x - 1 )

Answer:

194

Step-by-step explanation:

Rectangles :

7 x 10 = 70

6 x 10 = 60

4 x 10 = 40

Triangles

[tex]\frac{6x4}{2}[/tex] = 12   (two of them = 24)

70 + 60 + 40 + 24 = 194

Answer:

the answer to the question is C

Answer:

check footprints and then check finger print the finger print pour powder on it and Trace

Answer:

[tex]\angle DFE = \angle DFG[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

What makes DEF and DGF congruent

We have:

[tex]EF = GF[/tex] --- this is indicated by the single line on both sides

Also:

[tex]DF = DF[/tex] --- both triangle share same side

For SAS to be true;

2 sides and 1 angle must be equal in either triangles

So far, we have:

[tex]EF = GF[/tex] ---- S

[tex]DF = DF[/tex] ---- S

The additional to complete the proof is:

[tex]\angle DFE = \angle DFG[/tex] ---- angle between the above sides

Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG. Option B.

Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.

The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.

So that,

GF ≅ FE (given)

DF is the common side to triangles DEF and DFG.

DFG is the included side.

Thus;

∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)

Visit: https://brainly.com/question/16884384

Answer:

(a): 6 centimeters

(b): 72 inches

Step-by-step explanation:

Rule: From centimeters to inches, multiply centimeters × 8

so from inches to centimeters, divide inches by 8

Scale:

1 cm : 8 in

? cm : 48 in

6 cm : 48 in

Scale:

? in : 9 cm

72 in : 9 cm

Answer:

B. 22°

Step-by-step explanation:

Angle bisector divides an angle into two equal angles.

Angle AVM = Angle MVM = Angle AVB / 2

Angle AVM = Angle AVB / 2

Angle AVM = 88 / 4

Angle AVM = 22°

Answer:

44

Step-by-step explanation:

Answer:

[tex]{ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}[/tex]

When a pair of parallel lines is intersected by a transversal, then

Corresponding angles are equal.

∠2 and ∠6 are corresponding angles.

So, m∠2 = m∠6

=> m∠2 = 123.5°

We know that linear pair of angles are supplementary (180°).

∠1 and ∠2 are linear pair of angles.

So, m∠1 + m∠2 = 180°

=> m∠1 + 123.5° = 180°

=> m∠1 = 180° - 123.5°

=> m∠1 = 56.5°

Answer:

[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]

Answer:

The equation of a perpendicular line to  

y =( -1/3 )x+b (b is a normal number)

Step-by-step explanation:

1.Use the slope-intercept form to find the slope.

Tap for more steps...

m = 3

2. the perpendicular line to y=3x+3

must have a slope that is the negative reciprocal of the original slope.

thus,

m perpendicular  =  −1/3

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

correct on edmentum or plato

Answer:

The length of the shortest side of the triangle is 10 units.

Step-by-step explanation:

Let a be the shortest side of the isosceles triangle and b be the two congruent sides.

The congruent sides b are each one unit longer than the shortest side. Hence:

[tex]b=a+1[/tex]

The perimeter of the isosceles triangle is given by:

[tex]\displaystyle P_{\Delta}=b+b+a=2b+a[/tex]

This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be s. Hence:

[tex]s=a-2[/tex]

The perimeter of the square is:

[tex]\displaystyle P_{\text{square}}=4s=4(a-2)[/tex]

Since the two perimeters are equivalent:

[tex]2b+a=4(a-2)[/tex]

Substitute for b:

[tex]2(a+1)+a=4(a-2)[/tex]

Solve for a. Distribute:

[tex]2a+2+a=4a-8[/tex]

Simplify:

[tex]3a+2=4a-8[/tex]

Hence:

[tex]a=10[/tex]

The length of the shortest side of the triangle is 10 units.

Answer:

A, C, and D

Step-by-step explanation:

Answer:

the answer is A, C And D

Step-by-step explanation:

ADC

Answer:

114

Step-by-step explanation:

114

Answer:

kids at playground

children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best

[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]