State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.

Answers

Answer 1

Answer:

a)True

b)True

c) False

d) True

e)True

f) True


Related Questions

Complete the net worth statement by determining the total assets and total liabilities.What is the net worth? A 178,000 B 180,338 C 1,052,662 D 1,233,000

Answers

The total liabilities is $180,338

The total assets is  $1,233,000

The net worth is $1,052,662

What is the net worth, assets and liabilities?

Net worth is total assets less liabilities. Assets is the sum of liquid assets and non liquid assets. Liabilities is the sum of car loan and mortgage loan.

Assets = 178,000 + 1,055,000 = $1,233,000

Liabilities = 145,908 + 34,430 = $180,338

Net worth =  $1,233,000 - $180,338 = $1,052,662

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I need the answer to this please

Answers

Answer:  the answer is D, if you just graph it in the Desmos graphing calculator you can solve it easily

Unit 6: Radical Functions

Homework 3: Add/Subtract/Multiply Radicals
Show your work!

4. [tex]5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y[/tex]

5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]

6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]

7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

4.

[5∛32x³y⁴] - [3xy³√4y][5*2*x*y ∛4y] - [3xy³*2 √y]10xy∛4y - 6xy³√y2xy [5∛4y - 3y²√y]

5.

15√2 * -2√20-30√40-30*2√10-60√10

6.

4³√-9 * 7³√484³*3√-1 * 7³*4√3263424√-3263424i√3 [i is the complex number for √-1]

7.

[tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]30√72w¹⁶30*6*w⁸√2180w⁸√2

5 people are evenly sharing 12 kilograms of apples.
How many kilograms of apples should each person get?
Choose 1 answer:
A. 5/12 kilograms of apples
B. 2 10/5 kilograms of apples
C. 12/5 kilograms of apples
D. 1 2/5 kilograms of apples

Answers

The answer is 5/12 kilograms of apples which is A

Answer:

C. 12/5 kilograms of apples

Step-by-step explanation:

If 5ppl =12kg of apples

then 1 person= ?kg of apples

If more less divides and if less more divides

Therefore

1×12

5

= 12

5

How do you find the sector area of a circle?

Answers

Answer:

where's question.....

50 POINTS FOR QUESTION 24 thank u!!

Answers

Answer:

Each instalment = £27.45

Step-by-step explanation:

Given:

Price of work trolley = £59.90Deposit = £5

Remaining balance to be paid = Price of work trolley - deposit

                                                   = £59.90 - £5

                                                   = £54.90

If the remaining balance is to be paid in 2 instalments:

Cost of each instalment = remaining balance ÷ 2

                                        = £54.90 ÷ 2

                                        = £27.45

Data can be classified as categorical or
numerical. Which question would be classified as
numerical?
A. Which grade are you in?
B. What is your zip code?
C. Who is your favorite artist?
D. How many texts did you send this week?

Answers

Answer:

D

Step-by-step explanation:

A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter.​

Answers

we should find perimeter.

45+40+50=135m.

then, we should multiply 135 and rate of per meter.

135×60=8100Rs.

Tayshawn is going to spend 35% of his money on a gift for his mother. If the gift costs $42 how much money does Tayshawn have


6th grade

Answers

well, he has "x", which oddly enough is 100%, and we also know that 42 is 35% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 42& 35 \end{array} \implies \cfrac{x}{42}=\cfrac{100}{35}\implies \cfrac{x}{42}=\cfrac{20}{7} \\\\\\ 7x=840\implies x=\cfrac{840}{7}\implies x=120[/tex]

Please help me. I will make Brainliest

Answers

i believe the correct answer is D

Factored form;
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)

Answers

The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function

The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

How to determine the factored form?

The expression is given as:

f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)

Express as difference of two squares

f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)

Expand

f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)

Factorize the expression

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

Factor out x + 1

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

Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

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how do i find the vertex of y= -4x^2-16x+1 ?

Answers

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)

Which sequence of transformations shows that Figure A is similar to Figure B?



Rotate Figure A 180º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Reflect Figure A across the y-axis, then dilate it with the center at the origin and a scale factor of 12.

Dilate Figure A with the center at the origin and a scale factor of 2, then translate it to the left 4 units.

Answers

Answer:

That would be the second option:  Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

-yOuR nEiGhbOrhOoD cLEaNeR ;)

Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.

Answers

Answer:

Slope Intercept Form: y=3x-10

Step-by-step explanation:

First, we need to solve the slope.

The formula: y2-y1/x2-x1 = m


Coordinate Points:

(2, -4) ; (4,2)

Do 2 - (-4) for the y's and 4-2 for the x's

Formula: 2-(-4)/4-2

2 - (-4) is a positive answer since the negatives cancel to a positive.

That shall be 6.


4-2 = 2

Now we have 6/2 which means 6 divided by 2 which is 3.

Our slope is 3.

Slope-Intercept Formula: y=mx+b

Our "m" is 3

y = 3x + b


Our b which is the y-intercept is undefined.

We need to plug one of the coordinates into the formula to find it.

Plug (2,-4) into the formula.

-4 = 3(2) +b

Do 3 x 2 first

-4 = 6 + b

Now subtract 6 on both sides

-6-4 = b

Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.

Formula: y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.

How to determine the slope of the line?

The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.

Determining the slope of the line:

[tex]\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,

Point₁   =  (x₁, y₁)  =  (2, -4)   ⇒  x₁ = 2     y₁ = -4Point₂  =  (x₂, y₂) =   (4, 2)   ⇒  x₂ = 4      y₂ = 2

When we substitute the following into the formula, we obtain;

[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }[/tex]

When we perform subtraction, we obtain;

[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}[/tex]

Which when simplified, we get;

[tex]\implies\large\text{Slope} = \dfrac{6}{2} = 3[/tex]

Determining the equation of the line:

As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.

Chosen point: (4, 2)

Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.

⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)

Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).

⇒ Point slope form: y - 2 = 3x - 12

The slope intercept form states that;

Slope intercept form: y = (m)x + (b)  

We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.

⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10

Therefore, the equation in slope intercept form is y = 3x - 10.

How do you find the volume of a cube?

Answers

Answer:

V = s³

Step-by-step explanation:

You multiply all sides together (L×W×H)

Please Help Me ASAP.

Answers

Answer:

x > -10

Step-by-step explanation:

5 - 3x > 35

-5           -5

-3x > 30

[tex]\frac{-3x > 30}{-3}[/tex]= x > -10

What is the length of the hypotenuse in the right
triangle?
O 2,593 cm
O 60 cm
14,225 cm
O 65 cm

Answers

Answer:

sqrt(2593)

Step-by-step explanation:

17^2+48^2 = 2593^2

Which ones are greater?

-9 ? 2
-1 ? -3
3 ? -7
-8 ? -4

Answers

Answer:

-9<2

-1>-3

3>-7

-8<-4

Explanation:

< = less than

> = more than

Answer:

2 -1 3 -4 and its always positive if you do the negitives it would be the lowst

PLEASE HELP !!!!!!??

Answers

Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

Given that you have a pentagon. What would be the measure of the sum of the exterior angles?

Answers

Answer:

360°

Step-by-step explanation:

the sum of the exterior angles of any polygon = 360°

Someone please help me I'm desperate. I'll also mark brainliest

#1 The area of the composite figure is...

#2 The area of the composite figure is...

#3 The area of the shaded figure is...

Answers

I am not sure but according to my calculation answer of no.1 may be 67. And I am in 8 grade so I couldn't solve others. So sorry !!

A triangle has angle measures of 41 cm, and 24 cm. Find the measurement of the missing angle in the triangle.

Answers

Answer:

115

Step-by-step explanation:

41+24=65.

180-65=115

The height of the prism is ….

Answers

Answer:

[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]

Step-by-step explanation:

Given:

Shape of object is pentagonal prism

Side of pentagon= 12mm

Apothem of pentagon= 5 mm

Volume of pentagonal prism= 2,850 cubic mm.

To find:

Hieght of pentagon prism= ?

Solution:

To find height of prism it's necessary to calculate the surface area of base,

[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]

[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]

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The required height of the pentagonal prism is 19 cm                              

Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.

What is volume?

Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.


In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.

The base area = 5/2 * side * perpendicular height to side from center.
                         = 5 / 2 * 12 * 5
                         = 150
The volume of the prism = base area * height
                              2850 = 150 * height
                             height = 2850/15
                                         =  19 cm

Thus, the required height of the pentagonal prism is 19 cm                              

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PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE

Answers

Answer:

7

Step-by-step explanation:

As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.

7 being your answer.

Answer:

7

Step-by-step explanation:

Given the recursive formula.

[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]

Use it to determine the value of te third term.

[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]

Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.

If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.

Answers

Answer:

height of the tower: 165.8 ft

use tan rule:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:                            [ your calculator should be in degree mode [D] ]

x = 37°opposite = height of the toweradjacent = 220

Solve:

[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]

[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]

[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]

Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?

Answers

En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.

¿Cuánto se retrasa el reloj en un mes?

La mayoría de los meses tienen entre 30 y 31 días:

Mes de 30 días:

3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundos

En general se atrasa 1.5 minutos en un mes.

¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.

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A bond issued by ford on may 15, 1997 is scheduled to mature on may 15, 2097. if today is november 16, 2020, what is this bond's time to maturity?

Answers

The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.

What is the time to maturity?

The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.

Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months

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-2 1/5 (10x - 4.4) - 0.32

Answers

−42x+ 18.16

I think !!

Help please… thank you!

Answers

Answer:

B

Step-by-step explanation:

5 × pi ÷12 = 75 degrees

this is essentially cos75

= cos(30 + 45)

then we use the identities to solve.

the answer will = to 0.2588

someone help me please

Answers

Answer:

b

Step-by-step explanation:

the x has been cubed meaning

X * X *X = x^3

X^3 has been added to 5

C is saying they multiplied three to x therefore being

B

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