Is number one congruent? If it is how?

Is Number One Congruent? If It Is How?

Answers

Answer 1

Answer:

Yes, Triangles in (1) are congruent

Step-by-step explanation:

Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.

1.) They must posses similar shape

2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)

Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.

Therefore, the two triangles are congruent.


Related Questions

Is the figure a translation?

Answers

Answer: yes

Step-by-step explanation: A translation is a transformation that slides a figure to a new position.

So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.

So, this represents a translation.

What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3

Answers

Answer:

9x^8

Step-by-step explanation:

f(x) is a binomial.  Multiplying a binomial by itself results in a trinomial.  In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.

Here this is obtained by squaring the coefficient −3x^4.  We get"

(-3)^2*(x^4)^2  =  9x^8

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?

Answers

Answer:

25 degrees

Step-by-step explanation:

The angle WRS for the given triangle will be ∠WRS = 25°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that the triangle has an angle as shown in the image

The angle TRW → 25x + 30 = 180 -5x

→ x = 5°

Now the angle WRS → 180 - ( 25x + 30)

∠WRS = 25° hence, the correct answer will be this.

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Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?

Answers

Answer:

A

Step-by-step explanation:

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40

If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

We have given that,

Rebecca is given two triangles, ABC and DEF.

At first glance, she thinks that the triangles are congruent.

Therefore we have

What is the meaning of rotation?

Rotation is circular movement.

A rotation is the movement of something through one complete circle.

The daily rotation of the earth upon its axis.

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.

Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

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I really need help please :(

Answers

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.

A. quartiles
B. modes
C. medians
D. outliers

Answers

Answer:

The answer is D because outliers are data far away from the main data set.

Answer:

d

Step-by-step explanation:

All trapezoids are parallelograms.

A. True
B. False

Answers

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

No, All trapezoids are not parallelograms.

We know that,

Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.

Hence, By definition of trapezoids,

All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

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Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.

Answers

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Evaluate A² for A = 2.3

Answers

Answer:

5.29

Step-by-step explanation:

From A=2.3, A^2=2.3^2.3=2.3*2.3=5.29
Idk how to explain but 5.29 is the answer

Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in terms of (Pi)

Answers

Answer:

see below

Step-by-step explanation:

Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.

Communication Methods Among Teens
Frequency Two-Way Table
Which answer shows the relative frequency by the row
of girls?
O 52.5%, 23.0%, 24.6%, 100%
O 57.0%, 12.2%, 27.8%, 100%
O 60%, 12.2%, 27.8%, 100%
O 62.8%, 44.0%, 62.5%, 100%
Text
e-Mail
IM
Total
Boys
32
14
15
61
Girls
54
11
25
90
Total
86
25
40
151

Answers

Answer:

it’s c i think

Step-by-step explanation:

Answer C

Step-by-step explanation:

Solve the following equation 4×6x−7=1 x= log8log6 x= log2log6 x= log6log8 x= log6log2

Answers

Answer:

The value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].

Step-by-step explanation:

Solve the equation as follows:

[tex]4\times 6^{x}-7=1[/tex]

     [tex]4\times 6^{x}=7+1[/tex]

           [tex]6^{x}=\frac{8}{4}[/tex]

           [tex]6^{x}=2[/tex]

Take log on both sides.

[tex]\log(6^{x})=\log(2)[/tex]

[tex]x\log (6)=\log(2)[/tex]

        [tex]x=\frac{\log(2)}{\log(6)}[/tex]

Thus, the value of x is [tex]x=\frac{\log(2)}{\log(6)}[/tex].

please help a struggling man​

Answers

Answer:

x is all real numbers

Step-by-step explanation:

The domain is the input to the function.  It is the values that x can take.

For this function, x can be any real value

true or false ? why and why not ?


7a + 4 - 2a is equivalent to 7a + -2a + 4

Answers

True because it’s a diamond Rottweiler

the volume of a cone is 540pi. work out the height of the cone.

Answers

Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

[tex]r {}^{2} h = 1620[/tex]

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

[tex]r \times h = 40.249[/tex]

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!

Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?

Answers

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

[tex]\frac{80}{100} =.8[/tex]

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!


The formulae for kinetic energy is E =-mv2.

Find the value of E when m= 900 and v=1.3,

Answers

Answer: ΔKE = 760.5 Joules

Step-by-step explanation:

Isnt the formula for ΔKE = 0.5m*v^2???

Im not going to use that formula you gave me, its wrong.

900/2 = 450

1.3^2 = 1.69

450 x 1.69 = 760.5 Jules

This is also the wrong subject btw

evaluate.


(−1 2/3​)^2=

Answers

Answer:

Step-by-step explanation:

(-5/3)(-5/3)= 25/9= 2 7/9

write 3.25 x 10^4 as a ordinary number

Answers

Answer:

32500

Step-by-step explanation:

[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

que se necesita para que una magnitud vectorial esté completamente definida ?

Answers

Answer:

Dirección y magnitud

Espero que esto ayude.

Answer:

Dirección y magnitud

Step-by-step explanation:

A Car travels 42 km
On 7 litres of petrol. How long will it travel
on 12 litres of petrol.​

Answers

Answer:

The answer is 72

Step-by-step explanation:

You'll do 42 divided by 7 times 2

42/7x2

Hope it helps.

A car travels 72 km on 12 liters of petrol.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

A Car travels 42 km on 7 liters of petrol.

Now,

Since, On 7 liters of petrol a car travel 42 km

Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7

                                                                             = 6 km

So, On 12 liters of petrol distance cover by a car = 6 × 12

                                                                           = 72 km

Thus, A car travels 72 km on 12 liters of petrol.

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Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5

Answers

Answer:

Step 4

Step-by-step explanation:

Given: Steps used by Shelly to evaluate the expression

To find: step that includes Shelly's mistake

Solution:

According to PEMDAS,

P denotes Parentheses

E denotes Exponents

M denotes Multiplication

D denotes Division

A denotes Addition

S denotes subtraction

Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]

In step 4, first subtraction operation has been applied before the division operation.

There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.

Answer:

Step 4 is correct for plato

Step-by-step explanation:

-20 divided by 4.

Esme buys jackets for $500 each and prices them for $700 each. If the selling price is reduced by 20%, what's the profit percentage?

Please help!!! Imma mark you the brainliest!!​

Answers

12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

12% is the very correct answer ever

2xsquare-6x+3=0 by completing square method

Answers

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

PLEASE HELP ASAP the question is in the picture

Answers

can you please rotate the picture

What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A) (x − 11)2 + (y + 6)2 = 36 B) (x − 11)2 + (y − 6)2 = 36 C) (x + 6)2 + (y − 11)2 = 72 D) (x − 11)2 + (y − 6)2 = 72

Answers

Answer:

Its D

Step-by-step explanation:

The total points scored in a basketball game can be calculated using the expression 3c + 3.

If c = 41, how many points total were scored?

Answers

Answer:

126 points :D

Step-by-step explanation:

Quick answer 126

You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.

hat logarithmic function represents the data in the table?

x f(x)
25 2
125 3
625 4

Answers

Answer:

1

Step-by-step explanation:

Answer:

The answer is A!

a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Answers

Answer:

The vertex form of the equation is [tex]y = -\frac{1}{3}( x-1)^{2} +1[/tex].

Step-by-step explanation:

You will use the equation [tex]y=a(x-h)^{2} +k[/tex] to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get [tex]y= a(x - 1)^{2} +1[/tex].

Then, we substitute the point as our x and y to get [tex]-2 = 9a+1[/tex] (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the [tex]9a[/tex] to get [tex]9a = 3[/tex]. Finally, divide by 9 on both sides to get [tex]a=\frac{1}{3}[/tex].

Now, substitute your [tex]a[/tex] back into the equation to get y = [tex]-\frac{1}{3}(x-1)^{2}+1[/tex].

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get [tex]y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}[/tex].

How many lines of rotational symmetry does this shape have?

Answers

Answer:

14 lines shape symmetry

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