AB BG, AC GC, ZABC LGBC ZBACZBGC
A
B
#
C
G
1. What rigid transformation will take triangle GBC onto triangle ABC?

2. Explain why G' will coincide with A

3. Is triangle GBC congruent to triangle ABC? Explain your reasoning, and be sure to list any sides/angles you compared.

CAN SOMEONE HELP ME PLS, YOU’LL EARN FREE EASY POINTS IF IT’S THE RIGHT ANSWER, NO RANDOM ANSWERS BC YA’LL BE GIVING ME THE WRONG ANSWER SOMETIMES :(

AB BG, AC GC, ZABC LGBC ZBACZBGCAB#CG1. What Rigid Transformation Will Take Triangle GBC Onto Triangle

Answers

Answer 1

Answer:

Step-by-step explanation:

1) Reflection over [tex]\overline{BC}[/tex]

2) The triangles are congruent by SAS, so when [tex]\triangle GBC[/tex] is mapped onto [tex]\triangle ABC[/tex], because points [tex]G[/tex] and [tex]A[/tex] are corresponding, [tex]G'[/tex] will correspond with [tex]A[/tex].

3) Yes, because [tex]\overline{BG} \cong \overline{AB}, \overline{GC} \cong \overline{AC}, \angle BAC \cong \angle BGC[/tex], so the triangles are congruent by SAS.


Related Questions

A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each prism as shown. What is the volume of the​ slice? What is the volume of the remaining​ cake? Use pencil and paper. Describe two ways to find the volume of the slice.
P.S. pls help me

Answers

The volume of the slice is 40 in³. The volume of the remaining cake is 197.014 in³.

What is a regular hexagon?

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with side length = 3 in, height = 3 in

One big hexagon cake, side length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with side length = length of hexagon side

Also, all angles within the equilateral triangle are 60° each

Therefore, the length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                 = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                     = 4√3

The volume of big slice =  Area of surface of big slice × Height of big slice

= 16√3

= 28

Total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake, the remaining volume = 5 x 11.69 = 58.45

For the big cake the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake = 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is, therefore,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

Volume of small slice = a^2 x h x √3/4

                                    = 9 x 3 x √3/4 = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                 = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of slice = 39404 in³.

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Select ALL the correct answers. Consider the following graph of function f. Which transformations will change function f into function g given below. a vertical shift down 3 units a vertical shift down 5 units a vertical shift up 5 units a horizontal shift left 7 units a horizontal shift right 7 units a horizontal shift left 4 units

Answers

7 is the number that you need

(-1,-4) and (-201,-49)
Find the distance between the two points

Answers

Answer:

205 units

Step-by-step explanation:

The distance formula is D = √(x2-x1)^2 + (y2-y1)^2

Lets say -1 is x1 ; -4 is y1; -201 is x2 ; and -49 is y2

we just need to plug it into the formula and solve now

√ (-201 - -1)^2 + (-49 - -4)

√-200^2 + -45^2

√40000 + 2025

√42025 = 205

The distance between the two points is 205 units.

Which of the following describes the polynomial function?

Answers

Your image is cropped, so I can’t see the options to choose from but this would work too:

=> (x-2)(x-5)(x-7)
=> (x^2 -5x -2x +10)(x-7)
=> (x^2 -7x +10)(x-7)
=> (x^3 -21x^2 +10x -7x^2 + 49x -70)

=> x^3 -28x^2 + 59x -70

The following is true:

* the polynomial has a positive leading coefficient.

* the polynomial has a domain of x = (-oo, oo)


factor the following (in picture)

got really sick and missed a bunch of school, would really appreciate the help !

Answers

Step-by-step explanation:

I hope this will help you

please help asap 100 points

Answers

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2:  Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it.  Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder.  However, before doing that we need to determine the radius of the circle from the diameter that was given.

Divide the diameter by two to get the radius

[tex]Radius = \frac{Diameter}{2}[/tex][tex]Radius = \frac{5.2\ yd}{2}[/tex][tex]Radius = 2.6\ yd[/tex]

Plug in the values

[tex]V_{cylinder} = (\pi * radius^2)*height[/tex][tex]V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd[/tex]

Simplify the exponent

[tex]V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd[/tex][tex]V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd[/tex]

Simplify the expression

[tex]V_{cylinder} = (21.237\ yd^2)*7.8\ yd[/tex][tex]V_{cylinder} = 165.65\ yd^3[/tex]

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question.  In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of.  We need to use the Secant-Secant Power Theorem to help determine our solution.

Make an expression to represent the scenario

[tex]32(x + 32) = 28(20 + 28)[/tex]

We know have an expression which we can now simplify and get the value of the unknown easily.  The first step would be to distribute the 32 and 28.

Distribute both sides

[tex]32(x + 32) = 28(20 + 28)[/tex][tex](32 * x) + (32 * 32) = (28 * 20) + (28 * 28)[/tex][tex]32x + 1024 = 560 + 784[/tex]

Simplify the expression

[tex]32x + 1024 = 1344[/tex]

We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.

Subtract 1024 from both sides

[tex]32x + 1024 - 1024 = 1344 - 1024[/tex][tex]32x = 1344 - 1024[/tex][tex]32x = 320[/tex]

The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

Divide both sides by 32

[tex]\frac{32x}{32} = \frac{320}{32}[/tex][tex]x = \frac{320}{32}[/tex][tex]x = 10[/tex]

After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

Which choice is equivalent to the expression below?
√-27
OA. -3√3
OB. 3143
O C. -√√27
OD. -3√√37
OE. 3√3

Answers

E

√ -27
apply radical rule- √-a - √ -1 √ a

√ -27- √ -1 √ 27
- √-1 √ 27
i √ 27
3√ 3

The equivalent expression for the given expression is 3i√3.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is √-27

= i√27

= i√(9×3)

= 3i√3

Therefore, the equivalent expression for the given expression is 3i√3.

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Find the side of an equialateral triangle if it's area is 9√3 cm2​

Answers

Step-by-step explanation:

We know that the area of an equilateral triangle of side a cm is

[tex] \rm \: Equilateral \: Triangle = \cfrac{ \sqrt{3} }{4} {a}^{2} \: cm[/tex]

Let a cm here be 9√3 then we could get our solution.

[tex] \rm\implies \rm 9 \sqrt{3} = \cfrac{ \sqrt{3} }{4} \: a {}^{2} [/tex]

[tex] \implies \rm \: \cfrac{ \sqrt{3} }{4} {a}^{2} = 9 \sqrt{3} [/tex]

[tex] \implies \rm \: a {}^{2} = 36[/tex]

[tex] \implies \rm \: a = \sqrt{36} = \sqrt{6 \times 6} [/tex]

[tex] \implies \rm \: a = 6 \: cm[/tex]

Thus, the side of the equilateral triangle is 6 cm.

y = 2(6 + 1) + 5(3 + 2)

Answers

Step-by-step explanation:

According to PEMDAS parentheses are first.

2(6+1) can be simplified to 12+2.

5(3+2) can be simplified to 15+10

Add these two together.

12+2+15+10

14+15+10

29+10

y=39

Note - when you have something like this in math 2(6+1) it means you need to do 2 x 6 and 2 x 1

MANY POINTS! PLEASE HELP

Answers

Answer:

B.  51.7699^2

Step-by-step explanation:

Last 2 wrong because it is positive.

101.... is not the definite integral for the curve

51... purrfecto

Answer and explanation please

Answers

Step-by-step explanation:

So, let the N=10a+b

N=10a+b,P(N)=ab,S(N)=a+b

10a+b=ab+a+b

9a-ab=0

a(9-b)=0

a=0 and 9-b=0, b=9. the number is 9. but 9 is not two-digit number. So there is no N which satisfied previous conditions.

only answer if you know! no spams :)

Answers

find the circumference of an object. use 3.14 or 22/7 for pi. round to the nearest hundredth if necessary. 9 cm

Jen wants to save money for the future. Jen invests $1,100 in an account that pays interest rate of 4%.
How many years will it take for the account to reach $2,900? Round your answer to the nearest hundredth.

Answers

The number of years it will take for the money to be $2900 is 40.91 years

How to find the years the money will accrue to 2900 dollars?

Using simple interest formula,

I = prt / 100

we are looking for t

where

p = principalr = ratet = timeI = simple interest

Therefore,

I = 2900 - 1100 = 1800

1800 = 1100 × 4 × t / 100

cross multiply

180000 = 4400t

t = 180000 / 4400

t = 40.9090909091

t = 40.91 years

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what is the effect of the “-“ when y= (x+3)^ is changed to y=-(x+3)^?

Answers

Answer + Step-by-step explanation:

The effect of the “-“ when y = (x+3) is changed to y = -(x+3) is creating a negative slope and y-intercept,

y = -(x+3) distributed is y = -x - 3

Visual representation:

The red line: y = (x+3)

The blue line: y = -(x+3)

what is it pls help? multiple choice

Answers

Answer:

around 904.78

Step-by-step explanation:

i got 904.78 but i cant read the answers properly so choose the closest one

Determine the value of x using a trigonometric
ratio. Image below with answers.

Answers

This is an identity used to determine the measure of sides and angles of a triangles. The value of x from the given diagram is 7.18 units

Trigonometry identity

This is an identity used to determine the measure of sides and angles of a triangles

From the given triangle

Opposite =  5.5

Hypotenuse = x

According to the theorem

sin 50 = 5.5/H

x = 5.5/sin50

x = 7.18units

Hence the value of x from the given diagram is 7.18 units

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(07.03 MC)

Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below:


Color of
Marble Number of
Times Rolled
Blue
18
Green
20
Yellow
12


Heads Tails
20 30


Using Victoria's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
48 over 50
38 over 50
540 over 2500
360 over 2500

Answers

The probability of pulling a blue marble and the coin landing tails up is 360/2500

How to determine the probability?

The tables of values are given as:

Color     Times

Blue        18

Green     20

Yellow    12

Heads    Tails

20          30

The probability of obtaining a blue marble is:

P(Blue) = 18/50

The probability of landing tails up is:

P(Tail) = 20/50

The required probability is:

P = P(Blue) * P(Tail)

This gives

P = 18/50 * 20/50

Evaluate the product

P = 360/2500

Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500

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The radius of a semicircle is 5 centimetres. What is the semicircle's diameter?

Answers

The diameter [tex]d = 2r[/tex], where [tex]r[/tex] is the radius. Thus, [tex]d = 2 \times r = 2 \times 5 = 10cm[/tex]

Multiply:
(x+y)by (x+y)
a+b by a^2-b^2
(a+5) by (a^2-2a-3)
(a^2-ab+b^3) by (a+b)​

Answers

Answer:

Multiply:

[tex](x+y)by (x+y)[/tex]

[tex] : \implies(x + y)(x + y)[/tex]

[tex] : \implies \: x(x + y) + y(x + y)[/tex]

[tex] : \implies {x}^{2} + xy + xy + {y}^{2} [/tex]

[tex] : \implies{x}^{2} + 2xy + {y}^{2} [/tex]

Multiply:

[tex]a+b \: by \: a^2-b^2[/tex]

[tex]: \implies( {a}^{2} + {b}^{2} ) \times (a + b)[/tex]

[tex]: \implies \: {a}^{2} (a + b) - {b}^{2} (a + b)[/tex]

[tex]: \implies \: {a}^{3} + {a}^{2} b - {ab}^{2} - {b}^{3} [/tex]

Multiply:

[tex](a+5) by (a^2-2a-3)[/tex]

[tex]: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }[/tex]

[tex]: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)[/tex]

[tex]: \implies(a \times {a}^{2} - a \times 2a - a \times 3) + (5 \times {a}^{2} - 5 \times 2a - 5 \times 3)[/tex]

[tex]: \implies{a}^{3} - {2a}^{2} - 3a + 5 {a}^{2} - 10a - 15 [/tex]

[tex]: \implies{ {a}^{3} + {3a}^{2} - 13a - 15}[/tex]

Multiply:

[tex](a^2-ab+b^3) by (a+b)[/tex]

[tex]: \implies{(a + b) \times ( {a}^{2} - ab + {b}^{3} )}[/tex]

[tex]: \implies \: a( {a}^{2} - ab + {b}^{3}) + b( {a}^{2} - ab + {b}^{3} ) [/tex]

[tex]: \implies {a}^{3} - {a}^{2} b + a {b}^{3} + {a^2b} - {ab}^{2} + {b}^{4} [/tex]

[tex]: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4} }[/tex]

Step-by-step explanation:

[tex] \blue{ \frak{Seolle_{aph.rodite}}}[/tex]

Calculate the distance between the points H=(4,-8) and C=(9,-4) in the coordinate plane.

Answers

Answer:

[tex]find the functions whose derivative is 0[/tex]

William is drafting his fantasy basketball team. He needs to select one player for each position. The following table shows how many players are available for each position.
Position Number of players
Point guard 10
Shooting guard 12
Small forward 7
Power forward 2
Center 9
pls pls pls help!! thanks soooo much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 15120

Step-by-step explanation:

Given: The number of players at point guard = 10

The number of players at shooting guard = 12

The number of players at small forward = 7

The number of players at power forward = 2

The number of players at center = 9

Then, the number of different teams William could draft is given by :-

10∗12∗7∗2∗9=15120

Hence, William could draft 15120 different teams.

17
24
12
X
What is the value of x?

Answers

Answer: 8.5

Step-by-step explanation:

By the intersecting chords theorem,

[tex]17(12)=24x\\204=24x\\x=\boxed{8.5}[/tex]

Which is a conditional statement for the sentence?

For all real numbers a, b, and c, a = b implies that a−c=b−c.


A.If a, b, and c are real numbers, then a = b.


B.For all real numbers a, b, and c, if a−c=b−c, then a = b.


C.For all real numbers a, b, and c, if a = b, then a−c=b−c.


D.If a, b, and c are real numbers, then a−c=b−c.

Answers

The conditional proposition for the given sentence is:

"For all real numbers a, b, and c, if a = b, then a−c=b−c."

Which one is a conditional statement?

A conditional statement is of the form:

If P, then Q.

Where P and Q are two propositions.

The sentence is:

"For all real numbers a, b, and c, a = b implies that a−c=b−c."

So the propositions are:

P = "a = b"

Q = " a - c = b - c"

Where we need to define that this works for all real numbers.

So the conditional proposition is:

"For all real numbers a, b, and c, if a = b, then a−c=b−c."

So the correct option is C.

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Cost of Bikes ($) at Bike Shop
312, 352, 480, 392, 368, 352, 416, 640
a. mean
The mean is?

Answers

Answer:

414

Step-by-step explanation:

312+352+480+392+368+352+416+640 divided by 8 = 414

Answer: its 414

Explanation: So to figure out the mean you add up all the numbers together and then you divide by how many numbers there are like for this equation 312+352+480+392+368+352+416+640 = 3312 then you divide by eight because there’s eight numbers that you added together and 3312÷ 8 is 414

Let a and ß be first quadrant angles with cos(a)=
√11/7
and sin(B)=
√11/4
Find cos(a+B)

Answers

Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,

sin²(x) + cos²(x) = 1

we always take the positive square root when solving for either sin(x) or cos(x).

Given that cos(α) = √11/7 and sin(β) = √11/4, we find

sin(α) = √(1 - cos²(α)) = √38/7

cos(β) = √(1 - sin²(β)) = √5/4

Now, recall the sum identity for cosine,

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

It follows that

cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28

Ver en español
Martha recorded the eye colors of the people who have already signed up for a lecture on genetics.
gray 1
brown 10
hazel 1
green 1
blue 7
Considering this data, how many of the next 16 people to sign up should you expect to be brown-eyed?

Answers

Answer:

8

Step-by-step explanation:

since martha counted 10/20 had brown eyes thats about 50 percent, simple ratios 10/20= ×/16 you get 8

martha conto 10 de 20 personas con ojos cafes, eso quiere decir que 50 por ciento de los contados tenien ojos cafès, 50 porciento de 16 es 8

Living on less than what you make means not

Answers

Answer:

living beyond your means.

Step-by-step explanation:

Pay for what you need and don't go into debt.

set questions need immediate help​

Answers

60-35%=25%50-35%=15%25%=Math35%=(mns)15%=science

What is the sum of the first 40 positive odd integers?

Answers

Answer:

1600

Step-by-step explanation:

[tex]\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600[/tex]

In triangle ABC, AP is an angle bisector of angle BAC. What is the length of PC? Round you answer to the nearest whole number.
A) 6 B) 7 C) 8 D) 9

Answers

Answer:

D) 9

Step-by-step explanation:

x = ½ × 13 = 6.5

y = ½ × 5 = 2.5

6.5 + 2.5 = 9

So the length of PC is 9

HOPE THIS HELPS AND HAVE A NICE DAY <3

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