Mathematics High School

Suppose △ABC≅△EFG. Which congruency statement is true? AB¯¯¯¯¯≅FG¯¯¯¯¯ BC¯¯¯¯¯≅FG¯¯¯¯¯ AC¯¯¯¯¯≅EF¯¯¯¯¯ AB¯¯¯¯¯≅EG¯¯¯¯¯

Answers

Answer 1

A = E

B = F

C = G

Look for the equation which has the same placement. Your answer should be B) BC=FG

Answer 2

Answer: Second option [tex]BC\cong FG[/tex] is the correct option.

Explanation:

If two triangles are congruent then their corresponding sides are congruent.

In [tex]\triangle ABC[/tex] and [tex]\triangle EFG[/tex], AB, BC, and CA are corresponding to EF, FG and GE respectively.

Therefore, if [tex]\triangle ABC\cong \triangle EFG[/tex] then,

[tex]AB\cong EF[/tex],

[tex]BC\cong FG[/tex],

And, [tex]CA\cong GE[/tex]

Therefore, only second option is correct.

Related Questions

what is the midpoint coordinates of segment HX H(13,8) X(-6,-6)

Answers

midpoint of (x1,y1) and (x2,y2) is

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

so the midpoint of HX is the mdpoint of (13,8) and (-6,-6)
which is

[tex](\frac{13-6}{2},\frac{8-6}{2}=[/tex]
[tex](\frac{7}{2},\frac{2}{2}=[/tex]
[tex](3.5,1)[/tex]

the midpoint is (3.5,1)

Solve for c.

a(c + b)=d

Just show how I would need to move the equation to solve for c :)

Answers

First, divide by a to get c + b = d/a. Next, subtract the b to get c = d/a - b.

Optional:

c = d/a - ba/a = (d-ba)/a

Examine the work shown. Explain the error and find the correct result.

2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54

Answers

The product of two numbers with different signs is negative, so 2(-12) = -24, not 24. Then -24 — (-30) = -24 + 30 = 6.

The error is in third step where 2(–12) is -24 and not 24 thus the correct result is 6.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

2(4 – 16) – (–30)

solving the bracket,

2(–12) – (–30)

expanding the bracket we get,

-24 – (–30)

this is the error in the given work where 2(–12)– (–30) = 24– (–30)

Thus open the bracket,

-24 + 30

solving we get,

which is the correct answer.

Thus, the error is in third step where 2(–12) is -24 and not 24 thus the correct result is 6.

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Evaluate. 62+(3⋅4)−24 Enter your answer in the box. plz help mehh someone out there ty

Answers

First we make multiplications in brackets 62 + 12-24
74-24=50

The value of expression 62+(3⋅4)−24 is 50

What is PEMDAS ?

A rule of operations explains the correct order in which math expressions should be evaluated, and we can remember those steps using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Here, the expression is given as 62+(3⋅4)−24 now using PEMDAS rule to solve this expression first by solving under bracket terms 3x4 = 12 and then adding 62 and 12, then subtract it by 24 to get the final answer.

62+(3⋅4)−24

62 + 12 -24

74 - 24

Therefore, the value of expression 62+(3⋅4)−24 is 50

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Wastewater is filling barrels at the rate 7 quarts per hour.The recycling facility picks up 25 full barrels each trip, and each barrel hold 48 quarts of wastewater. How many days are between each pickup

Answers

25 *48 = 1200 total quarts

1200/7 = 171.43 hours

171.42/24 = 7.14 days

so every 7 days

solve for the 20 points

Answers

1.4t - 0.4t + 1.24 = 5.8
t + 1.24 = 5.8
t + 1.24 (-1.24) = 5.8 (-1.24)
t = 4.56

hope this helps

Answer:

t=4.56

Step-by-step explanation:

t+1.24=5.8

t=4.56

Is this answer correct? If not what is the correct answer

Answers

Hello,

Let 's assume AD=x,DC=6-x.
Using angle nisector theorem:
AD/DC=AB/AC
==> x/(6-x)=8/10
==>10x=48-8x
==>18x=48
==>x=48/18
==>x=24/9=2+2/3 (2.666666666.....)
Answer is false, the correct answer is 2 2/3

Answer:

Step-by-step explanation:

please answer all questions thank you.

Answers

1) 78.5/pi = 25
radius = 5
The one 5 digits away from that coordinate is (2,-1)

2) This question is area, not perimeter. The width and length has to be added by 4 because of 2 feet on both sides.
9*10 = 90 - 30 = 60

3) 25pi according to pythagorean theorem.

Find the common ratio for the following sequence 9,6,4

Answers

It is a geometric sequence and common ratio is −23.

The common ratio for the sequence is 2/3

Finding the common ratio for the sequence

From the question, we have the following parameters that can be used in our computation:

Sequence: 9,6,4

The common ratio for the sequence is calculated using

Ratio = T2/T1

substitute the known values in the above equation, so, we have the following representation

Ratio = 6/9

Evaluate

Ratio = 2/3

Hence, the common ratio is 2/3

Answers

Parallel lines have the same slope, so if we find the slope of the line shown, the slope of the line parallel to it will be the same.

To find the slope, we find the rise divided by the run, or the change in x values divided by the change in y values.

slope = m = (y1 - y2)/(x1 - x2) = (3-2)/(0-3) = 1/(-3) = -1/3

Therefore, the slope is -1/3, and so the slope of the parallel line is also -1/3.

Your answer is -1/3.

Hope this helps!

What unit of measure would you use to measure length of piece of paper?

Answers

Typically, you would use inches.

How Do I Solve Question 8 ?

Answers

8)

[tex]\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(x,y)\qquad C(12,5)\qquad \qquad AB:BC\qquad 3:4\to \frac{3}{4} \\\\\\ \cfrac{AB}{BC} = \cfrac{3}{4}\implies \cfrac{A}{C}=\cfrac{3}{4}\implies 4A=3C\implies 4(x,y)=3(12,5) \\\\\\ -------------------------------\\\\ { B=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}\\\\ -------------------------------\\\\[/tex]

[tex]\bf B=\left(\cfrac{(4\cdot x)+(3\cdot 12)}{3+4}\quad ,\quad \cfrac{(4\cdot y)+(3\cdot 5)}{3+4}\right)=\stackrel{B}{(4,1)} \\\\\\ \left(\cfrac{4x+36}{7}~,~\cfrac{4y+15}{7} \right)=(4,1)\implies \begin{cases} \cfrac{4x+36}{7}=4\\\\ 4x+36=28\\ 4x=-8\\ \boxed{x=-2}\\ ----------\\ \cfrac{4y+15}{7}=1\\\\ 4y+15=7\\ 4y=-8\\ \boxed{y=-2} \end{cases}[/tex]

I need help please!!!! Jon buys t shirts online for his friends. the table below shows the cost including the shipping fee. write a verbal description that describes the relationship

Answers

A t-shirt costs $12 per t-shirt plus $3 shipping. Write the equation that describes the total cost c for the number of t-shirts purchase t.

so equation
c = 3 + 12t

if t = 1 then c(cost) = 3 + 12(1) = 3 + 12 = 15
if t = 2 then c(cost) = 3 + 12(2) = 3 + 24 = 27
if t = 3 then c(cost) = 3 + 12(3) = 3 + 36 = 39
if t = 4 then c(cost) = 3 + 12(4) = 3 + 48 = 51

Translate into a numerical expression

The product of fifteen and negative three decreased by twelve.
The sum of three cubed and four.

Answers

(15*-3)-12
3(with another mini three)+4=?

After translating words to numerical form, it is equal to 135.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the value provided in the question,

Product of 15 and another number.

Another number is negative 3 decreased by 12 which means that (12 - 3) = 9

Product in numeric form = 15 × 9 = 135

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Find the value of the variable and YZ if Y is between X and Z. XY= 11, YZ=4c, XZ=83

Answers

Answer: The required value of the variable c is 18 and that of YZ is 72.

Step-by-step explanation: Given that Y is in between X and Z, where

XY= 11, YZ=4c and XZ=83.

We are to find the value of the variable c and YZ.

Since the point Y is in between X and Z, so we must have

[tex]XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.[/tex]

And,

[tex]YZ=4c=4\times 18=72.[/tex]

Thus, the required value of the variable c is 18 and that of YZ is 72.

Final answer:

The given problem is a segment addition problem in geometry. It can be solved by creating an equation based on the Segment Addition Postulate, simplifying and solving it to find the value of the variable c equal to 18. Substituting this value into the equation for YZ gives a result of 72.

Explanation:

The subject of this question is a segment addition problem in geometry. From the given values, we can create an equation based on the Segment Addition Postulate, which states that the length of the whole line segment (XZ in this case) is equal to the sum of the lengths of the two segments it is split into (XY and YZ in this context).

With XZ = 83, XY = 11, and YZ = 4c, the equation becomes XY + YZ = XZ, or 11 + 4c = 83. To solve for the value of the variable c, subtract 11 from both sides, giving 4c = 72. Finally, divide each side by 4 to find that c = 18.

To find the value of YZ, substitute c = 18 back into the YZ equation: YZ = 4c = 4*18 = 72.

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You have 12 product displays. Six have 4 shelves and six have 3 shelves. It is store policy to dedicate at least one full shelf to each product. What is the maximum number of products you can have?

Answers

The answer to this question is 42

Answer: There are 42 products he can have at maximum.

Step-by-step explanation:

Since we have given that

Number of products displays = 12

Number of shelves six products have = 4

Number of shelves six products have = 3

So, total number of shelves first six products have

[tex]6\times 4=24[/tex]

Total number of shelves next six products have

[tex]6\times 3\\\\=18[/tex]

So, the maximum number of products that he can have is given by

[tex]24+18=42[/tex]

Hence, there are 42 products he can have at maximum.

The width of a rectangle is 8 inches more than the length. The perimeter is 60. Find the length and width of the rectangle.

Answers

The length is 19 in and the width is 11in

If 3.485 ÷ 5.1 is written in long division form as so that the divisor is written as a whole number, where should the decimal point be placed in the dividend

Answers

it is 3.485 in the inside and 5.1 at the outside but the answer is 0.68333333333

I need help 2/3 - 4/10

Answers

Finding a common denominator, we have 3*10=30. Therefore, we multiply 2/3 by 10/10 (we can do this using the identity property of multiplication) and 4/10 by 3/3 to get 20/30-12/30=8/30=4/15 (by dividing 8 and 30 by 2)

For every 4 miles vanessa jogged cody jogged 3 miles if vanessa jogged 1 miles how far did cody have jogged

Answers

divide 3 by 4 = 3/4 = 0.75

so Cody jogs 3/4 mile for every 1 mile Vanessa runs

Find the length of LM

Answers

Take 36,5x-29, and 2x-21 and add them. Then set them equal to 46+4x. Solve for x and you should get x=20. Now take this value and substitute it into the expression 2x-21 to find LM. Your answer should be 19.

What is the domain of 2x+5

Answers

The domain is "x", because that is what you input

hope this helps

The sum of two consecutive integers is 47. what is the product of these integers?

Answers

The two consecutive integers that sum up to 47 are 23 and 24, and their product is 552.

The question involves finding two consecutive integers whose sum is 47 and subsequently determining their product. To solve this, let's denote the smaller integer as n, which means the next consecutive integer will be n + 1. Since the sum is 47, we set up the equation n + (n + 1) = 47.

This simplifies to 2n + 1 = 47. To find the value of n, we subtract 1 from both sides to get 2n = 46, and then divide both sides by 2, yielding n = 23. Therefore, the two consecutive integers are 23 and 24. To find the product of these integers, we multiply them together: 23 imes 24 = 552.

Find the equation of the line in slope-intercept form that passes through (2, 7) and (-1, 5).

Answers

the answer is given above

Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold.

Which expression represents the total amount Tony earns from selling blankets?

12x

12

−450+12x

x

Answers

the answer is 12x Tony earns 12x

The answer is a.

12x

A quadrilateral has angles that measure 125°, 115°, and 65°.

What is the measure of the fourth angle?

Answers

the answer is 11 degrees

Hello! A quadrilateral has 4 angles that equal 360 degrees. You already have three that equal 125 degrees, 115 degrees, and 65 degrees. Those three angles when added up have a sum of 305 degrees. Then, you subtract that number from 360 to find your fourth angle. 360 - 305 = 55. The measurement of the fourth angles is 55 degrees.

what is the square root of 61 to the nearest integer?

Answers

The sqrt. of 61 to the nearest integer is 8!

answer:
8
work:
take the square roots around 61.
the square root of 8 is 64,
the square root of 7 is 49.
61 is closer to 64.
Integers cannot be fractions, so the answer of 7.8 is rounded up to 8!
hope this helps, have a great day!

PLEASE HELP!!
(x-7)^3 (x+2)^2 (x-13) <0

Answers

x^6<-348 is the answer

Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year

Answers

Mary will earn $1800 of interest each year

Answer:

Value of her investment after 2years is £12,362.7

Step-by-step explanation:

The question is incomplete, here is the complete question.

"Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after two years"

Using the relationship:

A = P(1+r/100)^n

Where P is the principal = amount invested = £12000

r is the compound interest = 1.5%

n is the time = 2years

A is the amount compounded after n years

A = 12000(1+1.5/100)²

A = 12000(1+0.015)²

A = 12000(1.015)²

A = 12000(1.03)

A = 12362.7

Value of her investment after 2years is £12,362.7

What is the domain when a function has an imaginary number?

Answers

The imaginary numbers are often presented on a real-imaginary graph where the imaginary numbers are on the vertical axis.

A function that has imaginary numbers would have a domain that consists a range of numbers on the horizontal axis. Since the horizontal axis represents real numbers, hence the domain of the function (providing there's no limitation) is all the numbers on the horizontal axis

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