Mathematics College

In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF .

Prove ΔABC ≅ ΔGFE. (10 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

Statements Reasons

1). ∠DCE ≅ ∠DEC 1). Given

2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the

congruent angles.

3). ∠B ≅ ∠F 3). Given

4). DB ≅ DF 4). Given

5). DC + CB ≅ DE + EF 5). Segment addition postulate

6). DC ≅ DE 6). Property of isosceles triangle

7). CB ≅ EF 7). Transitive property

8). ΔABC ≅ ΔGFE 8). ASA property of congruence

Related Questions

Which of the following is a description of the data with a correlation coefficient of 0.1?

Answers

The answer is a............

7.Which equation is a quadratic model for the data set?
A) y=1.1556x^1.9375
B) y=11.6018*1.2207^x
C) y=20.9330x-93.8918
D) y=1.2246x^2-5.0511x+24.288-

Answers

C is the correct answer

The quadratic model for the data set is y = 1.2246x² - 5.0511x + 24.288

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic etc.

The standard form of polynomial (of degree 2) is:

y = ax² + bx + c

The quadratic model for the data set is y = 1.2246x² - 5.0511x + 24.288

Find out more on polynomial at: brainly.com/question/2833285

Help now fast please

Answers

Answer:

3/4 or .75

Step-by-step explanation:

slope = dy/dx

dy = 1 - -2 = 3

dx = 2 - -2 = 4

slope = 3/4

Step-by-step explanation:

(1+2)/(2+2)= 3/4 is the slope

the arithmetic mean of a data set is the measure of center ______. (PHOTO INCLUDED)

Answers

Answer:

Option A is correct option.

Step-by-step explanation:

We need to fill in the blank:

the arithmetic mean of a data set is the measure of center ______

Arithmetic mean is calculating average of data i.e adding all the value divided by total number of values.

So, Option A is correct option.

2,4000,000 in standard form

Answers

Answer:

24 million

Step-by-step explanation:

24,000,000 if you put it porperly

The units are, Unit, Tens, Hundreds, Thousand, Ten-Thousand, Hundred-Thousand, Million, Ten million, Hundred million Billion and so on

Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 3 (y2 + 2)3/2, 3 ≤ y ≤ 4

Answers

Answer:

21π/2

Step-by-step explanation:

94.55π is the area of the required surface.

What is the exact area of a surface obtained by rotating the curve y=f(x), [tex]x_1\leq x\leq x_2[/tex] about the x-axis?

[tex]S=\int\limits^{x_1}_{x_2} {2\pi f(x)\sqrt{1+f'(x)^2} \, dx[/tex]

is the exact area of a surface obtained by rotating the curve y=f(x), [tex]x_1\leq x\leq x_2[/tex] about the x-axis

How to solve the problem?

Given,

[tex]x=\frac{1}{3}(y^2+2)^{\frac{3}{2}}[/tex]

[tex]\implies (3x)^\frac{2}{3}=y^2+2\\\implies y^2=(3x)^\frac{2}{3}-2[/tex]

[tex]\implies y=\sqrt{(3x)^\frac{2}{3}-2}[/tex]

Let

[tex]y=\sqrt{(3x)^\frac{2}{3}-2}=f(x)[/tex]

Now, the range of y is given 3≤y≤4

hence, the range of x is [tex](\frac{1}{3}(3^2+2)^{\frac{3}{2}}[/tex],[tex]\frac{1}{3}(4^2+2)^{\frac{3}{2}})[/tex]=(12.16,25.46).

So, [tex]S=\int\limits^{25.46}_{12.16} {2\pi f(x)\sqrt{1+f'(x)^2} dx\\\\=[\frac{\pi}{2}(3x)^{\frac{4}{3}}-\pi (3x)^{\frac{2}{3}}]^{25.46}_{12.16}\\=101.63\pi - 6.99 \pi \\= 94.55 \pi[/tex]

is the area of the required surface.

Hence, 94.55π is the area of the required surface.

Learn more about the area of surface- brainly.com/question/24126051

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The numbers 1 to 13 are written on 13 separate slips of paper and placed into a box. A slip of paper is randomly drawn from the box. Express probabilities as reduced fractions and as decimals rounded to 3 decimal places. 1. a. What is the probability that the slip of paper has an odd number on it? 1. b. What is the probability that the slip of paper has a number less than 4 on it? Theoretical probability can be used to predict the likelihood of an event. If a single, 6-sided die is rolled there are six possible outcomes. That is, after rolling the die, the side facing up will show one of six possibilities: 1, 2, 3, 4, 5, or 6. The theoretical probability that the die would land with a "2" on the side facing up is P = 1/6 = 0.167 because one out of the 6 possibilities is a "2." MGF2106 Project 2B; SP2020 5 2. Two experiments are conducted in which a single 6-sided die is rolled 20 and 80 times. The outcomes of the experiments are shown below. For each result calculate the experi

Answers

Answer: 1a. 0.538

1b. 0.231

Step-by-step explanation:

For Section A.

Given data:

Numbers to be drawn = 1 to 13

Odd numbers = 7

Even numbers = 6

1a. Probability of drawing an odd number

= 7/13

= 0.538

1b. Probability of drawing a number less than 4.

= 3/13

= 0.231

Section B.

You need to provide me with the table containing the data, for me to be able to assist you with it.

Arden has 15 cards and 3 of those cards are red. What percent of her cards are red? *

Answers

Answer: 20%

Step-by-step explanation: 3/15 = 1/5 = .20 = 20%

Solve for x in angle bisector please

Answers

Answer:

x = 15

Step-by-step explanation:

Since, BX is the bisector of [tex] \angle BAC[/tex]

[tex]\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\

\therefore 24= \frac {1}{2}\times (4x - 12)\\\\

\therefore 24= \frac {1}{2}\times 2(2x - 6)\\\\

\therefore 24= (2x - 6)\\\\

\therefore 24 = 2x - 6 \\ \\

\therefore 24 +6 = 2x\\\\

\therefore 30 = 2x \\\\

\therefore x = \frac{30}{2} \\\\

\therefore x = 15

[/tex]

Assume that there are two pairs of congruent triangles in the diagram
AROB = APTA
O True
O False

Answers

False Happy Thanksgiving :)

help???
anyone?
thank you

Answers

Answer:

$285.12

Step-by-step explanation:

Start by finding the discount price

$480 * 0.45 = 216

Now subtract

$480 - 216 = 264

Then you will need to find the sales tax

264 * 0.08 = 21.12

now add

21.12 + 264 = 285.12

$264.00

45% off means that the new price of the desk will be 55% of the original price.

$480.00(100-45) = $480.00(55)

Converting the percent to a decimal gives:

$480.00(0.55)

Your Answer:

$264

8 The fourth grade had 363 students. Over winter break, 94 students moved away, but
26 new students moved in.
а
How
many students are now in fourth grade Show your work.
There are now
students in fourth grade

Answers

Answer:

the answer is 295 students

Answer:

363-94+26 = 295 students

PLEASE HELP (ASSIGNMENT DUE IN 20 MINUTES)

Answers

Answer:

11 widgets

Step-by-step explanation:

544.50/4.5 = 121

square root 121 = 11

ｈｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉ

Answers

React to my music video on yt east coast Junkie dasgasom3

True or false that integers can be negative numbers

Answers

Answer:

true

Step-by-step explanation:

can someone please help me with this

Answers

Answer:

10.) y=-3x+5

11.) y= -1/2 x+2

Step-by-step explanation:

step by step attchaed below

What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that do begin with the letter "T"? (1 point)

Answers

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

Using the frequency table below, what is the
probability of selecting a boy and a person who
bought 10 up to 20 lunches?

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

P(Boy and 10-20 lunches)

[tex]=\frac{20}{10+20+30+5+25+30}\\=\frac{20}{120}\\=\frac{1}{6}[/tex]

The answer to this problem is 1/6.

3) g(x) = 4x
h(x) = -3x^2 + 4
Find (g + h)(x)

Answers

Answer:

The answer is the last line below.

Step-by-step explanation:

g(x) = 4x

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

(g + h)(x) = 4x - 3x^2 + 4

Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?

x² + x + 1 + 1 2 3
x2-x+1
x2+x+1+2
x3 - x2 + x

Answers

Synthetic division yields

1 | 1 0 0 1

. | 1 1 1

= = = = = = = = = =

. | 1 1 1 2

which translates to

(x³ + 1) / (x - 1) = x² + x + 1 + 2/(x - 1)

where the quotient is x² + x + 1.

andy is scuba diving he starts at sea level and then descends 10 feet in 2 1/2 minutes. how would you represent andy’s descent as a unit rate? express your answer as an integer

Answers

Answer:

4 feet/minute

explanation:

The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

Which problem has a sum or difference of 7/12 ? Mark all that apply.

A. 3/4 + 1/6

B. 3/4 - 1/6

C. 1/3 + 1/4

D. 1/4 + 1/6 + 1/12

E. 2/3 - 1/12

F. 2/3 + 1/6

will mark you brainliest

Answers

Answer:

a and b

Step-by-step explanation:

TJ-Maxx offered a 40% discount off the original
price of a head board. The amount of the discount
is $14. What is the regular price of the head
board?

HELP THIS IS IMPORTANT!!!!!!!!!

Answers

$23.34 - 40% will make it $14

PLEAS HELP ME I WILL GIVE YOU FREE ROBUX PLEASE HELP ME ON THIS ANSWER

Question:Name each polygon by its number of sides and then classify it as CONVEX or CONCAVE and REGULAR or IRREGULAR

Answers

Answer:

1.Nonagon-convex, regular

2.Quadrilateral-convex, irregular

3.Hexagon-concave, irregular

Answer:

1.-Nonagon-convex, regular

2.-Quadrilateral-convex, irregular

3.-Hexagon-concave, irregular

what is the area of a rectangular garden that is 60 feet by 20 feet

Answers

Area = length * width

A = 60 * 20

A = 120 square feet

Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).

Answers

Answer:

[tex](4, -3 )[/tex]

General Formulas and Concepts:

Pre-Algebra I

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

R (9, 3)

S (-1, -9)

Step 2: Find midpoint

Substitute: [tex](\frac{9-1}{2}, \frac{3-9}{2} )[/tex]Subtract: [tex](\frac{8}{2}, \frac{-6}{2} )[/tex]Divide: [tex](4, -3 )[/tex]

what is the value of x in the proportion 2 1/4/x = 1 1/2/3 3/5?
(A) 2 2/5
(B) 5 2/5
(C) 8 1/10
(D) 12 3/20

Answers

Answer:

its d bc it is so yeah suck a toe hehehehehehehhehehehehehehehehhehehehehehehehehhehehehehhehehehehhehehehehehehehehehhehhehehehhhehehehehhehhehehehe

Answer: I’m pretty sure ur answer would be B) 5 2/5

Step-by-step explanation: good luck ! <3

Find the zeros of each function. Part 3. Please show work.

1. f(x)= x^4 - x^3 - x^2 - x - 2
2. f(x)= x^3 - 8x^2 + 19x - 12

Answers

9514 1404 393

Answer:

real: -1, 2; complex: +i, -i1, 3, 4

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

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

The roots are -1, 2, -i, +i.

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

(x -3)(x -4) . . . zeros of 3 and 4

I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.

9514 1404 393

Answer:

real: -1, 2; complex: +i, -i

1, 3, 4

Step-by-step explanation:

The linear factorization is ...

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

The roots are -1, 2, -i, +i.

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

(x -3)(x -4) . . . zeros of 3 and 4

__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).

How many terms are in the expression, 4x + 5y + 15?

Answers

Answer:

There are 3 terms.

1) Greaters sold 30 milkshakes last week. 20%. of the milkshakes had whipped cream on them. How many shakes had whipped cream? Answer: I

Answers

Answer:

plz vote me brainliest

Step-by-step explanation:

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In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF . Prove ΔABC ≅ ΔGFE. (10 points)

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In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection between segment AG and segment BD while point E is the point of intersection between segment AG and segment DF .

Prove ΔABC ≅ ΔGFE. (10 points)