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:
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
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.
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
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
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.
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.
Which of the following is a description of the data with a correlation coefficient of 0.1?
Answers
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
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:
How many terms are in the expression, 4x + 5y + 15?
Answers
Answer:
There are 3 terms.
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
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: BPEMDASAlgebra 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]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.
True or false that integers can be negative numbers
Answers
Answer:
true
Step-by-step explanation:
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
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.
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]
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
#SPJ2
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
ｈｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉｉ
Answers
Assume that there are two pairs of congruent triangles in the diagram
AROB = APTA
O True
O False
Answers
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
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
PLEASE HELP (ASSIGNMENT DUE IN 20 MINUTES)
Answers
Answer:
11 widgets
Step-by-step explanation:
544.50/4.5 = 121
square root 121 = 11
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
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
what is the area of a rectangular garden that is 60 feet by 20 feet
Answers
A = 60 * 20
A = 120 square feet
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:
6
plz vote me brainliest
Step-by-step explanation:
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%
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, 4Step-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:
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
__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).
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
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