Answers
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
Related Questions
Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2
Answers
Step-by-step explanation:
boy, that is hard to decipher ...
but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.
remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, going from N to M :
x changes by (2d - 2b) units.
y changes by 0 units (2c to 2c).
so, the slope of NM is 0/(2d - 2b) = 0.
going from K to L :
x changes by (2a - 0) = 2a units.
y changes by 0 units (0 to 0).
so, the slope of KL is 0/2a = 0.
R and S are the middle points between K and N, and between L and M.
R = ((2b+0)/2, (2c+0)/2) = (b, c)
S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)
so, going from R to S :
x changes by (d+a-b) units.
y changes by 0 units (c to c).
so, the slope of KL is 0/(d+a-b) = 0.
as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.
Hope I helped! Have a nice day! Really hope this helps k12 students!
Factorise 2x^2-9x-5 By Splitting The Middle Term.
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required expression is ~
[tex] \boxed{(2x + 1)(x - 5)}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]2 {x}^{2} - 9x - 5[/tex][tex]2 {x}^{2} - 10x + x - 5[/tex][tex]2x(x - 5) + 1(x - 5)[/tex][tex](2x + 1)(x - 5)[/tex]DIRECTIONS: Use this information to answer Parts A and B.
Home sold for $286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate agent, which was 6%.
Question 1
Part A
How much commission did the real estate agent earn on the sale?
Part B
How do you know your answer is reasonable?
Answers
Answer:
268,840
Step-by-step explanation:
286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160
Please help help and thank you
Answers
Answer:
The first option you have selected should be correct. if any doubt comment.
pre calc pls help me i really appreciate it
Answers
Answer:
[tex]a_{14} = 10496[/tex]
Step-by-step explanation:
A geometric sequence is of the form:
[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]
So the given values can be represent as:
[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]
So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.
[tex]a = \frac{-164}{r^{10}}[/tex]
Now replace [tex]a[/tex] in the first equation
[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]
For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.
[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]
After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.
[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]
any of these please i don't get this
Answers
Answer:
33. $5.75
34. 15 ft
35. 8
36. 32
Step-by-step explanation:
These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.
__
33.You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...
x = cost of a milk shakey = cost of a sundaeThe given relations have to do with the prices of different quantities of these:
2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes
4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes
These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).
2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)
4y = 23.00 . . . . . . simplify
y = 5.75 . . . . . . . . . divide both sides by 4
The cost of an ice cream sundae is $5.75.
We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.
__
34.There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.
Volume of a cone of radius r and height h: V = 1/3πr²h
Volume of a cylinder of radius r and height h: V = πr²h
It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.
The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.
V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³
V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit
400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000
x = 2000(3/400) = 15 . . . . multiply by 3/400
The height of the top portion is 15 feet.
__
35.This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.
We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.
The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:
|g(-6)| = |-8| = 8 = |g(a)|
__
36.This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.
Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...
96x²/(ax) = 3x
Multiplying by ax gives ...
96x² = 3ax²
Dividing by 3x², we see that ...
(96x²)/(3x²) = (3ax²)/(3x²)
96/3 = a = 32
The value of 'a' is 32.
There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold?
Answers
2/5 were sold, which mean 3/5 remain
3/5 of 75 is 45
Then, 1/3 of the REMAINING (45) houses were sold. Since 1/3 were sold, 2/3 remain of 45.
2/3 of 45 is 30
30 houses are left to be sold
FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)
Answers
4a(a - b) + 3b(b - a)
= 4a² - 4ab + 3b² - 3ab
= 4a² - 4ab - 3ab + 3b²
= 4a² - 7ab + 3b²
= (a - b) (4a - 3b)
________
Hope it helps ⚜
3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)
f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16
Answers
Answer: f(x) = (x −8)2
Step-by-step explanation:
If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?
Answers
Answer:
I think by mental math it would be 2.8 feet.
Step-by-step explanation:
at the mud factory, people's job is to scoop up mud and make it into kilogram blocks of mud. She loves her job today there were 2,913 milligams of mud trucked in. Each mud block is precisely 1 kilogram, no less no more. How many mud blocks can she make today
Answers
Answer: 0 bricks
Step-by-step explanation:
2,913 milligrams (mg) is only 2.913 grams. It takes 1,000 grams to make a kilogram. 2,913 mg is only 0.002913 kg.
This is because 2913 mg is equivalent to 2.913g
1 brick is 1000 g not 2.913
9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.
Answers
Answer:
you will half the recipe, so
50g flour
30g sugar
25g margarine
20g chocolate chips
1 egg
then add together. recipe for 15 cookies will be;
150g flour
90g sugar
75g margarine
60gr chocolate chips
3 eggs
Help please :)) This is timed as well as mind boggling
Answers
Answer: Choice C
==========================================================
Explanation:
Recall that the form
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
can be abbreviated to
[tex]z = r*\text{cis}(\theta)[/tex]
The "cis" stands for the first letters of "cosine i sine" in that order.
The original fairly messy quotient can be shortened down to
[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]
We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.
-------------------------------
Now we'll use this rule to divide two complex numbers
[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]
As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.
-------------------------------
Let's apply that idea to what your teacher gave you
[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]
That last step then converts directly to the expression shown in choice C.
Karen purchased the DVD player shown in the sign on the right. Find the percent markdown rounded to the nearest percent. (SALE! Was $175.90. now $153.77)
HELP ME PLZZZ
Answers
Answer:
probably 2.................
A hot air balloon is at an elevation of 425 feet. It descends 110 feet what is the elevation of the balloon?
Answers
Answer:
315
425 + -115 = 315 feet
Step-by-step explanation:
Answer:
The balloon will be at an elevation of 315 feet.
Step-by-step explanation:
425-110=315
50 points!! :D
not sure how to do this :/
Answers
Answer:
1
Step-by-step explanation:
x - 5 = -2( x + 1 )
=> x - 5 = -2x - 2
=> x + 2x = 5 - 2
=> 3x = 3
∴ x = 1
It t takes a snail 10 seconds to move 1 centimeter.
How many centimeters does said snail move after 2 seconds?
2.5?
Answers
answer is 0.2 using cross multiplication.
Answer:
in 2 seconds, the snail will only move 0.2 centimeters or 2 millimeters. And after 2.5, 0.25 centimeters, or 2.5 millimeters.
Step-by-step explanation:
( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee
Answers
[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]
When a cold drink is taken from a refrigerator, its temperature is . After minutes in a room its temperature has increased to . What is the temperature of the drink after minutes
Answers
Answer:
Step-by-step explanation:
5 tons of fertilizer cost $6,600.00. What is the price per pound?
Answers
Answer:
66 Cents per pound
Step-by-step explanation:
1 ton = 2,000 pounds
5 tons = 10,000 pounds
10,000 pounds = $6,600
1 Pound = $0.66
what is the slope of the line // take my points !!!!
Answers
Answer:
Im not sure
Step-by-step explanation:
Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
percent of change original:8 new :12
Answers
Answer:
?????????
Step-by-step explanation:
What are u asking
Help me please Research
Answers
Answer:
i think the details given for the question is in sufficient or question is wrong
Show me the
volume of a cube
with side lengths
of 2
Answers
Answer:
8
Step-by-step explanation:
v=l*w*h so 2^3=8
16 308/1000 as a decimal
Answers
Answer: 16.308
Step-by-step explanation:brainiest please
solve for x:
4x-14=-2x+24
Answers
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
Question is atttached below
Answers
Answer:
A. 20·60
Step-by-step explanation:
The product of force and distance is ...
[tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answers
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer
Which capacities are written in order from least to greatest?
A.2L, 2900mL, 250cl, 24dL
B.2L, 24dL, 250cL, 2900mL
C.2900mL, 250cL, 2L, 24dL
D.2900mL, 2L, 250cL, 24dL
Answers
Answer:
B
Step-by-step explanation:
A. 2L, 2.9L, 2.5L, 2.4L
B. 2L, 2.4L, 2.5L, 2.9L
C. 2.9L, 2.5L, 2L, 2.4L
D. 2.9L, 2L, 2.5L, 2.4L
Answer:
what is in order from least to greatest is B
Step-by-step explanation:
as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answers
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6