Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.
Answers
Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]
∵ BC = 6 units
∵ EF = 3 units
∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]
∵ CA = 2 units
∵ FD = 1 units
∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]
∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
Related Questions
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by
Answers
Answer:
[tex]2.75,\ 0.1x[/tex]
[tex]2.75[/tex]
Step-by-step explanation:
In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].
If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].
In 1980, zero years have passed so, [tex]x=0[/tex]
Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]
In the figure above, lines l and m are parallel and lines s and t are parallel if the measure of <1 is 35, what is the measure of 2
Answers
Answer: 145
Step-by-step explanation:
145 degrees
The measure of angle ∠2 in the triangle is 145.
Option D is the correct answer.
We have,
From the figure,
The s and t lines are parallel.
The l and m lines are parallel.
Now,
∠1 and ∠a are corresponding angles.
∠b and ∠a are corresponding angles.
This means,
∠1 = ∠a = ∠b = 35
Now,
∠2 and ∠b add up to a straight angle.
This means,
∠2 + ∠b = 180
∠2 + 35 = 180
∠2 = 180 - 35
∠2 = 145
Thus,
The measure of angle ∠2 is 145.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ4
PLEASE HELP!!
Graph the function:
g(x)=(x-1)(x+2)(x-2)
Answers
Answer:
See the picture below. I just used Desmos.
Solve each equation:
5x=1
Answers
Answer:
5x=1
Step-by-step explanation:
51
The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.
Answers
Answer:
pre image point A (8,0)
Step-by-step explanation:
I guess thats the answer
A = (x, y)
After a translation right 2 units and down 1 unit is the point B (10, -1)
A = (x + 2, y - 1)
B = (10, -1)
A = B
x + 2, y - 1 = 10, -1
x, y = 10 - 2, -1 + 1
x, y = 8, 0
(x, y) = (8, 0)
The coordinates of pre-image point A is (8, 0)
If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
Answers
Answer:
5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5
Answer:
5 gallons.
Step-by-step explanation:
two gallons=$5.40
? gallons=$13.50
you cross multiply
2 × $13.50÷$5.40
27÷5.40=5 gallons
please help on either of these questions, im lost. :((
Answers
Answer:
2. I think is 5
Step-by-step explanation:
Answer : The answer to the second question is -5. Option A.
I'm confused about what the first question means.
A store sells rope by the meter. The equation p = .8 L represents the price: p (in dollars) of a piece of nylon rope that is L meters long.
How long is a piece of nylon rope that is $2.80?
Answers
Answer:
3.5 meters
Step-by-step explanation:
Equation: p = 0.8L
Given: p = 2.80
To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:
p = 0.8L
2.8 = 0.8L
Divide both sides by .8 to isolate L:
[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]
3.5 = L
The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.
What is the surface area of the rectangular pyramid below?
Answers
What is the first step in simplifying the following expression?
(((4+7) -2)^2 *4 -1 ÷2)
Your answer:
1÷2
2^2
2*4
(4+7)
(helppp!)
Answers
According to BODMAS rule...
We would first solve...
Bracket i.e.(4+7)
Please help me with this
Answers
[tex]\rm\blue{Answer:}[/tex]
x = 70°
Explanation :
To find : Value of x
Here, given angles are :
35°, 75° and x
Knowledge Required to solve it :
The sum of all the angles of a triangle is 180°.
Now,
35°+75°+x=180°
⇒110°+x=180°
⇒x=180°-110°
⇒x=70°
.°. x=70°
Which are the solutions of x2 = -5x + 8?
Answers
Answer:
x=
2
−5−
57
=−6.275
x=
2
−5+
57
=1.275
Step-by-step explanation:
HELP PLEASE ILL GIVE U 26 POINTS
Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?
1. (-3,2) and (-1,2)
2.(-3.-2) and (-1,-2)
3. (1,-2) and (3,-2)
4. (2,3) and (2,1)
5. none of the above
Answers
Answer:
1. (-3,2) and (-1,2)
Step-by-step explanation:
Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is
So the coordinates become:
A(-3, -2) → A'(-3, 2)B(-1, -2) → B'(-1, 2)Correct option is the first one
EASY POINTS Y'ALL!!!!
Answers
Answer:
subtracting 18 from both sides isolate the variable term
-|-2-3(6)| evaluation
Answers
Answer:
-20
Step-by-step explanation:
Patrick paid $12 for
25 pounds of candy.
How much did each
pound of candy cost?
Answers
12/25= $0.48
$0.48/pound is your answer
Answer:
48 cents each pound
Step-by-step explanation:
Divide $12 by 25 pounds.
12÷25=0.48
HELP PLS
What is the domain of the function y= Vx+6 -7?
x²-7
X-6
x26
x7
Answers
The domain of the function is [ - 6 , ∞ ]
What is range & domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
A radical function is the one provided.
It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.
As a result, either the radicand of the provided function must be larger than or equal to zero, or:
Thus we can write it as
x + 6 ≥ 0
subtract 6 from both LHS and RHS
x + 6 - 6 ≥ 0 - 6
x ≥ - 6
Therefore the domain of the function is [ - 6 , ∞ ]
To know more about domain and function you may visit the link which is mentioned below:
brainly.com/question/13113489
#SPJ7
Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.?
Answers
Answer:
40in^2
Step-by-step explanation:
is this right please tell me the right answer if not
Answers
Answer:yes
Step-by-step explanation:
On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.
a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.
b. In what months and years do the accounts have approximately the same amount, and what are the amounts?
Answers
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
8b + 5 + 4 = -23
Need ASAP
Answers
Answer: b= -4
Step-by-step explanation:
8b = -32 so then 32 divided by 8 = -4 so the yeaaaaaaaaasaaaaaaa
PLS
SOLVE !!!!
I WILL MARK THE BRAINLIEST
Answers
Answer:
A is two; B is nine; C is one
Good Luck!
a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.
b) if C is 1, then in the ones place, B+A must = 11
c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2
On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answers
Answer:
D
Step-by-step explanation:
The lower the number, the more left it will be, the higher the number, the more right it will be.
Write the following number in
scientific notation.
0.05796
[? ] [ ]
Answers
Answer:
= 5.796 × 10^-2
(scientific notation)
= 5.796e-2
(scientific e notation)
Step-by-step explanation:
Answer:5.796 x 10- 2
Step-by-step explanation:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 35% off clearance items. What percent of the original price do you end up paying?
Answers
Answer:
35.75%
Step-by-step explanation:
Given that:
Markdown % = 45%
Additional percentage off = 35%
45% markdown :
100% - 45% = 55% of item price will be paid.
Furthermore,
35% additional discount :
100% - 35% = 65% of item price will be paid
Hence, percentage of original price paid:
(55% * 65%) = 0.3575
= 35.75% of the original price is paid
Find the equation of the line that passes through points a and b.
Please help, will award brainliest.
Answers
(-1-7)/(-3-1) = -8/-4 = 2
Y = 2x + b
Plot in point
7 = 2(1) + b, b = 5
Equation: y = 2x + 5
Max's town voted on a new speed limit. Of the votes received, 576 were in favor of the new speed limit and 64 were opposed. What percentage of the votes were in favor of the new speed limit?
Answers
9 I think that the Answer so if not delet this Answer
How do i write an equation in slope intercept form if they give you the slope and what it has to pass through. I totally forgot how to do this
Answers
Answer:
y=mx+b
Step-by-step explanation:
The m=slope. The x is just there, and the b=the line it passes through
BRAINLIEST PLS
Need help please help.
What are the answers for this and please explain thank you.
Answers
the equations is y=3/4x+5
don’t know the vertical intercept
no
no
passes through the points (−4, 2) and (12, 6)?
Answers
I'll assume you need to find the equation of the line that passes through those points.
Answer:
[tex]\displaystyle y-2=\frac{1}{4}(x+4)[/tex]
Step-by-step explanation:
Equation of a Line:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given points are (-4,2) and (12,6), thus:
[tex]\displaystyle y-2=\frac{6-2}{12+4}(x+4)[/tex]
Operating:
[tex]\displaystyle y-2=\frac{4}{16}(x+4)[/tex]
Simplifying, the equation in point-slope form is:
[tex]\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}[/tex]