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
What is the solution to 34x+85=3(13x+7)
Answers
Answer:
x=12.8
Step-by-step explanation:
34x+85=39x+21
34x-39x=21-85
-5x = -64
x = -64/-5
x = 12.8
Answer:
x = 34/5
Step-by-step explanation:
Just solve the equation
[tex]34x + 85 = 3(13x + 17)\\34x + 85 = 39x + 51\\85 - 51 = 39x - 34x\\34 = 5x\\x = 34/5[/tex]
What is the measure of angle SUT?
A) 35
B) 70
C) 110
D) 290
Answers
Answer:
C
Step-by-step explanation:
35+35+x=180
x=180-70
x=110
f (x)=2^2-7x-6 Find f (6)
Answers
2^2 - 7(6) - 6
4 - 42 - 6 = -44
i need help please asap
Answers
Which equation is true when n = 1.2?
10n = 1.2
n + 1 = 1.2
5 + n = 6.2
1.2n = 10
Answers
Answer:
Step-by-step explanation:
ji
Answer:
5+n=6.2
Step-by-step explanation:
if n = 1.2
then its 5 +1+ .2 = 6.2 i think
please help, the brainiest will go to the one with a good answer.
Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z
A. -3x^2yz^4
B. 3yz^4/1x^2
C. -9yz^5/-3x^2
D. 36yz^5/12x^2
Answers
Which of the following is the missing value?
a. 0.27
b. 0.30
c. 0.37
d. 0.50
Answers
Answer:
answer is b
Step-by-step explanation:
Solve.
25 ‒ (‒ 42) =
A.
67
B.
17
C.
‒17
D.
‒67
Answers
Answer:
You are Correct!!!
Step-by-step explanation:
is 45.213623 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.
Answers
Answer:
y = -0.5x + 6, Domain [0,12] and Range [0, 6]
Step-by-step explanation:
The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.
Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.
Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.
Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]
Hope this helped!
without using mathematical tables or calculators, evaluate 0.09 * 1.21 / 3.3 * 0.00024 leaving your answer in standard form(scientific notation)
Answers
Answer:
Step-by-step explanation:
[tex]0.09* \frac{1.21}{3.3}*0.00024= 0.09 * \frac{1.21*10}{3.3*10}*0.00024\\\\=0.09*\frac{12.1}{33}*0.00024\\\\= 0.09 * \frac{1.1}{3}*0.00024\\\\= 0.09 * 1.1 * 0.00008[/tex]
= 0.00000792
= 7.92 * [tex]10^{-6}[/tex]
What should be subtracted from the following expressions to make perfect square ?
: Question number 1 =
z⁴+z⁴
Answers
Answer:
i dont know the answer i just live and only socialize thru brainly and im 67 years old
Step-by-step explanation:
i dont know i dont have a phone i only have a 1972 computer
???? , y’all should know by now i HATE math so can like one of y’all help out . lol
Answers
Answer: d-250
Step-by-step explanation: it states that Samuel receives a “net winnings” meaning he won more than he spent on the competition. Since “net”means total earned minus amount payed, what he won has to be subracted from what he owes.
Sam wrote on the board counting numbers from 12 to 111:12, 13, 14, ..., 110, 111. How many digits did Sam write?
Answers
Answer: Sam wrote 99 digits
Step-by-step explanation: Take the highest number minus the lowest number and that his how many numbers are between 12 and 111.
I am preparing a fruit salad for 16 guests. Each person gets 3/4 of a cup. How many cups are needed?
Answers
Answer:
12 cups, since .75*16=12
Step-by-step explanation:
Which of the following is not a rate?
doing 45 crunches in 1 minute
paying $3.15 for 1 gallon of gas
folding 6 loads of laundry in 3 days
walking 4 miles in 1 hour
Answers
Answer:
folding 6 loads of laundry in 3 days i think
Step-by-step explanation:
im pretty sure a rate is something paid/done/etc per one unit if that makes any sense lol
Answer: the answer is folding 6 loads of laundry in 3 days
__7. Cooling Tea: A freshly made cup of tea is served at a temperature of about 180°F. The tea
cools rapidly at first, and then slows down gradually as it approaches room temperature.
Independent Quantity:
Dependent Quantity:
Answers
The dependent quantity would be temperature. How hot the tea is depends on how much time has passed.
Solve for a: 3a – 5(a – 2) = 34
Answers
3a-5a+10=34 (i developed)
-8a+10=34 (i subtracted 3a and 5a)
-8a=34-10 (brought 10 to the other side so it becomes negative)
-8a=24
a=24/-8 (multiplication become division)
a=-3
Answer:
a=12
Step-by-step explanation:
What is a possible solution set to x + 7 ≤ -9 ?
Answers
Answer:
Step-by-step explanation:
x + 7 ≤ -9 subtract 7 from both sides
x≤-16 this is your answer
If you're plotting it will be (-∞,-16]
Answer:
Step-by-step explanation:
For this equation, all it is asking is to replace the unknown value with a number that completes the equation. However, the number must make the equation valid. Here is a few examples that could be a valid solution to this problem:
1. -55 + 7 < -9
(you don't need to solve this equation to tell that it's less than negative nine.)
2. 22 + (-98) + 7 < -9
(this is more complicated, but you can still tell that the sum is less than negative nine.)
So, basicly all that you have to do is replace the missing value with a number that gives the eqquation a sum less than negative nine. Hope this helped!!! :)
Times are tough for Peter the Penguin and his "Hug a Penguin" business has been on the decline. Last year Peter the Penguin made $570 dollars from selling hugs. If he experienced a 20% decrease in sales how much did he make this year?
Answers
Answer:
the new sales after decrease in sales percentage this year is $456 dollars
Step-by-step explanation:
The computation of the sales made this year is shown below:
Given that
last year sales would be $570 dollars
And in this year there is 20% decrease in sales
so, the new sales after 20% decrease would be
= Last year sales × (1 - decreased percentage)
= $570 × (1 - 0.20)
= $570 × 0.80
= $456 dollars
hence, the new sales after decrease in sales percentage this year is $456 dollars
a
(10x – 23)
137°
b
What is the converse?
Answers
Answer:
x=16 alternate interior angles converse
Step-by-step explanation:
which expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4)?
Answers
Answer:
C
Step-by-step explanation:
The expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4) would be equal to (3/2 . 1/4)14
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; can be used to indicate the logical syntax's order of operations and other features.
Now we have given an expression as;
14(3/2 . 1/4)
Using associative property to make it easier to evaluate;
14(3/2 . 1/4)
= (3/2 . 1/4)14
The correct answer is D.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
Need answer ASAP!!!
Will make brainliest!!
which number best represents the slope of the graphed line?
Answers
Answer:( -10,10), (-,+)
Step-by-step explanation:
Awnser:
-2
Step by Step:
To find a slope, you need to find 2 points. You can't have a line with only 1 point.
The equation for a slope is: y2-y1/x2-x1.
It doesn't matter which order you put them in.
I used (-4,1) and (-6,2).
So: 2-1/-6-(-4)
1/-6+4
1/-2
-2
Last year, Summerfield Steel sold 6.5×104 pounds of steel to private businesses and 2.5×105 pounds of steel to government agencies. This year, they expect to sell 3 times that amount. How much steel would that be?
Answers
Answer:
9.45 × 10⁵ pounds of steel
Step-by-step explanation:
Last year, Summerfield Steel sold 6.5×10⁴ pounds of steel to private businesses and 2.5×10⁵ pounds of steel to government agencies.
Total amount of steel sold last year = (6.5 × 10⁴ + 2.5 × 10⁵) pounds = 315000 pounds = 3.15 × 10⁵ pounds
This year, they expect to sell 3 times that amount.
This year = 3 × 3.15 × 10⁵ pounds
= 9.45 × 10⁵ pounds of steel
1 1/3 - 2 1/5 + 7/10
Answers
:)
Answer:
[tex]-\frac{1}{6}[/tex]Step-by-step explanation:
[tex]1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}[/tex]
[tex]=-\frac{13}{15} +\frac{7}{10}[/tex]
[tex]=-\frac{1}{6}[/tex]
(6th grade math)
Luis has 32 oz of water in his bottle. After drinking part of the water he has 16.07 oz. how much water did he drink?
Answers
Answer:
He drank 15.93 ounces.
Answer:
15.93 oz
Step-by-step explanation:
your welcome
Math question:
In ΔRST, m
Answers
Answer:
huh i dont understand can u post a pic
Help me please i don’t wanna fail
Answers
Answer:
B
Step-by-step explanation:
Felix can grow 6 plants with every seed packet. Write an equation that shows the relationship between the number of seed packets x and the total number of plants y. Write your answer as an equation with y first, followed by an equals sign.
Answers
Answer:
I believe it’s:
Y= 6x
Step-by-step explanation:
Question 7:
Given two terms in an arithmetic sequence find the nth term.
a) 18th = 3362 and 38th= 7362
گرم
a
Answers
The answer is:
Nth term=200n-238