Answers
Answer:
Slope formula: y2-y1/x2-x1
Step-by-step explanation:
8-6/9-6= 2/0
Answer:
Step-by-step explanation:
Alright we need to prove that both the triangles are similar so lets get started
The slope formula is:
Slope = Change in y / Change in x
m = Δy / Δx
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]
Where, m is the slope and [tex](x_1,y_1) , (x_2,y_2)\\[/tex] are any points on the line
In this graph we are given three points which are
(0 , 2) , ( 6 , 6) and (9 , 8)
So for our first triangle we use the 2 points (0 , 2) and (6 ,6) and calculate the slope,
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-2}{6-0}\\\\m=4/6\\\\m=2/3\\[/tex]
So the slope turns out to be 2/3 , Now for our second triangle use the 2 points (6 , 6) and (9 , 8)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{8-6}{9-6}\\\\m=2/3\\[/tex]
So we can see the the slope's are equal that's the answer to your first part.
Second part
Yes they are similar due to the property of corresponding angles where angle x of the first triangle equals angle x for the second triangle and angle y for the first triangle equals angle y for the second triangle and both the triangles have 90° se they are similar because all three angles are similar. (AAA = angle angle angle property) I have attached a to make you understand it better.
Related Questions
I don’t know if this correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!! PLEASE ANSWER !!!!!!!!!!!!!!
Answers
Step-by-step explanation:
the three angles =180
because they are supplementary angles
I hope this help
BRAINLIEST!!
In a few sentences describe the most useful piece of information that you recieved. Make sure to use proper grammar and use detailed words.
Answers
Answer:
For me it would be don't fail in life.
What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?
Answers
Answer:
[tex]x^{4}[/tex] + 3x³ - 3x - 1
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width ) , thus
A = (3x² - 2x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, then
A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
= 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms
= [tex]x^{4}[/tex] + 3x³ - 3x - 1
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
Answers
Ricky had 1203 hits Pedro had 1484
Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.
Answers
Answer:
[tex]x-200+y[/tex]
Step-by-step explanation:
We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:
Previous balance - Payments + Total Purchases = New balance
where, previous balance = $1000; payments = $800; total Purchases = y
New balance = [tex]1000-800+y[/tex]
Next, to find her Credit balance or current available; we use the formula; Credit line - New balance
where credit balance = x; new balance = [tex]1000-800+y[/tex]
Current available credit = [tex]x-200+y[/tex]
A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *
Answers
Answer:
28%
Step-by-step explanation:
Given that,
The total no of runners = 25
No. of boys in the team = 18
We need to find the percent of the track team are girls.
Total no of girls = 25-18 = 7
Percent of girls :
[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]
Hence, there are 28% of girls.
Help me with this problem please
Answers
Answer:
24/12
---------
100
Step-by-step explanation:
and just go to a calculator and divide the answer and round it up
PLEASE HELP
I NEED BOTH PARTS!
Answers
A set of 4 consecutive integers adds up to 250. Which integers are they?
Answers
The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.
61 + 62 + 63 + 64 = 250
Answer:
61 , 62 ,63 , 64
Which of these angle pairs are congruent because they are corresponding
angles?
Answers
Answer:1 and 5
Step-by-step explanation:
i think 1 and 5 are corresponding.
tell me if am wrong
Answer:
A. 1 and 5
Step-by-step explanation:
I just took the quiz, I hope this helps!
4radical7-2(2radical7+radical3)+radical12
Answers
Given:
[tex]4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+\sqrt{12}[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex]4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+\sqrt{12}[/tex]
It can be written as
[tex]=4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+\sqrt{4\times 3}[/tex]
[tex]=4\sqrt{7}-2(2\sqrt{7}+\sqrt{3})+2\sqrt{3}[/tex]
Using distributive property, we get
[tex]=4\sqrt{7}-2(2\sqrt{7})-2(\sqrt{3})+2\sqrt{3}[/tex]
[tex]=4\sqrt{7}-4\sqrt{7}-2\sqrt{3}+2\sqrt{3}[/tex]
[tex]=0[/tex]
Therefore, the value of given expression is 0.
What is the area of a rectangle with vertices
(-1,-4), (-1,6), (3, 6), and (3,-4)?
16 square units
24 square units
36 square units
40 square units
Answers
Answer:
40squared units!
I hope it will be useful.
Answer: 40 square units
Step-by-step explanation:
I took the assignment
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
Answers
C main
Given the graphs of y = 3x - 1 and y = -2x + 1, determine
which ordered pair is a solution to:
y < 3x - 1
y > - 2x + 1
(-4,2)
(0.4)
(4,2)
(2.-4)
Answers
Answer:
Такое тёплое место, но там, на улице,
Где ждут отпечатков наших ног,
Там сапоги сияют звёздной пылью.
Здесь пастыри и мягкое кресло,
Ослепительные сны под ярким солнечным шаром,
Курок не был нажат, когда было нужно.
Step-by-step explanation:
What is the slope of this line?
y= -5/3x + 5
Answers
Answer:
-5/3
Step-by-step explanation:
Answer:
-5/3
Step-by-step explanation:
y=mx+b
m is the slope
so its -5/3
Hope this helps plz hit the crown :D
Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form
Answers
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
9x2=18
6x3=18
1x18=18
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
Hope this helped have an amazing day!
12x-(5x+4y)-2y+3x-(2x-2y)
Answers
Answer:
8x-4y
Step-by-step explanation:
triangle ABC has vertices, A(4,4), B(-1,4), and C(1,6). find the orthocenter
Answers
Answer:
(1,7)
Step-by-step explanation:
Because it is :)
The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below. C = $25 + $9p How much did it cost if 18 people attended the party?
Answers
Answer:
$187
Step-by-step explanation:
C = $25 + $9(18 people)
C = 25 + 162
C = $187
Is 9.78778777... a rational or irrational number?
Answers
The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
The given decimal number is 9.78778777....
We need to check whether the given decimal number is a rational or irrational number.
What are rational and irrational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.
Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
To learn more about rational and irrational numbers visit:
https://brainly.com/question/3386568.
#SPJ2
1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘
2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘
3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=
Answers
Answer:
1. m<1 = 139°
2. m<2 = 41°
3. x = 29
Step-by-step explanation:
1. m<1 = 86° + 53° (exterior angle theorem of a triangle)
m<1 = 139°
2. 133° = m<2 + 92° (exterior angle theorem of a triangle)
133° - 92° = m<2 (Subtraction property of equality)
41° = m<2
m<2 = 41°
3. 4x + 15 = 93° + (x + 9)° (exterior angle theorem of a triangle)
Add like terms
4x + 15 = 102 + x
4x - x + 15 = 102 (substraction property of equality)
3x + 15 = 102
3x = 102 - 15
3x = 87
x = 87/3 (division property of equality)
x = 29
Read the top and answer the question!!
Answers
Answer:
Um... ithink it would be 3 but please tell me and correct me if im wrong
Step-by-step explanation:
3w-5>2w+-7 and 6(c+3) 2+-3
Answers
Answer:
w>−2 and 12c+33
Step-by-step explanation:
Answer:
&&&&
Step-by-step explanation:
Sorry, Don't know buddy
The length of a rectangle is (3x-2) and its width is (2x+1). Find algebraic expressions to represent both the perimeter and area of this rectangle
Answers
Answer:
Perimeter = 10x-2
Area = 6x²-x-2
Step-by-step explanation:
Perimeter=2L+2W
2(3x-2)+2(2x+1)
6x-4+4x+2
10x-2
Area=LW
(3x-2)(2x+1)
6x²+3x-4x-2
6x²-x-2
The recommended dosage of some drug is 20 grams of the drug for every 100
kg a person weighs. How much of the drug should be administered to a 70 kg woman?
Answers
Answer:
14 grams
Step-by-step explanation:
20/100=x/70
70 * 20/100=x
14=x
Tyler bought two tickets to a basketball game on the website Game Finder. Each ticket cost $65, and the website charged a convenience fee that was a small percent of the ticket cost.
If Tyler’s total bill came to $132.60, what percent was the convenience fee?
Answers
First you write down the formula. How do you get 132.60 in the first place? I included a pic, please try to understand it. As it'd be v useful in daily life too.
Answer:
the answer is 2%
Step-by-step explanation:
I got 2.0 but you round it so it would be 2% the other girl worked it out just right
help meeee fbdgnxfgdrgfsjrtsjg they needed extra characters
Answers
Answer:
The cost of the new item is $72
Step-by-step explanation:
You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25
Now multiply 0.25 by the original cost of the item which is 96.
If you think about 0.25 as 1/4, because 25 is 1/4 of 100.
You will get 24, this is how much money is taken off of the original price.
So some easy subtraction: 96-24=72.
Now you have the new cost of the item
Dwayne got a raise, and his hourly wage increased from $12 to $15. What is the percent of change?
A. 20% increase
B. 25% increase
C. 20% decrease
D. 25% decrease
Answers
Answer:
B
Step-by-step explanation:
The pay increases, so it clearly cannot be C or D, and 25% of 12 is 3 because 12/4 = 3, so it would have to be B.
12 x 0.25 = 3
3+12 = 15
Therefore it’s B
A grocery store sells a bag 7 oranges for $2.66. if alexandra spent $3.42 on oranges how many did she buy
Answers
Answer:
9 oranges
Step-by-step explanation:
7 for 2.66 is 38c for 1
Step-by-step explanation:
if 7 gives 2.66
so 3.42×7÷2.66 gives 9 orange
What is the value of P?
Answers
Answer:
5P= 2P+21+45 ( sum of two sides is is equal to
the opposite exterior angle)
5P=2P +61
5P-2P=61
3P=61
p= 61÷3
p=2.33333
Answer:
p=22
Step-by-step explanation:
idek how i got this answer but i think its right.