Answers
Answer:
when you do these types of problems, try to think of how you could find out if they are similar. Try to make the shapes bigger or rotate. ^^
Step-by-step explanation:
i hope this wasn't too much into and i hope this helped <3
edit: the answer is 1 and 2.
the reasoning is when you turn the rectangle and divide each correlating side (7.5 by 5 and 9 by 6) for both sides you get the same number: 1.5
when you get the same number, they are similar ^^
9514 1404 393
Answer:
rectangles 1 and 2 are similar
Step-by-step explanation:
Polygons are similar when ...
corresponding angles are congruentcorresponding sides are proportionalIn a rectangle, all angles are 90°, so all angles are congruent.
The question of proportionality can be answered a couple of ways. One is to identify corresponding sides in the different figures, then see if the ratios between figures are the same.
Another way is to identify corresponding sides in the same figure, find their ratios, then see if those match with the ratios in the other figure.
For triangles and parallelograms, it can be useful to use the ratios of the sides in order from shortest to longest.
Here, the ratios are ...
rectangle 1: 5 : 6
rectangle 2: 7.5 : 9 = 15 : 18 = 5 : 6 . . . . similar to rectangle 1
rectangle 3: 12 : 15 = 4 : 5 . . . . not similar to the others
Rectangles 1 and 2 are similar.
_____
Additional comment
Ratios are equivalent if all the numbers involved have the same factor. For rectangle 2, we wanted to reduce the ratio to the lowest integer terms. Here, we recognize that 7.5 can be cleared of a decimal by multiplying by 2, so we did ...
7.5 : 9 = (2)(7.5) : (2)(9) = 15 : 18
Now, we can see that these numbers have 3 as a common factor, so we can remove that factor.
(3)(5) : (3)(6) = 5 : 6 . . . . reduced form of the ratio 7.5 : 9.
__
We can also get there by finding the greatest common divisor* of 7.5 and 9. That is 1.5, so we have ...
7.5 : 9 = (1.5)(5) : (1.5)(6) = 5 : 6
__
* Euclid's algorithm for finding the GCD works with decimals or fractions as well as integers. Basically, you see if the difference is a divisor of the numbers. If it is, that is the GCD. 9 -7.5 = 1.5 is a divisor of both 7.5 and 9, so that is the GCD. (If not; the difference replaces the larger number, and the process repeats.)
Related Questions
Quickkk please help and how all work
y = x +4
2x - y = 6
Answers
please help om failing math..
Answers
How many 3/5's are in 4?
Answers
Answer:
6.6
Step-by-step explanation:
Answer:
6.6
Step-by-step explanation:
For the relation {(6, 4), (4, 2), (2, 0), (x,-2)} to be a function, x can be which value?
A. 0
B. 4
C. 2
D. 6
Answers
Answer:
x can only be 0
Step-by-step explanation:
What is the location of D on the decimal number line below?
Write your answer as a decimal.
D
2
х
?
Answers
Answer:
1 point
Step-by-step explanation:
A car dealership has SUVs and sedans in a ration of 5:9. How many sedans does the car dealership have if there are 140 SUVs
Answers
To solve this, all you need to do is compare the ratio to the amount of SUVS there are.
5/9 (SUVs to sedans)
140/? (SUVs to sedans)
140 ÷ 5 = 28
9 x 28 = 252
140/252
There are 252 sedans in the car dealership! :D
Answer:
252 Sedans
Step-by-step explanation:
your welcome ;)
Pls help?!!! 3 = a — 1
Answers
Answer:
4
Step-by-step explanation:
3= a -1
+1 = a. you pass the negative 1 to the other side.
and it turns to a + 1 and then you add it which
gives you 4
4= a
Please help me with I’m desperate
Answers
Answer:
Radius
314 cm²
Step-by-step explanation:
They gave you the diameter which you can find the radius from, and you need the radius to find the area. The radius is 10, and that squared is 11. Multiply 3.14 times 100 to get 314.
The expression 4x/5-2x/3 is equivalent to?
Answers
Answer: The answer B
Step-by-step explanation: so the answer i got was x 5 so its B
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
(-2,0) (1,0) (6,0)
Step-by-step explanation:
I used synthetic division which is a lot to explain so I would recommend googling it
Answer:
-12X - 2
Step-by-step explanation:
I don't know I have never done this i'm just going with my gut.
What percent of 40.4 is 50.5?
Answers
Of means multiply and is means equals.
So. X times 40.4 =50.5
Written algebraically: 40.4x =50.5
Divide both sides by 40.4
I get 1.25 but I need to convert to percent so multiply by 100
125%
40.4 is 80% of 50.5
Sorry if wrong! Plz mark brainiest if correct :D Have a great day luv <3
-Bee
is x2 greater then x
Answers
Answer:
yes
Step-by-step explanation:
a student throws a baseball with a speed of 8m/s and a kenetic energy of 25J.what is the mass of the baseball
Answers
Answer:
25/32 kg
Step-by-step explanation:
The kinetic energy K of a body in motion measured in joules is given as
K = 1/2 mV^2
Where n is the mass in kg and V is the speed in m/s
Hence given that K is 25J and speed V is 8 m/s,
25 =1/2 * m * 8^2
25 = m *32
Divide both sides by 32
m = 25/32 kg
solve 4/6 + 1/3
options:
6/6 or 1
7/6
5/3
12/6 or 2
Answers
Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary.
C=24x+80
R=44x
Break Even point (_ , _)
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given
C=24x+80
R=44x
To determine
What is the break-even point?
Given that
C represents the cost in dollars
R represents the revenue in dollars.
At the break-even point Cost (C) equals Revenue (R), so
R = C
44x = 24x+80
44x-24x = 80
20x = 80
divide both sides by 20
20x/20 = 80/20
x = 4
Thus, at x = 4 the value of Cost (C) equals Revenue (R).
i.e.
C = 24x+80 = 24(4)+80 = $176
R = 44x = 44(4) = $176
Answer:
(4, 176)
Step-by-step explanation:
Cause im smart and its right :3
Mark's favorite tree is a large oak
tree in his front yard. Mark wanted to
know how tall the tree is. At the
same time of day, he measured the
length of his shadow and the length
of the shadow cast by the tree. Mark,
who is 5 feet tall, cast a shadow 10
feet long. He found that the tree's
shadow was 140 feet long. How tall is
the tree?
Answers
Answer: The shadow of the tree is 280 feet long.
Step-by-step explanation:
We can use a ratio to solve this:
Use the Height to shadow for each. This works because the fractions must reduce to the same equivalent.
5/10 = 140/x
We can see that 5/10 is 1/2, so we need another fraction using 140 as the numerator that is equal to 1/2. That's easy here: Multiply 140 × 2 to get the new denominator, 280 that replaces x. That is the length of the shadow.
If you have a less obvious ratio, you can use Cross Multiplication to solve the unknown value in the ratio:
5/10 = 140/x Cross multiply the numerator of the left side times the denominator on the right side, and the denominator on the left side by the numerator on the right side:
5 × x = 10 × 140
5x = 1400 Divide both sides by 5 (the 5s "cancel" on the left)
5x/5 = 1400/5
x = 280
I hope this helps, especially when you see more questions like this in the future.
After a 80% reduction, you purchase a new washing machine on sale for $132. What was the original price of the washing machine?
The original price was $
Answers
132 =.2x
X =$660
$200
Step-by-step explanation:
80% 200 is equal $132
Word problem ideas for
4x+10
2(x-6)
Answers
Answer:
15
Step-by-step explanation:
Here is a list of numbers: 7, 19, 3, 18, 15, 3, 14 ,20 ,2 ,12 State the median.
Answers
Answer:
13.
Step-by-step explanation:
2, 3, 3, 7, 12, 14, 15, 18, 19, 20
3,3,7,12,14,15,18,19
3,7,12,14,15,18
7,12,14,15
12,14
^ Mean: 13
Uhh it's easy, did you really pay attention at ALL during the lesson. Literally don't judge on here but really!!!?
Jerome served $725 worth of meals last weekend. How much did Jerome earn last weekend?
Answers
Answer:
725 dollars probably
Step-by-step explanation:
it really depends on how much is cut away from his check from business expenses and how much his boss would take
-6= n/2-10 what is n?
Answers
Answer:
8
Step-by-step explanation:
8/2 equals 4 minus 10 is -6
Answer:
-6= n/2 -10
-12=n-20
-12-n=-20
-n=-20+ 12
-n=-8
n=8
Step-by-step explanation:
1. multiply both sides of the equations by 2
2.Move the N varaiableto the left hand side and change its sign
3. Calculate the sum of -20+12
4. change the signs from negative N to positive N giving you the value of 8
n=8
Solved.
:)
16 points!!!!! Ok what is 5+5x2+9999999x6 (5+10)%4
Answers
Answer:
224,999,992.5
Step-by-step explanation:
i used the BEDMAS rule.
first of all i added 5+10 which is in the bracket.
then, i multiplied 5×2 because in bedmas rule .. tho division comes first in BEDMAS. we check what is comes first from multiplication and division.
after that . i multiplied 9999999×6 then, as you know. if a digit is before the bracket is multiplied to the digit inside the bracket. i mutiplied the product of 9999999×6 with 15.
i dunno what you meant by (5+10)%4. so i just assumed that you meant (5+10)÷4. after i got the product of 59,999,994 ×15. i divided it with 4. now as we are done with BEDM. now only addition and subtraction is left. there is no subtraction.. so i added the products and the quotient .
Now... add 5+10+224,999,977.5
you get the ans 224,999,992.5
Do correct me if i am wrong.
Write the prime factorization of the number.
$74=$
Answers
Answer:
90
Step-by-step explanation:
3x +y = -5
2x + 3y = -8
Answers
Answer:
Step-by-step explanation:
for 3x +y = -5
it's [tex]x = \frac{-5 -y}{3}[/tex]
and for 2x + 3y = -8 it's
[tex]x = \frac{-8 - 3y}{2}[/tex]
a town has a population of 18000 and grows at 2% every year, What will be the population after 11 years, to the nearest whole number
Answers
Answer:
Step-by-step explanation:
we have 18,000 people
growth 2% per year
time=11 years
18,000*2/100=360 growth per year
360*11=3,960.00
18,000+3,960=14,960
what is the value of the expression 4⁴?
Answers
Answer:
256
Step-by-step explanation:
Jake's coupon took $2 off the price of a book. If the coupon took off 10% of the price,
how much did the book originally cost?
Answers
Can someone please help me ASAP!!?
Answers
Answer:
Option A
Step-by-step explanation:
Domain is the set of x values or input values of a function.
Range is the set of y values or output values of a function.
Given relation is,
2x + y = 4
Set if input values of domain → {-5, 0, 6}
Table for the input - output values,
x -5 0 6
y 14 4 -8
Therefore, range of the given relation will be the set of output values.
{14, 4, -8}
Option A is the answer.
I am having trouble on algebraic expressions and numerical expression what is the easiest way to solve my problem and im in 6 th grade
Answers
Hi. you've asked an incomplete question. However, I provided some explanation about algebraic expressions and numerical expression.
Step-by-step explanation:
First, we may wonder: What is a numerical expression? In simple words, they are mathematical expressions that contain numbers and operations (like +, -, ÷, ×).
For example, 7+70, 90-10, 60÷10, 5×4 are numerical expressions.
While an algebraic expression on the other hand is a mathematical expression that contains at least one variable.
Variables are letters or symbols (like x, y, p, q, etc) that represent an unknown number or value in a mathematical expression.
For example, 7x+70, 90y-10 are algebraic expressions since they contain at least one variable.
Imagine that you are given the graph of a brand new parent function, y = P(x), that you have never seen before. You are then asked to graph y = P(x) + 3. Explain how you would go about graphing this new function.
Answers
Answer:
You would move each point on y=P(x) up by three. Or add 3 to each y coordinate
Step-by-step explanation:
This is because we're not manipulating the value of x before it gets multiplied by P.
For example:
If x is set to equal 5 and P equal to 2, then the parent function would have a coordinate of (5,10) since 2(5)=10 but the new function would have a coordinate of (5,13) since 2(5)+3= 13 due to order of operations (2×5 =10, then we add 3).
Answer:
Step-by-step explanation:
Step 1:
Plot y=P(x) from x=-a to x=a with x=0 as the middle point of the distance between a and -a.
Step 2:
Add the value of +3 to each point of y=P(x), ie, y=P(x)+3 meaning that the graph y=P(x) will be pulled up three units on the y axis.
