Answer:
The perimeter of triangle XYZ is 54 cm
Step-by-step explanation:
In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2∵ Δ ABC is similar to Δ XYZ
∵ The longest side in Δ XYZ is 25.2 cm
→ That means its corresponding side in Δ ABC is the longest side
∵ AB = 18 cm, BC = 30 cm, CA = 42 cm
∴ The longest side in Δ ABC is CA
∴ CA is the corresponding side of the side of length 25.2 cm
∴ The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 18 + 30 + 42
∴ The perimeter of Δ ABC = 90 cm
→ Use the 2nd fact above
∵ P of Δ XYZ = r × P of Δ ABC
∵ r = 0.6 and P of Δ ABC = 90
∴ The perimeter of Δ XYZ = 0.6 × 90
∴ The perimeter of Δ XYZ = 54 cm
solve for (8x16.95)-7.50
THIS IS DUE IN ABOUT 12 MINUTES HURRY I NEED ANSWERS ASAP!!
What is the 4th term in the sequence a(n)=-1/16(2)n-1
Answer: =−0.889
Step-by-step explanation:
math
All of the ingredients are purchased in bulk sizes. The butter comes in 12-cup containers. How many recipes will each container of butter be able to make?
Answer:
some information is missing, so I looked for similar questions and found the attached image:
since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).
One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.
On a map, 1 inch represents 100 feet. How many inches would
represent 350 feet? (Hint: answer will be a decimal) *
Answer:
3.5
Step-by-step explanation:
3.5 inches would represent 350 feet.
Inches and feetRelationship between inches and feet is that one inch is equal to [tex]\boldsymbol{100}[/tex] feets as per the map.
So,[tex]350[/tex] feet represent [tex]\frac{350}{100}=3.5[/tex] inches.
Therefore, [tex]\boldsymbol{3.5}[/tex] inches would represent [tex]350[/tex] feet in decimal.
Find out more information about inches here:
https://brainly.com/question/9300770?referrer=searchResults
You and your friend Alex are looking to buy tickets for a big concert. You know that Ticket System charges $22 per person plus a $10 surcharge per transaction. You and Alex think you can get a better deal at Max Tickets, which charge $20 per ticket and a $16 transaction fee. How many people have to buy tickets for the two companies to have the same price? How
did you find your answer?
Answer:
You will need to make 3 transactions
Step-by-step explanation:
For the first one you will do 22 times 3 people which is 66 plus 10 which is 76. For the second one you will do 20 times 3 people which is 60 plus the 16 dollar which gives you 76. So 3 people have to buy tickets for the two companies to have the same price.
A cereal box says it contains 20% more it came with 18.5 ounces of cereal how much cereal does the box come with now
Answer:
22.2 ounces
Step-by-step explanation:
18.5 ounces times 1.20
Rui Feng wants to paint the exterior surface of 12 closed cylinders which have base radius 14 cm and height 40 cm. Find total surface area of cylinders that he has to be painted.
9514 1404 393
Answer:
57,001 cm², or 5.7 square meters
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +h)
A = 2π(14 cm)(14 cm +40 cm) = 1512π cm²
Then 12 cylinders will have an area of ...
12 × 1512π cm² = 18,144π cm² ≈ 57,001 cm²
Rui Feng wants to paint a total surface area of 57,001 cm², about 5.7 square meters.
A 14-ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?
Answer:
0.75 or 3/4
Step-by-step explanation:
10 1/2 teaspoons of sugar ÷ 14 oz energy drink = ?
10.5 teaspoons of sugar ÷ 14 oz energy drink = 0.75 teaspoons of sugar per drink
OR (fraction way):
10 1/2 ÷ 14 = ?
First, Convert any mixed numbers to fractions. Then your initial equation becomes:
21/2 ÷ 14/1 = ?
Apply the fractions formula for division (just flip the second fraction and multiply):
21/2 x 1/14 = 21/28 = 3/4 = 0.75
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
What happened in the legend of the Secret Pueblo gold mine?
a.
An Native American boy led the priests to a secret mine.
b.
A captured boy learned there was a mine that contained a vein of pure gold.
c.
Pueblo elders offered $10,000 to anyone who would find the location of the mine.
d.
Coronado spent his life trying to find a legendary mine.
Answer:
The answer is B: A captured boy learned there was a mine that contained a vein of pure gold.
Step-by-step explanation:
Took the test.
Answer:
The answer is B
Step-by-step explanation:
A captured boy learned there was a mine that contained a vein of pure gold.
Which function represents a reflection of f(x) = 3 (2)* over the x-axis? O g(x) = -3(2) g(x) = (-2)" O g(x) === O g(x) = {(2)
Answer: The answer is A on edgenity!
Step-by-step explanation:
Answer:A is right
Step-by-step explanation:
:)))) solve the following by factorizing: x^2-2x=120
Answer:
Step-by-step explanation:
[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]
We have to find the factors of 120 that can either add up to or have a difference of 2.
The factors of 120 are:
[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]
The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:
[tex](x+10)(x-12)[/tex]
The point A(-5,6) is reflected over the origin and its image is point B.
What are the coordinates of point B?
Answer:
Answer:
(6,-7)
Step-by-step explanation:
The equation for reflecting an image about the origin is (a,b) to (-a,-b). It means you make x and y their opposites.
Step-by-step explanation:
F(x)=-∣x∣2-3
Shift this equation 1 unit to the right.
Will give brainliest to best answer! TYSM!<3
Answer:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
Step-by-step explanation:
Write the equation for f(x)=IxI but vertically stretch it by a factor of 2, flip it over the x axis, shift it down 3 units, shift it 1 unit to the right
We have the (parent absolute value) function:
[tex]f(x)=|x|[/tex]
And we want to write a new function which represents the previous function: 1) Vertically stretched by a factor of 2, 2) flipped over the x-axis, 3) shifted down 3 units, and 4) shifted 1 unit to the right.
1)
To vertically stretch/compress a function, we multiply the function by a constant a.
If a is greater than 1, it is a vertical stretch. If a is less than 1 (and greater than 0), it is a vertical compression.We want to vertically stretch our function by 2. So, we will multiply our function by 2. Therefore:
[tex]f^\prime(x)=2|x|[/tex]
2)
We want to flip the function over the x-axis.
To flip a function over either axis:
Multiply by negative 1 to flip the function over the x-axis.Substitute x for -x to flip the function over the y-axis.Since we want to flip our function over the x-axis, we will multiply it by -1. So:
[tex]f^\prime(x)=-2|x|[/tex]
3)
We want to shift our function down by 3 units.
To shift a function vertically, we simply add the vertical shift to our function.
Since we are shifting downwards by 3 units, we will add -3 to our function. So:
[tex]f^\prime(x)=-2|x|-3[/tex]
4)
Finally, we want to shift our function 1 unit to the right.
To shift a function horizontally, we replace the x with (x-n), where n is the horizontal shift.
Since we are shifting our function to the right, n=1. Therefore, we will replace x with (x-1). So, our function becomes:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
And we have our final function.
Note: In general, try doing the vertical/horizontal stretches first, x/y-axis reflections second, and then vertical/horizontal shifts last to avoid mistakes.
12 to the power 2 simiflyed
-24<2x-4<10
This is for Algebra 1 Please help me!
Answer:
-12<x<14
Step-by-step explanation:
-24<2x -4<10
-12<x 0<14
-12<x<14
Can someone please help me with this problem? I don’t understand how to do it..
Answer:
y=x+2
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
it crosses the y intercept at (0,2) therefore b is 2
rise over run is 1 so slope is 1
fill in
y=1x+2
or y=x+2
you can fill in any (x,y) point into this
the 3 term of a G.P is 360and the 6 term is 1215. find the common ratio and the sum of the first term pls I need d answer quickly its urgent
Answer:
First term = 160
Common ratio = 3/2
Step-by-step explanation:
The 3rd term and the 6th term of a G.P are 360 and 1215
The terms are 3 terms apart so find the cube root of the ratio between the 6th and the 3rd term as;
[tex]\frac{1215}{360} =\frac{27}{8} \\\\\sqrt[3]{\frac{27}{8} } =\frac{3}{2} \\\\\\=\frac{3}{2}[/tex]
The common ratio is : 3/2
To find the first term, divide the third term by the common ratio to get the second term then do that to the second term to get the first term
360 / 3/2
360 *2/3 = 240 -----2nd term
240/ 3/2
240 * 2/3 = 160 ------1st term
A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds. Which expression represents this situation?
Answer
i believe the answer is 16(-8)
Step-by-step explanation:
if you multiply how many inches the turtle goes DOWN which would be -8, and you multiply it by the 16 seconds you would get -128 because of the rules of multiplying integers.
Please help!
Much appreciated if anyone would help x
A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship between the number of daisies d and the number of roses r ?
Answer:
[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.
[tex]d\ \alpha\ r[/tex]
Where d = daises and r = roses
Convert the above expression to an equation
[tex]d = kr[/tex]
Make k the subject
[tex]k = \frac{d}{r}[/tex]
When d = 5 and r = 2;
[tex]k = \frac{5}{2}[/tex]
[tex]k = 2.5[/tex]
So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:
[tex]d = 2.5 * r[/tex]
[tex]d = 2.5r[/tex] ----------- (1)
Make r the subject in (1)
[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)
Hence, the relationships between d and r are:
[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]
Can anyone answer part B?
Answer:
(-3, 0) and (-1, 0)
Step-by-step explanation:
roots of the eqn = the x-intercepts (if any)
Topic: Quadratic Graphs.
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Part 1: If we double each side of the second equation, 2x+y=8 we have 4x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.
Part 2: If we add the two equations in the original system, we have 6x+7y=32. Explain why the same (x, y) pair is also a solution to this equation
PLEASE ANSWER FAST
Answer:
Step-by-step explanation:
its the same because when you simplify it the equation is the same
37x - Ꮞx^3 + 22x^4 + 11
Standard form
Given: Angle 1 and Angle 2 are complementary, and Angle 2 and Angle 3 are complementary. Prove: Angle 1 = Angle 3 Statements: Reasons 1. Angle 1 and angle 2 are complementary. 1. Given Angle 2 and angle 3 are complementary. 2. M angle 1 + m angle 2= 90 degrees 2. Definition of complementary m angle 2 + m angle 3= 90 degrees 3. ? 3. ? 4.? 4.? 5.? 5.? 6.? 6.?
Answer:
See Explanation
Step-by-step explanation:
[tex] \because \angle 1 [/tex] and [tex] \angle 2 [/tex] are complementary.
[tex] \therefore m\angle 1+m\angle 2=90\degree... (1)[/tex]
[tex] \because \angle 2 [/tex] and [tex] \angle 3 [/tex] are complementary.
[tex] \therefore m\angle 2+m\angle 3=90\degree... (2)[/tex]
From equations (1) & (2), we find:
[tex] m\angle 1+m\angle 2=m\angle 2+m\angle 3
[/tex]
[tex] m\angle 1+m\angle 2-m\angle 2=m\angle 3
[/tex]
[tex] m\angle 1=m\angle 3[/tex]
Thus proved.
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answer:
Step-by-step explanation:
x^2+20=2x move 2x to the left
x^2-2x+20=0
Quadratic formula =
x=1± i√19
Answer:
It is D on ed2020
1+-[tex]\sqrt 19 i[/tex]
Step-by-step explanation:
Please help me ASAP!!
Answer:
[tex]\huge\boxed{m\angle 1 = 131 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 2 = 49 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 3 = 112 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of angles 1, 2, and 3 here.
First off, we know that the 49° angle and m∠1 are supplementary. This means that their angle measures will add up to 180°.
Since we know one, we can find the other easily.
[tex]x + 49 = 180\\\\x = 180-49\\\\x = 131[/tex]
So m∠1 = 131°.
We also know that m∠2 is opposite to the 49° angle. This means that m∠2 is also 49°.
Now, we know that m∠3 is also opposite to the 112° angle. Therefore, their angle measures are the same, and m∠3 is also 112°.
Hope this helped!
Andre earns $12 per hour tutoring students after school. If Andre tutored for 24 hours this month, how much money did he earn this month?
Answer:
188
Step-by-step explanation:
because you will use cross multiply hours over money
1/12 and 24/m cross multiply 12x24=188
188/1= 188
Geometry 2. Congruent triangles
Answer:
pq =28
Step-by-step explanation:
you set up the equation by making them equal each other 3x+4= 5x-12 and solve From there
Help with my math hw !!
Answer:
25 visits (there are 5 visits per every 20$ spent)
Step-by-step explanation:
Hope I helped you, have a great day :)
Please help!!!!!!!!!!
Answer:
a
Step-by-step explanation: