Answer:
[tex]x = 3.3cm[/tex]
Step-by-step explanation:
Given
Shape: Pentagon
Small
[tex]Bottom = x[/tex]
[tex]Left = 7cm[/tex]
Big
[tex]Bottom = 7cm[/tex]
[tex]Left = 15cm[/tex]
Required
Find x
From the question, we understand that the big pentagon is a dilation of the small pentagon.
What this means is that; both pentagons will have the same equivalent ratio.
The equivalent ratio, in this case is calculated using
[tex]Ratio = \frac{Bottom}{Left}[/tex]
For the small pentagon:
[tex]Ratio = \frac{x}{7cm}[/tex]
For the big pentagon:
[tex]Ratio = \frac{7cm}{15cm}[/tex]
Equate both ratios:
[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]
[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]
Cross multiply
[tex]15 * x = 7cm * 7[/tex]
[tex]15 * x = 49cm[/tex]
Make x the subject
[tex]x = \frac{49cm}{15}[/tex]
[tex]x = 3.267cm[/tex]
[tex]x = 3.3cm[/tex] --- approximated
Answer:
The answer should be 3.3
Step-by-step explanation:
I'm taking the test right now.
What is the image point of (4,-7)(4,−7) after a translation right 4 units and up 5 units?
The new coordinate of point (4,−7) after a translation right 4 units and up 5 units is (8,-2).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the point (4,-7)
If we transformed any point (x,y) to 4 units right then it will add in x so x + 4, and 5 units up then it will add in y so y + 5.
So,
4 units right → 4 + 4 = 8
5 units up → -7 + 5 = -2
So the new coordinate will be (8,-2)
Hence "The new coordinate of point (4,−7) after a translation right 4 units and up 5 units are (8,-2)".
To learn more about the transformation of graphs,
brainly.com/question/3099136
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HELP PLEASE (i will give brainliest!)
Three years ago, Jolene bought $675 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 3 5 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
= $963.65
Step-by-step explanation:
Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years
$675 x [1 + (12 + 3/5% ) ]^3 =
$675 x ( 1 + 0.126)^3 = $963.65
Which side has a length of 10 units?
Answer:
I'm not honestly for sure but i'm guessing the side G, J because it is the longest!
Hope this helps,
0Drink0Milk0
it is Gj your welcome it has to be
Solve the inequality *
5< -2x + 5 < 25
Answer:
[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]
Step-by-step explanation:
[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]
Expand and simplify
(x + 3)(x + 5)
Answer:
x^2+8x+15 this is it simplified
Solve this question please
a) distance
b) displacement
c) scalar
d) vector
please help me answer this
(trigonometry) write the tangent ratios for angle P and angle Q. if needed reduce fractions
Answer:
Step-by-step explanation:
tan P = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
tan Q = [tex]\frac{3}{4}[/tex]
What are the solutions of the inequality?
-4(-2x+3) > 8x – 14
can someone explain why it’s infinitely many solutions?
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
Victor scored a 9, 7, and 10 on his first three math tests. What score must he get
on his fourth test to have a score of at least 34 points?
A. ≥ 8
B. 9
D. > 8
PLSS SHOW YOUR WORK PLSS
Answer:
9
Step-by-step explanation:
9+10+7=26. 9+26=35 so he has 35 points which is more than 34. hope this helps
PLEASE HELP!! GIVING BRAINLIST TO WHOEVER ANSWERS
The sum of the digits of a given two digits the new numbers is 5 .if the digits are reversed, the new number is reduced by 27 . find the given number
Answer:. The numbers are 41 and 14
Step-by-step explanation: X and Y represent the digits. In the Tens place, the digit has 10× its base value. Therefore we can set up equations to model the information given:
10x+y = 10y + x +27
X + Y = 5
y =5-x rewritten to substitute for y
10x + 5-x = 10(5-x)+x +27
Distribute and then combine like terms:
9x +5 = 50 - 9x +27
Add 9x to both sides; subtract 5 from both sides.
9x +9x = 50+27-5
18x = 72 Combine like terms. Then divide both sides to solve for x.
x = 4
4+y=5 Substitute 4 for x; solve for y.
y=1
Substitute values of x and Y into the original equation and check.
40 +1 = 10 +4 + 27
41 = 14+ 27
True! 41=41
The numbers are 41 and 14.
What is the distance between the points (4, -2) and (1, 2)
Step-by-step explanation:
because
so √(-3)²+(4)²
√25=5
Is the following statement true or false?
The triangle proportionality theorem only applies to right triangles.
A.) False
B.) True
Answer:
A.) False
Step-by-step explanation:
The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.
Answer:
I think it's actually True
Step-by-step explanation:
The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.
What is the volume of a right circular cylinder with a radius of 6 m and a height of 9 m?
54π m³
108π m³
324π m³
486π m³
Please Help.
Answer:?
Step-by-step explanation:
Answer:
324pi
Step-by-step explanation:
Volume = r^2*pi*h = 6^2*pi*9 = 324pi
We have to fill in all the boxes in order for me to submit. PLEASE HELP!!
Answer:
2 and 3 maybe?
Step-by-step explanation:
4 divided by 57 please help
Answer:
0.07017
Step-by-step explanation:
−9,000÷3=−3,000 What does -3,000 tell me
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
a bus travels 320 miles in 6.4 hours. if the bus continues at the same rate, which proportion can be used to find m, the number of miles the bus will travel in 9 hours.
Answer:
A
Step-by-step explanation:
Ok first we need to find rate of MILES per HOUR
320/6.4=50
m= miles in 9 hours
9*50=450
Cross Multiplyis your answer
A
(6.4*9)/320m=Hours/miles
Hope this helps!
The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.
We know that speed is the ratio of distance and time. Then we have
The number of miles the bus will travel in 9 hours will be
320 / 6.4 = m / 9
6.4 / 320 = 9 / m
Then the correct option is B.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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25. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
Atile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
HELP PLS
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27 13,895.98
01/28 13,881.93
01/29 13,954.4
01/30 13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
a loss of 72.47
Step-by-step explanation:
I got this answer right on my test
Lisa needs 250 yards of yarn to knit a hat. She has 185 yards of yarn and needs to buy the rest. How many yards of yarn does she need to buy?
Use the variable y to represent the number of yards of yarn she needs to buy.
Which equation represents this situation and its solution?
250y = 185; y = 55
y + 185 = 250; y = 65
y + 250 = 185; y = 65
185y = 250; y = 55
Answer:
it's answer is y + 185 = 250; y = 65
hope it helps you
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer...
Answer:
v
Step-by-step explanation:
the first letter of volume is v, therefore it would be the most meaningful.
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
Express in the form 1:1.
Give 12 as a fully simplified fraction
8:6
Step-by-step explanation:
[tex] \frac{1}{1} = 1:1[/tex]
[tex] \frac{2}{2} = 1:1[/tex]
[tex] \frac{3}{3} = 1:1[/tex]
[tex] \frac{4}{4} = 1:1[/tex]
[tex] \frac{5}{5} = 1:1[/tex]
[tex] \frac{6}{6} = 1:1[/tex]
[tex] \frac{7}{7} = 1:1[/tex]
[tex] \frac{8}{8} = 1:1[/tex]
[tex] \frac{9}{9} = 1:1[/tex]
[tex] \frac{10}{10} = 1:1[/tex]
[tex] \frac{11}{11 } = 1:1[/tex]
[tex] \frac{12}{12} = 1:1[/tex]
is -32/8 an integer...??? Pleaseeee helpppp meeee
Answer:
yes
Step-by-step explanation:
-32/8 = -4
-4 is an integer
The temperature in some region of Alaska equals 14 °F Convert this temperature to Celsius
Answer:
-10 degrees C
Step-by-step explanation:
Describe the end behavior of the following exponential function f(x)=3
Answer:
the correct answer would be the 2nd one !! please make me most brainlessly!!!
Can someone pretty please help me... it’s only 2 questions! :(
Answer:
9. C 10. C
Step-by-step explanation:
Please gimme brainliest
Answer: c for both
Step-by-step explanation:
Promote means support, and the “general welfare” is the general good of the people.
The Preambles of the constitution at the beginning of it, so it couldn’t be a a conclusion, and there were no indexes in the Constitution. It had to be a summary or an introduction, Ndola it’s an introduction, it did not explain everything in the document like a a bunch, but it did state that it was a constitution.
Also, the question end should with an, so it had to be an answer starting with a vowel, so one of the last two, since the last one I saw wrong, it had to be c.