The perimeter of the rectangle ABCD is 30 cm. Three other rectangles are placed so that their centres are at the points A, B, D. The sum of their perimeters is 20 cm. What is the total length of the thick line?
Answers
Answer:
Step-by-step explanation:
The perimeter of ABCD is 30cm
The Sum of the perimeter of three rectangles at the corner is 20cm.
following the variables as the same as you assigned
large rectangle: u by v
rectangle center A: 2a by 2b
rectangle center B: 2c by 2d
rectangle center D: 2e by 2f
2 equations (from the givens):
2u+2v=30
2(a + b + c + d + e + f )= 20
now to find the length
a+b+a/2+b/2+(v-b/2-d/2)+c/2+d+c+d/2+(u-c/2)+(v-f/2)+e/2+f+e+f/2+(u-e/2-a/2)
which is (a+b+c+d+e+f)+u+v+u+v = 10+30=40
Related Questions
Is 1/4 equivalent to 1/8
Answers
Answer:
No.
Step-by-step explanation:
1/4 is equivalent to 2/8, but not with 1/8.
Answer:
No.
Step-by-step explanation:
To find equivalent fractions, multiply the numerator and denominator by the same number.
Start with 1/4.
Multiply the numerator and denominator by 2.
You get 2/8.
2/8 is an equivalent fraction to 1/4.
2/8 and 1/8 are not equivalent.
Answer: No.
Is it A, B, C, or D?
Answers
Answer:
The answer is C.
which algebraic expression represents the number of cups of dog food per week needed to feed 3 dogs if each dog eats x CUPS per day
A 7+3x
B 7(3x)
C 7x
D 21÷x
Answers
This is because you have 3 dogs multiplied by x the number of cups. Because there are seven days in a week and you want to know about the entire week you then multiply the 3x by 7.
AM LACKING TIME
What operation would you use for your exponents when raising a power to a power
a
Division
b
Addition
c
Subtraction
d
Multiplication
Answers
Answer:
d multiplication
5. The measure of the second angle of a triangle is 20 more than the measure of the first, and the measure of the third angle is 10 less than three times the first. What is the measure of each of the three angles of a triangle?
Answers
So first we have to find equation form angles.
Let :-first angle of triangle be xPart one :-Statement :- The measure of the second angle of a triangle is 20 more than the measure of the first.
Equation :-
second angle = 20 + x
{ Remember people get's confused when to multiply and when to add. when ever there "more than" then we will add and when there is ,"times" we will multiply}
Part 2 :-Statement :-
the third angle is 10 less than three times the first
Now just see first less means we have to subtract 10 from 3 times the first means 3 × first angle.
Equation :-
third angle = 3x - 10
Part 3 :-Now let's represent :-
First angle be ∠1Second angle be ∠2third angle be ∠3We know sum of angles of triangle is equal to 180°
So :-
∠ 1 + ∠ 2 + ∠ 3 = 180°x + 3x - 10 + 20 + x = 180°4x - 10 + 20 + x = 180°5x - 10 + 20 = 180°5x + 10 = 180°5x = 180° - 10°5x = 170x = 170/5x = 34°Measure of angles :-
∠1 = x∠ 1 = 34°∠2 = 20 + x∠2 = 20 + 34°∠2 = 54°∠3 = 3x - 10∠3 = 3 × 34 - 10∠3 = 102 - 10∠3 = 92°[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given in the question that, The measure of second angle is 20 more than the measure of first angle The measure of third angle is 10 less than three times the first. To Find :- We have to find the measure of all the three angles of triangle. Let's Begin :-Let the first angle be x
According to the question,
Second angle = x + 20[ 2nd angle is 20 more than the first angle ]
Third angle = 3x - 10[ 3rd angle is 10 less than thrice times the first angle ]
By using Angle sum property
It states that the sum of the angles of triangles are equal to 180°That is,
[tex]\sf{ x + ( x + 20) + ( 3x - 10) = 180{\degree}}[/tex]
[tex]\sf{ x + x + 20 + 3x - 10 = 180{\degree}}[/tex]
[tex]\sf{ 5x + 10 = 180{\degree}}[/tex]
[tex]\sf{ 5x = 180 - 10}[/tex]
[tex]\sf{ 5x = 170}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 170}{5}}}[/tex]
[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 170}{5}}}}[/tex]
[tex]\bold{ x = 34{\degree}}[/tex]
Thus,
The first angle is 34°The second angle [tex]\sf{ = 34 + 20}[/tex][tex]\bold{ = 54{\degree}}[/tex]The third angle [tex]\sf{ = 3(34 ) - 10}[/tex][tex]\sf{ = 102 - 10}[/tex][tex]\bold{ = 92 {\degree}}[/tex]Hence, The three angles of the given triangle are 34° , 54° and 92°
[tex]\bold{\huge{\underline{ Verification }}}[/tex]
Here, we have
The first angle = 34°The second angle = 54°The third angle = 92°By using Angle sum property :-
[tex]\sf{ 34 + 54 + 92 = 180{\degree}}[/tex]
[tex]\sf{ 88 + 92 = 180{\degree}}[/tex]
[tex]\sf{ 180 = 180{\degree}}[/tex]
[tex]\bold{ LHS = RHS }[/tex]
Hence, Verified
Given AC=BD, and AB and CD bisect each other. Prove: <A = <B
Answers
Step-by-step explanation:
so <A=<B
Hope it helps
for any question comment me ❤❤❤
Elliot's dinner bill, including a 15% tip, is $12.65. what was the amount of the bill before the tip?
Answers
Answer:
Step-by-step explanation:
Very simple, if the total was $12.65, and they included a 15% tip, so we do 12.65 *15%=1.8975
So we subtract that by 12.65 and our answer is approximately $10.75
Answer:
The Correct Answer Is : 11
Step-by-step explanation:
I Just Took The Test
Find the area of the figure. Use 3.14for.
18 m
22m
The area of the figure is about ____ m2
Answers
Area of triangle = 1/2 x base x height
Area of the triangle = 1/2 x 22 x 18 = 198 square m.
Area of semi circle = 1/2 x PI x r^2
Area of semi circle = 1/2 x 3.14 x 11^2 = 189.97 square m.
Total area = 198 + 189.97 = 387.97 square m.
Round up to 388 square m.
Susan walked 1 2/3 miles in 1 1/4 hours how many miles Susan walked in 1 hour
Answers
Answer: 3/4 of a mile
Step-by-step explanation:
Solve each one
Thank you!
Answers
hope this helps! sorry if it didnt
pls give me the correct answer and solution
due date : 1:30pm
Answers
Answer:
where's the question?
Step-by-step explanation:
carry on laern
Find the area of the shaded region of circle F below. Round your answer to the
nearest tenth if necessary.
Answers
Check the picture below, so the shaded area is really just the area of one quarter of a circle's area with a radius of 7, and a triangle whose base is 7 and height is 7, so let's simply sum both of them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{quarter of a circle}}{\cfrac{1}{4}(\pi)(7)^2}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(7)}}\implies \cfrac{49\pi }{4}~~ + ~~\cfrac{49}{2}~~ \approx~~63.0[/tex]
15. Find the value of x.
(68 - x)
3x
Answers
Answer:
17=x
Step-by-step explanation:
In this case, we need to use Vertical Angles Theorem to solve this problem. Basically, because of the position of the angles, they are congruent.
68-x = 3x
Add x to both sides
68=4x
Divide by 4
17=x
Hope this helps!
Answer:
The value of 'x' is: 17°
Step-by-step explanation:
From what is being shown, there are two angles that are given:
(68 - x)°
3x°
Since they are congruent angles, meaning they are equal to each other, they will be put into a(n) equation such like shown below:
(68 - x)° = 3x°
(Then remove the parenthesis)
68° - x° = 3x°
+ x°=+3x°
------------------
68° = 4x°
------------------
(Divide both sides by 4)
[tex]\frac{68}{4} = \frac{4x}{4}[/tex]
------------------
17° = x
------------------
Your value of 'x' is 17.
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of speed of the jet?
Answers
Answer:
235 miles per hour and 2,115 miles in 9 hours
Step-by-step explanation:
First determine how many miles the jet files in one hour:
470/2 =235 miles/hour
We want to know how many hours the jet could fly in 9 hours, so we multiply this value by 9.
235 x 9 = 2115 miles
Therefore, the jet could fly 2115 miles in 9 hours.
The instructions for making iced tea say to mix
4 tablespoons of the drink mix with every 2 cups of water.
If Marie is making iced tea for a party, how much drink mix will she need if she is using 8 cups of water?
Answers
A race car game takes 6 points from a player each time the player hits a cone. What integer represents the change in total points if the player hits 10 cones?
Answers
Given:
A race car game takes 6 points from a player each time the player hits a cone.
To find:
The integer which represents the change in total points if the player hits 10 cones.
Solution:
According to the given information,
1 hit = -6 points
Here, negative sign represents the reduction in points after hitting a cone.
If the player hits 10 cones.
(1 × 10) hit = (-6 × 10) points
10 hit = -60 points
So, the change in total points if the player hits 10 cones is -60.
Therefore, the required integer is -60.
Answer: 60
Step-by-step explanation:
based on the given conditions, formulate:
Calculate the product or quotient: 60
get the result Answer: 60
Good luck
hello people ~
A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.
Answers
Answer:
1000 tiles required.
explanation:
area of rectangle = Length * Width
Tiles dimension:
length: 1 meterwidth: 2 meterFloor dimension:
length: 50 meterwidth: 40 meterArea of floor:
Length * Width
50 * 40
2000 m²
Area of each tile:
Length * Width
1 * 2
2 m²
Number of tiles required = Area of floor ÷ Area of each tile
→ tiles = 2000/2
→ tiles = 1000
See below.
1000
area of rectangle = width x length
Given: width of floor = 40 m length of floor = 50 m ⇒ area of floor = 40 x 50 = 2000 m²
width of tile = 1 m length of tile = 2 m ⇒ area of tile = 1 x 2 = 2 m² Number of tiles needed = area of floor ÷ area of one tile = 2000 ÷ 2 = 1000
I tried.
The equations below were created by students who were asked to write equivalent expressions on either side of the equals sign. Imagine you are a teacher. Your job is to decide whether their work is right or wrong. If you see an equation that is false, then: Say it is False. Then how you know it is false. 2(n + 3) = 2n + 3 *
Answers
Answer/Step-by-step explanation:
Given that a student wrote the following equation:
[tex] 2(n + 3) = 2n + 3 [/tex]
Looking at the expression on both sides, they don't seem equal. To be sure, use any value to represent "n" in the equation. Then, simply. If what you have on your left is equal to what you have in your right, then the equation is TRUE. If otherwise, it is FALSE.
Let n = 2
[tex] 2(n + 3) = 2n + 3 [/tex]
[tex] 2n + 6 = 2n + 3 [/tex]
Plug in the value of n
[tex] 2(2) + 6 = 2(2) + 3 [/tex]
[tex] 4 + 6 = 4 + 3 [/tex]
[tex] 10 = 7 [/tex]
This is not FALSE. 10 ≠ 7.
Therefore, the equation written by the student is FALSE.
Find the equation of a line that passes through the point (-3,-1) and has a gradient of -2. Leave your answer in the form y = m x + c
Answers
Answer:
Step-by-step explanation:
y-y1 = m (x-x1), where (x1,y1) is the point the line passes through and m is the slope
y-(-1) = 2 (x-3)
y+1 = 2x - 6
What is the median?
5, 10, 8, 9, 9, 9
TYPE ONLY THE NUMERIC ANSWER
Answers
Answer:
9
Step-by-step explanation:
5, 8, 9, 9, 9, 10
(9+9)/2=9
Answer:
3n
5,10,8,9,9,9
= 5 , 1 , 0
5-1=4 - 1 3
Sara buys 2 pounds of grapes every
8
week for 12 weeks. How many pounds of
grapes did Sara buy over the 12 week
period?
Answers
Answer:
I think 24 weeks that's my answer
You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answers
Answer:
Okay, here's the method I'm going to use.
If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.
19 miles
l_______________
6 milesl
l
You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 19^2 = c^2
36 + 361 = c
397 = c
[tex]\sqrt{397}[/tex] = 19.924859
Rounded to the nearest tenth, your answer is
19.9 miles
What is the distance between (-2,1) and (-1,2) on a coordinate plane
Answers
Answer:
√2 or 1.414
Step-by-step explanation:
the distance between two points
I'm being super dumb right now and request assistance
2+(-3/5)
Answers
Answer: 2+(-3/5) = 1.4
Step-by-step explanation: Remember work what is in the parentheses first!
Simplify the expression.
Exact Form: 7/4
Decimal Form: 1.4
Mixed Number Form: 1 2/5
Answer:
[tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Equation: [tex]2-\frac{3}{5}[/tex]
1). Convert to fraction: [tex]\frac{2*5}{5}-\frac{3}{5}[/tex]
2). Same denominators = combine fractions
[tex]\frac{(2*5)-3}{5}=\frac{7}{5}[/tex]
The radius of a circle is 5 miles. What is the length of a 135° arc?
Answers
Answer:
75
Step-by-step explanation:
an arc is half a circle
HELP ASAP I give total 100 points and big brain!! answer these pless
1.A system of equations consists of two lines. One line passes through (0, 4) and (1, 7) . The other line passes through (−1, −5) and (5, 13) .
Does the line through the first pair of points intersect the line through the second pair of points?
yes or no
2.
Select the correct choices to complete the sentence.
A system of equations consists of two lines. One line passes through (0, 2) and (9, −1) . The other line passes through (12, 7) and (−6, −5) .
Does the line through the first pair of points intersect the line through the second pair of points? yes or no
Answers
Step-by-step explanation:
Find the slopes of the lines and compare. The lines intersect if slopes are different.
Q1Slopes are
[tex]m_1= (7-4)/(1-0)=3\\[/tex][tex]m_2= (13+5)/(5+1)=3\\[/tex]Slopes are same, lines are parallel
Q2Slopes are
[tex]m_1= (-1-2)/(9-0)=-3/9=-1/3\\[/tex][tex]m_2= (-5-7)/(-6-12)=-12/-18=2/3\\[/tex]Lines intersect as slopes are different
Slopes must not be equal to get intersection
#1
For first line
m=7-4/1-0=3/1=3For second
m=13+5/5+1=18/6=3No,Parallel
#2
First
m=-1-2/9-0-3/-9=1/3Second
m=-5-7/-6-12=-12/-18=2/3Yes, Intersect
Find 12.48+(-10.636) Write your answer as a decimal.
Answers
Answer:
1.844
Step-by-step explanation:
easyy
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answers
Help meeeeeeeeeeeee question 1 !!!!
Answers
Answer:
7 times $8 = 56
Step-by-step explanation:
Question 1:
So, we are going to multiply 7 by $8.
If Brandie earns 8 dollars an hour, then we can multiply 8 by 7 to find out how much money Brandie earns in 7 hours.
Now multiply 8 by 7.
8 * 7 = 56
The independent variable is the hours. The hours can change, but this affects what the dependent result is.
The amount of money stays the same.
The dependent variable is the result, which is the total amount of money earned.
Hope this helps!
Select the reason that best supports Statement 6 in the given proof.
Answers
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.