30 points!!! The polygons in each pair are similar. Find the missing side length. *
Answers
After applying the similarity concept in the given polygons the length of the missing side we get 24 units.
The similarity of two polygons refers to the property of having the same shape but possibly different sizes.
Two polygons are considered similar if their corresponding angles are equal, and the ratio of the lengths of their corresponding sides is constant.
Labeling the given figure we have:
AB = 30
EF = 25
EH = 20
Let the missing side AD = x
Applying the similarity concept we get,
[tex]\frac{AB}{AD} = \frac{EF}{EH}[/tex]
Put the values we get,
⇒ [tex]\frac{30}{x} = \frac{25}{20}[/tex]
⇒ [tex]\frac{30}{x} = \frac{5}{4}[/tex]
⇒ x = 24
Hence,
The length of a missing side AD is 24 units.
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Related Questions
Two angles are complementary. One of the
angles measures 15°. What is the measure of
the second angle
Answers
Answer:
75
Step-by-step explanation:
Complementary Angles always add up to 90 degrees
so the answer is 75
Please give me the correct answer.Only answer if you're very good at math.
Answers
Answer:
0.5
Step-by-step explanation:
It is increasing 0.5 as a topping is added
Melissa buys a Television set whose marked prize was rupees 45000 , her then gets a discount of 15% and pants a sales tax of 12% , how much does he pay for the television set
Answers
Answer:
43650 rupees
Step-by-step explanation:
Discount = D
Tax : T
D = 15% of 45000
D = (45000 x 15) ÷ 100
D = 675000 ÷ 100
D = 6750 rupees
The price after the discount :
45000 - 6750 = 38250 rupees
T = 12% of 45000
T = (45000 x 12) ÷ 100
T = 540000 ÷ 100
T = 5400 rupees
Melissa will pay :
(45000 - 6750) + 5400
= 38250 + 5400
= 43650 rupees
Find the x- and y-intercepts of the graph of 4x + 4y = 20. State your answers as
whole numbers or as improper fractions in simplest form.
Answers
Answer: x-intercepts = (5,0)
y-intercepts = (0,5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 4x=20 for x
Plug x=0 into the equation and solve the resulting equation 4y=20 for y
*PLEASE ANSWER I DONT GET IT*
What is a deduction?
a.) An allowance you can use for tax purposes.
b.) Money that you have to pay for Medicare.
c.) Part of your salary.
Answers
Answer:
A
Step-by-step explanation:
im pretty sure im right
Answer:
c.) Part of your salary.
Step-by-step explanation:
Helpp I'm
struggling on both of these questions !! I'm in my last questions!!
Answers
Show your work on a separate sheet of paper then choose one answer choice.
5x - 7 = 4x - 1?
Answers
Answer:
x= 6
Step-by-step explanation:
Isolate all variables on their own and numbers on the other
5x -4x +7-7 = -1 +7 +4x -4x
5x -4x = -1+7
Solve for x
x = 6
Is the answer one solution, infinite solutions or no solution?
Answers
Answer:
infinite
Step-by-step explanation:
after distributing:
56x-40 = 56x-40
if both sides are equal then there are infinite values of 'x' that will make the equation true
Answer:
Step-by-step explanation:
infinite solutions
(−∞,∞)
||
o34
38
o33
оз10
Y’all what this is ?
Answers
Answer:
i think its the 3rd one im sorry if im wrong
Step-by-step explanation:
Which of the following angle relationships in △ABC are correct? Select all that apply. There is a triangle ABC in which the length of side AB is 3.1, the length of side BC is 3, and the length of side AC is 2.9.
A. m∠A < m∠C B. m∠B = m∠C C. m∠A < m∠B D. m∠B < m∠A < m∠C
Answers
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The sides in order from smallest to largest are ...
AC, BC, AB
Then the opposite angles in order from smallest to largest are ...
B, A, C
Let's consider the choices:
A. m∠A < m∠C --- true
B. m∠B = m∠C --- true
C. m∠A < m∠B --- false
D. m∠B < m∠A < m∠C --- true
−3(y−8)=33
What is the value of y?
Answers
Answer:
44
Step-by-step explanation:
-3(y-8)= 33
+3 +3
y - 8 = 36
+ 8 + 8
y = 44
. Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did the class collect in all? *
$6.75
$130
$140
$2700
Answers
I know $135 is 5%, so $270 is 10% (because 5% + 5% = 10%). If you know what 10% of an amount is, you can just multiply that number by 10 to get to 100%. 270x10=2700
Another way to do this would be to say an unknown number, x, times 5% (0.05) equals $135. That equation would be 0.05x=135. Divide each side by 0.05 to get x = 2700
I hope this helps!
Rectangular field that measure 2 feet by 18 inches
Answers
Answer:
432 square inches
Step-by-step explanation:
thats the area, perimiter is 84 inches
Answer:
Area: 24*18= 432 inches squared
Perimeter: 18+18+24+24= 84 inches
Step-by-step explanation:
2 feet can also be 24 inches
HELP PLEASEEEEE AND THANK YOUU !!!!!!!!!
Answers
The circle below has center H. Suppose that =m∠FHG64°. Find the following.
Answers
Answer:
(a) m FG = 64°
(b) m ∠FEG = 32°
Step-by-step explanation:
m∠FHG64° = m FG = 64°
m ∠FEG = 32° is half of m∠FHG64°
Solve the following proportions X/5=8/120
Answers
Answer:
x 1/3
Step-by-step explanation:
Can someone help with B please.
Answers
———
3x+2
Steps:
Factor 3x^2 + 13x - 10: (3x -2)(x + 5)
(3x -2)(x+5)
= —————
9x^2 - 4
Factor 9x^2 - 4 (3x - 2)(3x-2)
The slope of the line that passes through the points (6, w) and (10, 4) is 8. What is the value of w?
Answers
Answer:
My student the slope paserea the Pointe 6w and 10,4 is8
To find slope, you would use the equation
y-y1/x-x1
So: 4-w/10-4
We know it must equal 8 so let’s set is equal to 8 and solve :D
4-w/10-6=8
4-w/4=8
4-w=32
-w=28
w=-28
please help due today!!!!!
Answers
HELP FAST!!
The order in which you add or multiply two values doesn't affect the outcome is what property?
Answers
Answer:
Commutative Property
Step-by-step explanation:
The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product.
:)
Write an equation for the nth term of the arithmetic sequence. Then find a10.
−3,−6,−9,−12,...
an=
a10=
Answers
Answer:
-3n
a10= -30
Step-by-step explanation:
the distance between -3 and -6 is 3.
if you multiply 3 by the 1st term, it's just 3, so the 3 needs to be a -3.
For a10, you plug in 10 into the equation which is -3n. and that is -30.
An inspector of school have wishes to distribute 84 balls and 180 bats equally among the number of boys . Find the greatest number recieving the gift in this way
Answers
Answer:
12 boys
Step-by-step explanation:
Given that:
Number of balls to be distributed = 84
Number of bats to be distributed = 180
To obtain the greatest number of boys receiving these items ; obtain the Highest common factor of both numbers ;
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180
The highest common factor here is 12, hence the greatest number of boys receiving the gifts is 12.
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=11°, and NO = 80 feet. Find the length of OM to the nearest tenth of a foot. Please show work.
Answers
Answer:
OM = 411.56 ft
Step-by-step explanation:
tan 11 = 80/x
0.1944 = 80/x
x = 411.56 ft
An iPhone costs £750 in London, €800 in Paris and $1,050 in New York.
Using £1 = €1.14 and £1 = $1.39, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
Answers
Answer:
The iPhone is cheapest in Paris, where it costs £701.75.
Step-by-step explanation:
Divide each price by the conversion factor.
[tex]\text{London: } \£750\\\text{Paris: } \text{EUR }800/1.14=\£701.75\\\text{New York: } \$1050/1.39=\£755.40[/tex]
24. Jeremiah is building a fence around his swimming pool 25 yards long
using standard fencing that is 48 inches high. What additional information
is necessary to determine the number of fence posts he will need?
A) The length of each post
B) The distance between posts
C) How deep the posts will be set
OD) The number of feet in a roll of fencing
Answers
HELP ILL GIVE BRAINLIEST
Answers
Answer:
-5/7
Step-by-step explanation:
Do you want one?
Answer: -5/7
Step-by-step explanation:
Which of the following is an extraneous solution of V-3x-2-X+2?
O x=-6
O x = -1
O X = 1
O x = 6
Answers
Answer:
x = 6 aka A is the correct answer supposedly
The value of x for the given expression is x = -6. The correct options are A and B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given expression is √( -3x - 2 ) = x + 2.
The expression will be solved as,
√( -3x - 2 ) = x + 2.
Squaring on both sides,
-3x - 2 = ( x + 2 )²
-3x - 2 = x² + 4x + 4
x² + 7x + 6 = 0
Solve the above quadratic equation,
x² + 7x + 6 = 0
x² + 6x + x + 6 = 0
x ( x + 6 ) + 1 ( x + 6 ) = 0
( x + 6 ) ( x + 1 ) = 0
The solution of the expression is x = -6, and x = -1.
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HELP ASAP!!! TIME LIMITED!!!!!!!
Which expression is represented by the diagram?
Answers
Answer:
-10-(-4)
Step-by-step explanation:
HELP!!! 30 points!!!
Answers
Answer:
x=55
Step-by-step explanation:
360= 90+90+125+x
x=55
Answer:
55
Step-by-step explanation:
x + 125 = 180 {Co interior angles}
Subtract 125 form both sides
x = 180 - 125
x = 55
Yesterday, Lauren went to see a special exhibit at an art museum. she left her house at 6:30 A.M. It took Lauren 30 minutes to walk to the subway station. Lauren rode the subway for 45 minutes and then walked 15 minutes to the art museum. What time did Lauren arrive at the art museum?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Plz answer correct and not put answers that are not even answers or I will report!!. My grade depends on these answers!! :(
Answers
Answer:
They will arive at 8pm