Consider the Parallelogram
If the perimeter of the parallelogram is 60, what is the length of HG?
Answers
Answer:
The length of HG = 11 units
Step-by-step explanation:
We know that opposite sides of a parallelogram are equal.
so
EF = GHand
FG = EHGiven that
FG = 2x+5
so
EH = 2x+5
also
EF = 3x-10
so
GH = 3x-10
Given that the Perimeter of a parallelogram = 60
As the perimeter of a parallelogram is the sum of all the sides, so
FG + EH + EF + FH = 60
substituting FG = 2x+5, EH = 2x+5, EF = 3x-10, GH = 3x-10
(2x+5) + (2x+5) + (3x-10) + (3x-10) = 60
remove parenthese
2x+5 + 2x+5 + 3x-10 + 3x-10 = 60
group similar elements
2x + 2x + 3x + 3x + 5 + 5 - 10 - 10 = 60
10x - 10 = 60
10x = 60+10
10x = 70
divide both sides by 10
10x/10 = 70/10
x = 7
Therefore, the value of x = 7
Thus,
The length of HG = 3x-10 = 3(7) - 10 = 21 - 10 = 11 units
Hence,
The length of HG = 11 units
Related Questions
Find the median of the following numbers:
41, 37, 35, 43, 37, 47
A 39
B 37
C 40
D 41
Answers
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answers
Answer:
the third one
Step-by-step explanation:
x+2<-5
x<-5-2
x<-7
Step by step explanation;
x+2<-5
Subtract 2 from both sides
X+2-2 < -5 -2
Simplify
X < -7
I’m pretty sure
Can someone help me answer this geometry question
Answers
PLEASE HELP NOW! I WILL MARK YOU THE BRAINLIST
Answers
Because when worked out the answer was 300 and 3 x 10 is 30 and 30 x 10 is 300
Answer:
Its the first choice 3 x 10^2
Step-by-step explanation: hope this helps!
I need helppp on 17 only
Answers
Answer:
188 cm
Step-by-step explanation:
Which expression is equivalent to (3 / x − 2) − 5 / 2 − (4 / x − 2) ?
Answers
Answer: d
Step-by-step explanation:
25 POINTS PLEASE HELP!Which point represents the ordered pair (-2 1/4, 2/3)
Answers
Step-by-step explanation:
For the ordered pair (-2.25, 2/3),
the x value -2.25 should lie between -2 and -3.
Similarly,
The y-value 2/3 should lie between 0 and 1.
The best answer here is point S.
(If you want me to explain I can)
Hope this helps
Have a great day/night
Somebody plz help I am desperate
Answers
10. (0,-1), (2,3)
3--1=4/2-0=2
4/2=2
11. 7/10
12. -1/3
Explain how you could use the line y = x to verify the inverse of the relation
Answers
Answer:
Step-by-step explanation:
You would reflect the graph of the relation through the line y = x; this is the equivalent of mapping each point, (x, y), to (y, x).
Help me and I'll use my alt to be able to give you brainlist
Answers
Answer:
its b bc pi(d) is the circumference so u just have to reverse to find either the diameter or pi
Step-by-step explanation:
Express V in terms of T
Answers
Answer:
v = [tex]\frac{4t-1}{3}[/tex]
Step-by-step explanation:
Given
t = [tex]\frac{3v+1}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4t = 3v + 1 ( subtract 1 from both sides )
4t - 1 = 3v ( divide both sides by 3 )
[tex]\frac{4t-1}{3}[/tex] = v
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answers
Answer:
SAS
Step-by-step explanation:
It doesnt show the hypotenuse so its no HL
It doesnt show 2 angles so its not SAA or ASA
It doesnt show three sides so its not SSS
The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS
The theorem that justify why the two larger triangles are congruent is: SAS.
What is SAS?SAS means side-angle-side congruence theorem, which states that, two triangles are congruent if both have two pairs of congruent sides and a pair of congruent included angles.
Thus, the image shows two angles having:
two pairs of congruent sides - equal leg and a shared lega pair of congruent included angles - right angles.Therefore, the theorem that justify why the two larger triangles are congruent is: SAS.
Learn more about SAS on:
https://brainly.com/question/14252518
Please solve and explain how you did
Answers
Answer:
[tex]x { - 5}[/tex]
Step-by-step explanation:
You would times the 5 by the negative 1 to guve you the answer
Answer:
[tex] \frac{1}{x ^{5} } [/tex]Step-by-step explanation:
[tex]( {x}^{5} ) ^{ - 1} [/tex]
[tex] {x}^{ - 5} \: (as \: ({x}^{a}) ^{b} = {x}^{ab} )[/tex]
[tex] \frac{1}{x ^{5} } (as \: x ^{ - 1} = \frac{1}{x} )[/tex]
Who can answer this?
Answers
Answer:
nonliner and linear c.
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkkk
21 points pls help
What is the area of a rectangle with length 1/2 meters and width 6 meters?
0.5 m²
2 m²
36 m²
72 m²
Answers
Answer:
D
Step-by-step explanation:
w = 6 m
L = 1/2 m
Area = 1/2 * 6
Area = 3 m^2
Are you sure you have the givens correct? If you are hesitant about this answer, ask your instructor how it is done.
Edit
In that case (L = 12) then the area is
Area = 12 * 6
Area = 72
So the answer is D
Answer:
12 x 6 = 72
Step-by-step explanation:
How many tiles each 30cm by 30cm will be needed for floor
Answers
not possible .. what are the dimensions
Answer:
Yes not possible but with dimensions
Hers an example
Step-by-step explanation:
Since the tiles are in cm
2
, we have to convert the dimensions of the hall to cm first. It will be 1500 cm by 1200 cm. Hence the area of the floor is
1500×1200=1800000cm
2
.
Area of each tile is 30×20=600cm
2
. Hence the number of tiles required to cover the floor is:
600
1800000
=3000.
The town of Newton is mapped on a coordinate grid with the origin being at City Hall
Tavon's house is located at the point (5, 7) and Bill's house is located at (12, 3).
How far is it from Tavon's house to Bill's house?
Round your answer to the nearest whole number.
Answers
distance formula:
d = √[( x₂ - x₁ )² + ( y₂ - y₁ )²]
Given:
x₂ = 12
x₁ = 5
y₂ = 3
y₁ = 7
Solve:
d = √[( 12 - 5 )² + ( 3 - 7 )²]
d = √[( 7 )² + ( -4 )²]
d = √[ 49 + 16 ]
d = √[ 65 ]
d ≈ 8
Solve for c in the equation a=b-c/c
Answers
Answer:
[tex]a = \frac{(b - c)}{c} \\ ac = (b - c) \\ ac + c = b \\ c(a + 1) = b \\ c = \frac{b}{(a + 1)} [/tex]
hope this helps.
Show the equation y =1/
3x +7
- 7 in standard form
Answers
Answer:
1/3x
Step-by-step explanation:
Let's simplify step-by-step.
1/3x+7−7
= 1/3x+7+ (-7)
Combine Like Terms:
= 1/3x+7+(-7)
(1/3) + ( 7 + (-7)
= 1/3x
what is d^2+7 if d=8
Answers
Answer:
d²+7
8²+7
64+7
71......
Answer:
[tex] {d}^{2} + 7 \\ d = 8 \\ {8}^{2} + 7 = 64 + 7 \\ = 71[/tex]
3m3 + 4f + 4 + 2f + 2f2 + 1
5m2 + 6f + 5
B
8f2 + 3m2 + 5
3fm + 6f + 5
D
Bm3 + 27+ + 6f + 5
Answers
Answer:
the answer is 35+6f
Step-by-step explanation:
hope this helps!
The replacement value of a home is 132,000. The home is insured for 80% of its value. What is the amount of insurance coverage?
Answers
Answer:
105,600
Step-by-step explanation:
80% of 132,000 is 105,600, therefore this is how much the insurance will cover
Kevin made 3 gallons of Iced Tea for a party. How many quarts of Iced Tea did Kevin make?
Answers
Which of these could be the area of an shape?
25m
10ft^3
7ft^2
Answers
Answer:
[tex]7 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area is always in square units.
Because length times length is equal to area.
[tex]length \: ft \: \times lenght \: ft = \: area \:{ft}^{2} [/tex]
Please help, i’m so confused !
Answers
Answer:
The closest integer to the square root of 2 is 1.
Solve the following two equations. Show all of your
steps in the line paper provided. Be ready to share your
work!
Equation #1: 3x + 11 = 11
Equation #2: 3(x - 3) = 45
Answers
Step-by-step explanation:
Given that,
Two equations,
3x + 11 = 11 .....(1)
And
3(x - 3) = 45
or
3x-9=45 ....(2)
Subtract 11 on both sides of equation (1).
3x + 11-11 = 11-11
3x=0
x = 0
Add 9 to both sides of equation (2)
3x-9+9=45+9
3x = 54
x = 18
Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.
Scott and David are each solving the equation 16x − 38 = 35 − 27x.
Scott's first step was to rewrite the equation as 43x − 38 = 35, while David's first step was to rewrite the equation as 16x = 73 − 27x.
Who is correctly applying the addition property of equality in the first step of his work?
Answers
Answer:
dAVID
Step-by-step explanation:
16x = 73 - 27x is the equation in the first step.
David is correctly applying the addition property of equality in the first step of his work.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
16x - 38 = 35 - 27x
Add 38 on both sides.
16x = 35 + 38 - 27x
16x = 73 - 27x
Add 27x on both sides.
16x + 27x = 73
43x = 73
x = 73/43
Thus,
16x = 73 - 27x is the equation in the first step.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
I need help finding the length of the segment RS.
Answers
Answer:
14.25
Step-by-step explanation:
5.7*5/2=14.24*2/5, and 5.7*5/2=14.25
Sheldon purchased 289 sq ft of sod for his square-shaped yard.
What is the width of his yard?
Answers
Answer:
The width and the length are both 17 feet long.
Step-by-step explanation:
17 * 17 = 289
Solve: 40 + -58
Please help!
Answers
Answer:
-18
Step-by-step explanation:
because you take 40 + -58 and you can make the positive and negative sign a negative so now it would be 40-58
if you reverse it to make it 58-40 you would get 18 and then reverse it back to negative because you reversed it once so now its -18
