Answers
Step-by-step explanation:
Given,GRAM is a parallelogramRG = 19RP = 12AR = 15Solution:i) Since,
Diagonals of a parallelogram bisect each other so,
RM = 2 × RP
=> RM = 2 × 12
=> RM = 24 (Ans)(i)
ii) Since,
Opposite sides of a parallelogram are equal so,
GM = AR = 15
=> GM = 15 (Ans)(ii)
iii) Since,
Opposite sides of a parallelogram are equal so,
AM = RG = 19
=> AM = 19 (Ans)(iii)
Given :
GRAM is a parallelogram where
RG = 19RP = 12AR = 15Solution :
We know that,
Opposite sides of a parallelogram are equal in length.Diagonals of a parallelogram bisect each other.So,
RG = 19
⇢ RG = AM [Opposite sides]
⇢ AM = 19 .
Since,
⠀⠀RP = 12
⇢ RM = 2(RP) [Diagonals bisect each other]
⇢ RM = 2(12)
⇢ RM = 24
Since,
⠀⠀AR = 19
⇢ AR = GM [Opposite sides]
⇢ GM = 15 .
Related Questions
I need help with this problem
Answers
Answer:
U = 126°
Step-by-step explanation:
Assuming the figure is a parallelogram, opposite angles are congruent, and adjacent angles are supplementary.
V = T
10x -6 = 8x +6 . . . . substitute for V and T
2x = 12 . . . . . . . . . add 6-8x
x = 6 . . . . . . . . . divide by 2
Then V = 10(6)-6 = 54, and U is ...
U = 180° -54°
U = 126°
What is the product of (x - 5) and (x - 4)? Use the model to find the result. pls put the model answers too.
Answers
Answer:
[tex] {x}^{2} - 9x + 20[/tex]
Step-by-step explanation:
[tex](x - 5)(x - 4)[/tex]
[tex]x(x - 4) - 5( x - 4)[/tex]
[tex] {x}^{2} - 4x - 5x + 20[/tex]
[tex] {x}^{2} - 9x + 20[/tex]
Simplify the following ratios: 2.1.1) 140:24
Answers
Answer:
35/6
Step-by-step explanation:
We have, 140:24
Dividing by 4 we get 35:6
As there is no other common factor to divide with, 35:6 is the simplest form.
Nancy and Elsa like to ride bikes. The equation m=12h represents the approximate number of miles m Nancy bikes in h hours. The equation m=9h represents the approximate number of miles m Elsa bikes in h hours. How much longer will it take Elsa to bike 72 miles than Nancy?
Answers
Answer:
2 hours
Step-by-step explanation:
substitute m = 72 into both equations and solve for h
72 = 12h ( divide both sides by 12 )
6 = h
Takes Nancy 6 hours to cycle 72 miles
72 = 9h ( divide both sides by 9 )
8 = h
Takes Elsa 8 hours to cycle 72 miles
Elsa takes 2 hours longer than Nancy to cycle 72 miles
Answer:
2
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
substitute m = 72 into both equations and solve for h
72 = 12h ( divide both sides by 12 )
6 = h
Takes Nancy 6 hours to cycle 72 miles
72 = 9h ( divide both sides by 9 )
8 = h
Takes Elsa 8 hours to cycle 72 miles
Elsa takes 2 hours longer than Nancy to cycle 72 miles
Find the slope of the graph below
(1.1)
(3,0)
3
Oo
0-1/2
2/1
Answers
c. When two lines intersect, the
angles that lie on opposite sides of
the intersection point are called
vertical angles. For example, in
the diagram at the right, AED and
CEB are vertical angles. Name
another pair of vertical angles.
A
230
.19
E
DEB and AEC
9
B
d. Using the diagram at the right,
determine the measure of AEC,
DEB, and CEB if x = 23°. Show
all your work.
Answers
Answer:
AEC=BED=157°
Step-by-step explanation:
AEC + CEB + BED + x = 360°
since CEB and x are vertical angles, they are equal.
Also, AEC = BED (same reason)
therefore,
2AEC+ 23° + 23° = 360°
2AEC + 46° = 360°
2AEC = 360° - 46°
2AEC = 314°
AEC = 157°
BED also = 157°
Krista is building a pen for her bunny.
She’s planning to make it 5 feet long and 4 1/2
feet wide. She would like to build one with an
area 3 times as big as this, but she doesn’t have
the room. How long would the pen be if she could
make one that size? What would the area be?
What is the area?
Answers
Answer:
The area of the pen would be 15 feet long :)
Step-by-step explanation:
Is it likely that a randomly selected student in the 7th grade from this group will have a math grade equal to or greater than 75? Explain your answer.
Answers
P(x) = 2x3 – 3x 2 – 23x + 12
Answers
Answer:
(2x+1)(x−3)(x+4)
Step-by-step explanation:
AlMarai, a beverage company is planning to change its juice package size. Currently, there are 9 ounces of juice in each package. The new package will contain 14 ounces. What percent more juices will be in the new package
Answers
The percentage of more juices that will be in the new package is 35.71%
What are word problems?Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.
From the given information, it was stated that:
Almarai usually have 9 ounces of juice in each package, whileTheir new package will contain 14 ounces.Our objective is to find the percentage of more juice that will be in the new package.
The percentage of more juice in the new package will be:
[tex]\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}[/tex]
[tex]\mathbf{=\dfrac{5}{14} \times 100 \%}[/tex]
= 35.71%
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a) Write down the mathematical name of this shape.
Answers
Answer:
Quadrilateral as it is a four-sided ploygon, having 4 edges and corners
What is the best estimate for the sim of 3/8 and 1/12
Answers
The best estimate for the sum of the given fractions is; ¹¹/₂₄
What is the sum of both fractions?
We want to find the sum of the fractions 3/8 and 1/12.
This is expressed as;
³/₈ + ¹/₁₂
Factorizing 1/24 out, we will have;
¹/₂₄(9 + 2)
⇒ 11(¹/₂₄)
⇒ ¹¹/₂₄
Read more about addition of fractions at; https://brainly.com/question/11562149
help asap! brainlist will be given!! (geometry)
Answers
Answer:
Step-by-step explanation:
smallest: 21
medium: 72
Large: 87
Triangles always add up to 180. Subtract the 87 and 21 from the 180 and you get the missing size.
Have a good day
Help please !!!!!!!!!!
Answers
Answer: Yes
Step-by-step explanation:
Yes, since the square root of an integer (which is a real number), is a real number.
Question, what is the best Lofi song to listen to when studying?..
Answers
Answer:
boomerang by jojo siwa lol
Step-by-step explanation:
Answer:
Phonky town or Phonk music
Step-by-step explanation:
Samuel and Jacob divided £87 in the ratio 3:7. How much did Samuel get.
Answers
Answer:
Samuel get £ 26.1
Step-by-step explanation:
Data :
Money = £ 87
Ratio = 3 : 7
Ratio 3 + 7 = 10
87/10 = 8.7
Samuel has 3 ratio
8.7 × 3 =26.1
Help me please this is due today
Answers
[tex]\huge\mathtt\blue{answer}[/tex]
D) 54
Step-by-step explanation:
input f(4) into x
f(x) = x² + 8x + 6
f(4) = (4)² + 8(4) + 6
f(4) = 16 + 32 + 6
f(4) = 54
Please help me I need it
Answers
Answer:
112%
Step-by-step explanation:
percentage change value formula
c2 = X2 - X 1 X 100
X1 1
WHERE,
C2 = RELATIVE VALUE
X2 = FINAL VALUE ( TODAY'S VALUE) = 32,860
X1 = INITIAL VALUE (1992 VALUE) = 15,500
PERCENTAGE CHANGE = 100
C2 = 32860 - 15500 X 100
15500 1
= 17, 360 X 100
15,500 = 1.12 X 100 = 112%.
f(x)=x^3 −9x
What is the average rate of change of f over the interval [1,6] ?
Answers
Answer:34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 1, 6 ], thus
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8
average rate of change = = = 34
Find the cost of leveling a badminton court 132m long and 58 m broad at the rate of Rs. 80 per sq. m.
Answers
Answer:
Rs. 612,480
Step-by-step explanation:
Hi there,
Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..
So by the word leveling we know that we have to find the area of the court in order to proceed further.
(I am assuming the court to be rectangular in shape).
Area of a rectangle = Length * Breadth
*Length = 132 meters
*Breadth = 58 meters
==> 132*58= 7656 m^2
So now that we got the area of the badminton court lets find the cost of leveling it ==>
Cost of leveling per meter^2 = Rs. 80
Area = 7656 m^2
==> 7656 * 80 = 612,480
So the cost would be Rs. 612,480
If you found this answer helpful please mark me as brainliest.
A wire is attached 35 feet above the ground to a telephone pole. The wire makes an angle of 45° with the ground, as shown below. What is the length of the wire?
Answers
Answer:
The length of the wire will be 44.83 feet.
Step-by-step explanation:
From the information given, the wire is attached from the top of a 30 foot telephone pole to a stake in the ground. if the angle formed by the wire and the pole is 48°.
Therefore, the length of the wire will be:
cos 48° = 30/x
x = 30/cos 48°
x = 44.83
The length is 44.83 feet.
Length of the wire is equals to 35√2 feet.
What is angle of elevation?"Angle of elevation is defined as the angle between the horizontal plane and the line drawn through the point of observation."
Formula used
sinθ = (Opposite side) / Hypotenuse
According to the question,
Given,
Length of the pole = 35feet
Angle of elevation = 45°
Length of the wire = Hypotenuse
'l' represents the length of the wire
Substitute the value in the formula we get,
sin 45° = (35 / l )
⇒ (1 / √2) = (35 / l )
⇒l = 35√2 feet
Hence, length of the wire is equals to 35√2 feet.
Learn more about angle of elevation here
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Jackson’s backpack weighs 734 pounds. After he adds food and water to his backpack, it weighs 1134 pounds. If the water weighs 134 pounds, how much does the food weigh?
Answers
Answer: 266 lbs.
Step-by-step explanation:
First, you subtract 734 from 1134 to get 400. Then, you subtract the number of pounds the water weighs from how much the food and water weighs. So you basically do 400 - 134 to get 266.
Big Red Gymnastics Academy charges an initial fee of $ 200 to rent its gym for birthday parties. The academy then charges an additional $75 per hour. Write an equation that gives the total cost of the gym as a function of gym time (in hours).
A. y= 75x - 200
B. y= 200x + 75
C. y= 75x + 200
D. y= 200 - 75x
Answers
Answer: C. y= 75x + 200
Step-by-step explanation:
Since they charge $75 an hour x represents the house and they charge an initial fee of $200 so you add that to the $75 an hour
Answer:
C
Step-by-step explanation:
The equation y = mx + b helps use to solve this type of problem
We know the initial amount to rent the gym is $200, that will be our b for this case since it is the y-intercept. This is the y-intercept since that is the initial amount.
The slope for this equation will be 200 represented by m. The key term that represents this is out slope is per. "$75 per hour." Since the function is in hours we don't need to convert hours into another unit.
Now if we plug in the variables, we get the equation y = 75x + 200 which is what C is.
1 1/2 divided by (4 1/2- 5 1/8) =?
Answers
Answer:
12
Step-by-step explanation:
4 1/2 - 5 1/8 =5/8 divided by 7 1/2 = 120/10 which is simplified as 12
Which set of ordered pairs does not represent a function
Answers
Answer:
The last one (-2,-6),(-1,2),(-2,-7),(6,6)
Step-by-step explanation:
Because there are no pairs with the same x value
Answer:
(D) { (-2, -6), (-1,2), (-2, -7), (6,6)}
Step-by-step explanation:
Guide :-functions do not have the same x
:- SolutionAnswer : D
{ (-2, -6), (-1,2), (-2, -7), (6,6)}
Because the set has two the same x, i.e. -2
(-2,-6) and (-2, -7)
____________________
16. An initial investment of $10,000 grows at 11% per year. Calculate its value after 5 years.
Show work please
Answers
Answer:
16850.58 (2DP)
Step-by-step explanation:
Compound Interest Formula = P(1 + [tex]\frac{r}{100}[/tex])^t
P = 10,000
Rate = 11%
Time = 5 years
10000(1.11)^5 = $16850.58
Which equation correctly shows this statement:
8 times as many as 22? (3 points)
22 ‒ 8 = ________
8 + 22 = ________
22 ÷ 8 = ________
8 x 22 = ________
Answers
Answer: the last choice
Step-by-step explanation:
times in the statement indicated multiplication so the answer is D or 8 x 22
22-8=14
8+22=30
22÷8=2.75
8x22=176
What is the greatest common factor, GCF , of 238 and 462?
A. 2
B. 7
C. 14
D. 21
Answers
Answer:
c.14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
To get the Greates Common Factor (GCF) of 238 and 462 we need to factor each value first and then we choose all the copies of factors and multiply them:
238: 2 7
462: 2 3 7
GCF: 2 7
The Greates Common Factor (GCF) is: 2 x 7 = 14
The point StartRoot x EndRoot is plotted on the number line. A number line going from 9. 8 to 10. 7. StartRoot x EndRoot is plotted slightly to the left of 10. 2. What whole number best approximates the value of x? 100 102 103 104.
Answers
Function assigns the value of one set to another. The whole number that best approximates the value of x is 10.
What is Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given that the point √x is plotted on the number line. therefore, the value of x is in square root. Now, in order to get a whole number out of this point function, we need the value of x should be such that when it goes through the function the outcome must be a whole number. therefore, let's substitute the value of x in the function,
A.) 100
[tex]\sqrt{x} = \sqrt{100} = 10[/tex]
B.) 102
[tex]\sqrt{x} = \sqrt{102} = 10.099[/tex]
C.) 103
[tex]\sqrt{x} = \sqrt{103} = 10.149[/tex]
D.) 104
[tex]\sqrt{x} = \sqrt{104} = 10.198[/tex]
As we can see, when the value of x is 100, only then the outcome of the point function is a whole number.
Hence, the whole number that best approximates the value of x is 10.
Learn more about Function:
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Put these into Slope-Intercept Form
x – y = –2
x – y = –4
Answers
Answer:
y=x+2
y=x+4
slope intercept form is y=mx+b