Answer:
C
Step-by-step explanation:
The congruency statement ∠ C ≅ ∠ G is the only true statement.
So option C is the correct option.
Given,
parallelogram ABCD ≅ parallelogram EFGH
We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.
The given options are:
A. ∠B≅∠E
B. BC≅GH
C. ∠C≅∠G
D. AD≅EF.
What are parallelograms and their properties?It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.
Properties of a parallelogram :
- The opposite sides are parallel and congruent.
- The opposite angles are equal.
- The consecutive angles are supplementary.
- If any one of the angles is a right angle, then all the other angles will be at
a right angle.
- The two diagonals bisect each other.
So if we compare two parallelograms the above properties are congruent.
Let's draw the two parallelograms ABCD and parallelogram EFGH.
A____________ B E____________F
\ \ \ \
\ \ \ \
\ \ \ \
D_____________C. H____________G
The following are congruent:
AB≅EF
BC≅FG
CD≅GH
AD≅EH
∠ A ≅ ∠ E
∠ B ≅ ∠ F
∠ C ≅ ∠ G
∠ D ≅ ∠ H
Checking the above congruent we see that we have ∠ C ≅ ∠ G in the given option.
Thus, ∠ C ≅ ∠ G is the only correct option.
Learn more about parallelogram here:
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what is the degree of -7xyz^2
Answer:
The degree is 4
Let me know if it helped :)
1/4 Divided By 9/10=
Answer:
[tex]\frac{5}{18}[/tex]
Step-by-step explanation:
When dividing fractions, the formula is simple: Keep Flip Change (KFC)
So keep [tex]\frac{1}{4}[/tex] change your division sign to a multiplication sign, and flip [tex]\frac{9}{10}[/tex] so it becomes [tex]\frac{10}{9}[/tex].
[tex]\frac{1}{4}[/tex]·[tex]\frac{10}{9}[/tex]=[tex]\frac{10}{36}[/tex]
Then you need to reduce your fraction to simplest form.
[tex]\frac{5}{18}[/tex]
Lee measured a restaurant and made a scale drawing. The scale he used was
2 millimeters : 1 meter. The restaurant's kitchen is 27 meters long in real life. How long is the kitchen in the drawing?
Answer:1 meter
Step-by-step explanation:
because in drawing it cant be as big as it is in real life
* Required
Solve.
15) 4x + 2 y = 14
2x + y = 8
Answer:
Step-by-step explanation:
4x + 2y = 14
-4x - 2y = -16
0 ≠ -2
no solutions
How to simplify 2.961
Answer:
Just multiply with 1000
You get 2961
So 2961
The traffic lights at three different road crossings change after every 48 seconds 72 seconds and 108 seconds respectivily.If they changed simultaneously at 7:00 am.,at what time will they change simultaneously again
Answer:
07:43: 12 AM
Step-by-step explanation:
Given that:
Traffic lights change after every 48, 72 and 108 seconds.
They changed simultaneously at 7:00 AM.
To find:
At what time, they will change simultaneously again ?
Solution:
For this, we need to find LCM(Least Common Multiple) of the three numbers and then add it to 7:00 AM to find the time they will change together again.
Because LCM of 3 numbers is the least number which is divisible by all 3 numbers.
Let us factorize the numbers and underline the common part:
[tex]48 = \underline{12}\times 4\\72 = \underline{12}\times 6\\108 = \underline{12}\times 9[/tex]
Common part is taken only once and the remaining part is multiplied to it to find the LCM.
So, LCM = [tex]12 \times 4\times 6 \times 9 = 2592[/tex]
In 2592 seconds, they will change together again.
Changing 2592 seconds in minutes:
Let us divide it by 60:
We get 43 minutes 12 seconds.
Let us add it to 7:00AM, we get the following:
So, the time at which they will change simultaneously = 07:43: 12 AM
Help ASAP thank youu
25°C
Step-by-step explanation:C = 5/9(F - 32)
= 5(77 - 32)/9
= 5×45/9
= 5×5
= 25° C
Answer: The answer is 25°C.
I hope this helped and please please mark me as brainlest.
Use the figure to find the Volume. 30 cu. units 60 cu. units 104 cu. units
Answer:
60 cu units
Step-by-step explanation:
volume is base times height times length
5 x 6 x 2
you are installing a support wire for an electrical pole. the pole is 25 feet and the ground connection is 10 feet from the base of the pole. the wire is sold per whole feet. how many feet of support why should you purchase
ans=26.92
use trigonometric ratios
a²= b²+c²
a²=25²+10²
a²=625+100
now take square root on both sides
a
[tex] \sqrt{a { }^{2} } = \sqrt{725} [/tex]
a=26.92
a=27 (2decimal place)
Write the equation of a line with a slope of 4 and a y-intercept of −3.
Answer: y=4x-2
Step-by-step explanation:
Slope-intercept form: y=ax+b, where a is the slope and b is the y-intercept.
Given: slope is 4, and y-intercept is -3
y=ax+b
y=4x+(-3)
y=4x-3
Hope this helps!! :)
Please let me know if you have any question
The first five batters on a softball team’s lineup have the following numbers of hits for the season: 83, 71, 68, 62, 61. What is the mean number of hits for these five players?
Answer:
296.2
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
83+71+68+62+61(players hits for the season)=345
345(total of numbers added)÷5(number of players)
69(average of players hits as a team)
the Rope is 30m long. how many 3/4 meter pieces can be cut from the rope
Answer:
40
Step-by-step explanation:
Given:
Length = 30 mPieces = 3/4 mNumber of pieces:
30 ÷ 3/4 = 30 × 4/3 = 40 pieces0.29 rounded? I need this for msth and quick!!
Answer:
0.29 rounded to the nearest ones is 0.
0.29 rounded to the nearest tenths is 0.3
0.29 rounded to the nearest hundredths is 0.29
Step-by-step explanation:
Note that when rounding, you always look at the place value directly next to the one you are rounding. Note that if the digit is 5 or greater, round up; If 4 or less, round down.
Round to the nearest ones:
Look at the place value directly next to the ones (tenths place value). It is a 2. Because 2 is less than 5, round down:
0.29 rounded to the nearest ones is 0.
Round to the nearest tenths:
Look at the place value directly next to the tenths (hundredth place value). It is a 9. Because 9 is greater than 5, round up:
0.29 rounded to the nearest tenths is 0.3
Round to the nearest hundredths:
Look at the place value directly next to the hundredths (thousandths place value). Because there is no number, it is typically signified by a 0 (place holder).
0.29 rounded to the nearest hundredths is 0.29
~
Help anyone I need this for my test tomorrow please I am being anyone who knows how to do algebraic expression
Answer:
19. x > 7
20. x < 35
21.[tex]5\times x =5x[/tex]
22. [tex]\frac{1}{3} \times x = \frac{1}{3} x[/tex]
23.[tex]f\div 10[/tex] or [tex]\frac{f}{10}[/tex]
24. 45r
25.[tex]3\times x +16=3x+16[/tex]
26.[tex]18-3\times d = 18-3d[/tex]
27.[tex]k^2 -11[/tex]
28.[tex]\frac{20}{t^5} \\[/tex]
Step-by-step explanation:
Factor the common factor out of the expression.
4a^4 – 20a^2
Answer:
4a²(a² - 5)
Step-by-step explanation:
4a⁴ – 20a² =
4a²× a² - 4a²×5 = ⇒ common factor is 4a²
4a²(a² - 5) ⇒ factorized
What is the constant in the expression 6a+2b+5?
Answer:
The answer would be 5.
Step-by-step explanation:
Tthe other terms have a number being multiplied by a variable.
a+3ab+67a-2ab-1 and for 5 stars
Answer:
68a+ab−1
Step-by-step explanation:
cancel out
Answer:
Step-by-step explanation:a+67a=68a
3ab+2ab=5ab
so 69a+5ab-1
Nearest to 10, 100,1000 ,10000
Answer:
21,875: 21,880, 21900, 22,000, 20,000
85,000: 85,000, 85,000, 85,000, 90,000
36,243: 36,240, 36,200, 36,000, 40,000
54,999: 55,000, 55,000, 55,000, 50,000
Answer:
a
Step-by-step explanation:
Please help me find the answer
Answer:
[tex]k = \frac{2P}{x^2}[/tex]
Step-by-step explanation:
[tex]P= \frac{1}{2} kx^2\\\\P=\frac{kx^2}{2}\\\\ 2P =kx^2\\\\\frac{2P}{x^2}= \frac{kx^2}{x^2} \\\\k= \frac{2P}{x^2}[/tex]
Is y=4x+13 a function
Answer:
Yes
Step-by-step explanation:
HELP ME PLEASE!!!! :))
Solve for x
41 – 3 = 7
Enter your answer in the box.
X =
Answer: X= 2.5
Step-by-step explanation:
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 670 lb. How many boxes of books can the delivery person bring up at one time?
Answer:
Step-by-step explanation:
So if the delivery person weights 160 lbs than we’re going to subtract 670-160=510 next we divide 40 into 510 which is 12.75. Which means that he can bring 12 boxes.
Answer:
12
Step-by-step explanation:
max cap 670lb- delivery person 160lb weight left 510lb
weight 510lb/each box 40lb number of boxes 12.75lb
each box 40lb times number of boxes 12lb 480lb+160lb 640lb
so your still have 30 lb before max weight of elevator
What type of number is 3908i?
A)real
B)imaginary
C)complex
Answer:
B
Step-by-step explanation:
Imaginary number contain the letter i in order for them to be recognized
The are of a rectangle is 50m^2 , the length is 100m . Calculate the width
w = 0.5 m
Step-by-step explanation:A = l × w
50m² = 100m × w
w = 50m²/100m
w = 0.5 m
Answer:
The answer is 0.5 m i.e Width = 0.5 m
Step-by-step explanation:
Given,
Area (A) = [tex]50m^{2}[/tex]
length (l) =100 m
width ( b ) = ?
Now,
A = l * b
or, 50 = 100 * b
or, [tex]\frac{50}{100}[/tex]= b
or, b = 0.5 m
2a – 6 (a – 4) = -4
Can I solve this?
Answer:
-4
Step-by-step explanation:
Answer:
A=7
Step-by-step explanation:
2a-6a+24=-4
simplify
-4a+24=-4
subtract 24 from both sides
-4a=-28
divide both sides by -4
a = 28/4
simplify 28/4 to 7
a=7
As a decimal number
8×1+1× 1/ 10 +6× 1 /100 +7× 1/ 1000 =
Answer:
the answer is 8.167
Step-by-step explanation:
What is the gravitational potential energy (in Joules) of a 75 kg tourist at the top floor of the Sears Tower in Chicago that is 436 m high? Place the value in the space below without any commas or letters.
Answer:
Gravitational potential energy = 320,460 joules
Step-by-step explanation:
Given:
Mass of tourist = 75 kg
Height = 436 m
Gravitational accelration = 9.8 N/kg
Find:
Gravitational potential energy
Computation:
Gravitational potential energy = mgh
Gravitational potential energy = (75)(9.8)(436)
Gravitational potential energy = 320,460 joules
Answer:
Step-by-step explanation:
There are 252 campers at a summer sports camp. How
many flag football teams can be formed if there will be
14 players on a team?
need help finding the side length, thank you! please try and show work or you can
Answer: x=16
Step-by-step explanation:
For this problem, we can set a proportion to find the side length of the smaller rectangle.
[tex]\frac{15}{24}=\frac{10}{x}[/tex] [cross multiply]
[tex]15x=240[/tex] [divide both sides by 15]
x=16