ABC is congruent to FGH, AB=8.3, BC=10.4, and CA=4.2. What is the measure of segment GH?
Answers
For a better understanding of the explanation provided here please go through the diagram in the attachment given below.
As we can see from the diagram of the congruent triangles ABC and FGH, the vertices A,B,C of [tex] \Delta ABC [/tex] correspond to the vertices F,G,H of [tex] \Delta FGH [/tex], so the corresponding sides must correspond too. Thus, AB corresponds to FG, BC corresponds to GH and CA corresponds to GF.
Now, we know that BC=10.4. Therefore, it's corresponding side GH must be 10.4 too because they are corresponding sides of a congruent triangle.
Thus, GH=10.4 is the correct answer.
Related Questions
The volume of a right rectangular shipping carton is 948.75 cubic meters. The height of the shipping carton is 11 meters, and the width is 7.5 meters. What is the length of the shipping carton? Enter your answer as a decimal in the box.
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If volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that volume of a right rectangular shipping carton is 948.75 cubic meters.
The height of the shipping carton is 11 meters, and the width is 7.5 meters.
We have to find the length of the shipping carton
V=Length × width × height
V= Length x 7.5 x 11
948.75 = 82.5 length
Divide both sides by 82.5
Length = 948.75/82.5
Length = 11.5 meters
Hence, if volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.
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show your work and simplify the expression (x – 2) (3x-4)
Answers
Remember F.O.I.L
First
Outside
Inside
Last
First: x * 3x = 3x^2
Outside: x * -4 = -4x
Inside: -2 * 3x = -6x
Last: -2 * -4 = 8
3x^2 - 4x -6x + 8
Now, combine like terms.
3x^2 - 10x + 8
Hope I helped!
I'd be very happy to help if you need anything else!
~ Zoe
The ratio of the number of boys to the number of girls in the class is 1:6. Which statement must describe the class?
A) There are exactly 7 students in the class.
B) There is 1 boy for every 6 girls in the class.
C) There are 5 more girls than boys in the class.
D) There is 1 boy out of the 6 students in the class.
Answers
: ) have a nice day
Answer: B
Step-by-step explanation: If it is asking the ratio from boys to girls the boy would be 1 and the girl would be 6 so the ratio is for every one boy is six girls. So it would be B.
if a circle has a radius of 2.5 inches what is the area of the circle
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answer: 19.625
Can someone please help me??
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The ratio of plates to napkins is 3:12. Write the ratio in simplest form.
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I hope this helped! :-)
The common factor of 3 and 12 is 3.
3 divided by 3 is 1
12 divided by 3 is 4
So you get 1:4
Hope this helped! ♡
Please I need help ASAP (brainly + thank you + brainly)
Answers
x = 98.18
100-98.18=1.81 (rounded 1.8)
----------------------------------------------
(88.3-1.8%=86.7)
88.3-1.8%=86.7 is the answer
7.2 = 8t
t = ???
I need a little help with this one
sorry...
Answers
7.2/8= 0.9 and 8t/8=t
T=0.9
There is no problem with needing a little help, no need to apologize. To solve this use the inverse operation of multiplication (division) to solve. See photo :D
Cheers,
Izzy
Is 5 quarts bigger than 25 cups
Answers
5 quarts = 20 cups
1 quart = 4 cups
5 quarts is smaller than 25 cups
Congruency means that two figures or items are exactly the same size and shape. Where in life would it be vitally important for two or more items to be congruent?
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Hope this helps!
Brainliest? Please?
a 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. what angle does the ladder make with the ground?
Answers
use cos(x)8/20
The ladder makes an angle of 63.43 degrees with the ground.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building
We need to find the angle which the ladder make with the ground.
tan(x) = opposite side / adjacent side
In this case, the opposite side is the height of the building, which is 20 feet.
The adjacent side is the distance from the wall to the base of the ladder, which is 8 feet.
Plugging in the values:
tan(x) = 20 / 8
x=tan⁻¹(20/8)
x=63.43 degrees
x is the angle
Hence, the ladder makes an angle of 63.43 degrees with the ground.
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Thirty five is what fraction of 80
Answers
35/80= 7/16
Students in a class were asked to name their favorite sport they like to watch on television. The results are shown in the circle graph. How many times more students prefer to watch basketball than prefer to watch soccer? Soccer- 3% Basketball- 25.5%
Answers
8.5 times more student prefer basketball over soccer
Using the divison operation, we can conclude that students prefer Basksetball 8.5 times more than soccer.
Percentage who prefer soccer = 3%Percentage who prefer Basksetball = 25.5%To obtain the number of times basket ball preference is greater than soccer :
We use the division operation :
(percentage of basketball) ÷ (percentage of soccer)
(25.5) ÷ 3 = 8.5
Therefore, students prefer basketball 8.5 times more than soccer.
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Which coordinate grid shows the correct locations of P(1, 2.5), point Q, which is a reflection of point P across the y-axis, and R(2, −2.5)?
Answers
Answer:
the second one is correct
Step-by-step explanation:
Answer:the second
Step-by-step explanation:
4(2.1k-4)=6(3.4k-2) what does (K) equal?
Answers
4(2.1k - 4) = 6(3.4k - 2); apply the distributive property to remove the parenthesis.
8.4k - 16 = 20.4k - 12; Get the variable to one side, so subtract 8.4k.
-16 = 12k - 12; isolate the variable by adding 12.
-4 = 12k; divide by 12 to solve for our variable.
k = -1/3
I hope this helps!
Need help! Easy!! 7th grade Pre-algebra! Easy!
Answers
B is the appropriate selection.
_____
8. The vertex form will be
.. y = a(x +1)² -10 . . . . . matching selections F and H
When we substitute x=1, we get 4a-10 = 2; a=3
H is the appropriate selection
a circle has a radius of 8 inches. What is the circumference in terms of pi?
Answers
Please make brainliest! ☺
multiply the radius by 2 to get the diameter - which is 16
pi*16=50.26548...
50.26548... OR 50.3 rounded
Charlene records the number of pieces of red colored candies in ten bags of candy of assorted colors. find and interpret the mean absolute deviation of the data
6,6,7,7,8,8,10,10,11
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Please see the attached picture for the work.
The mean absolute deviation is approximately 1.48.
This means that the numbers of candies in the 10 bags are all very close to one another. There is not much variation.
In ABC what is the measure of C
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To solve this equation, you know what each angle is equal to, and all triangles add to equal 180 degrees, so you can set it up like so:
6x + 2x + 2x = 180 Then combine all the x's and simplify by dividing.
Answer:
36 °
Step-by-step explanation:
Hello
In geometry an interior angle or an internal angle is an angle formed by two sides of a polygon that sharing a common end is contained within the polygon, and the sum of these angles is given by
sum=(n-2)*180°
where n is the number of sides of the polygon,in our case n= 3 (a triangle)
Step 1
find the sum o internal angles
sum=(3-2)*108°
sum=1*180°
(1)sum=180°
step 2
find x
now, according to the graph the sum of internal angles is
sum(graph)=6x+2x+2x
(2)sum=10x
(1) must be equal to (2)
180°=10x
isolating x
x=18
Step 3
find C
by the graph ,we know
C=2x
and x=18
replacing
C=2(18)
C=36°
Have a great day
What is 143-1 1/20 please how meeeee I'm stupid but I just have to check my work if I got it right
Answers
142 * 1/20
142/20
7.1
what is yhe best approximation of the value of w?
A) 1.4 cm
B) 4.0 cm
C) 6.0 cm
D) 7.3 cm
Answers
B) 4.0 cm
ExplanationFirst, we can adapt the law of sines to the notation of our triangle:
[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]
Now, we can infer from our diagram that [tex]W=39[/tex], [tex]U=31[/tex], and [tex]u=3.3[/tex], so we can replace the values in our previous expression:
[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]
[tex]\frac{sin(39)}{w} =\frac{sin(31)}{3.3}[/tex]
Finally, we can solve for [tex]w[/tex]:
[tex]\frac{3.3sin(39)}{w} =sin(31)[/tex]
[tex]3.3sin(39)=wsin(31)[/tex]
[tex]\frac{3.3sin(39)}{sin(31)} =w[/tex]
[tex]w=\frac{3.3sin(39)}{sin(31)}[/tex]
[tex]w=4.03224[/tex]
Which rounds to [tex]w=4.0[/tex]
We can conclude that the best approximation of w is 4.0 cm
th original price of a computer was reduced by $250. if p= the computer original price in dollars. which algebraic expression represents the reduced price
Answers
p-250
What is the answer to 2
Answers
A = 4(6x + 3)
A = 4(6x) + 4(3)
A = 24x + 12
The answer is 24x+12.
As we are looking for the perimeter of the polygon, we should understand the formula for each figure. For #2, we can clearly see that we have a square, which concludes that the perimeter for the figure is going to be 4S ('S' being the length of one side as all sides are equal).
Let's apply this to our problem.
P = 4S;
S = 6x + 3; set this up as an equation.
P = 4(6x + 3); apply the distributive property to the right side of the equation.
P = 4(6x) + 4(3);
P = 24x + 12
As we can see above, the perimeter of the square in problem #2 is going to be 24x + 12.
I hope this helps!
HEEEEEEELP ASAP Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of $555.28 before taxes. Monique went to Fast Wheels and paid $136.71 per tire for 4 tires and a flat rate fee for installation for a total of $585.34 before taxes. The difference in the amount that they paid in installation charges is $____ WILL GIVE YOU BRAINLIEST
Answers
$136.71 • 4 + $585.34 = $1,132.18
$1,132.18 - $1,045.56 = $86.62
-x+y=5 4x+y=10 Use addition to solve the linear system of equations. Include all of your work in your final answer
Answers
x = 1
y = 6
Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 ............> I
The second given equation is:
4x + y = 10 ..........> II
Add the two equations I and II as follows:
x - y = -5
+ 4x + y = 10
..............................
5x = 5
Therefore:
x = 5/5
x = 1
Substitute with x in equation I to get y as follows:
x - y = -5
1 - y = -5
y = 1 + 5
y = 6
Hope this helps :)
Adelaide paid $35 for a manicure and gave the manicurist a 20% tip How much money did Adelaide give her manicurist
Answers
$42.
Explanation:
The best way to find a total bill including tip (or tax if that is what you are looking for - it is found the same way), is to multiply the original total by 1 + the percentage of the tip.
Since the percentage is 20%, we add 0.20 to 1 to get 1.20.
Now we multiply that by the original cost to get the final answer.
1.20*35 = 42
Answer:
Adelaide gave $ 42 to the manicurist.
Step-by-step explanation:
Here, the original price of the manicure = $ 35
Since, 20% tip is given to manicurist,
Thus, the total payment for manicure = Original price of the manicure + 20 % of the original price of the manicure
= 35 + 20 % of 35
[tex]=35+\frac{20\times 35}{100}[/tex]
[tex]=35+\frac{700}{100}[/tex]
[tex]=35+7[/tex]
[tex]=42[/tex]
Hence, Adelaide gave $ 42 to the manicurist.
help with how to solve this
Answers
how do you do this please help me
Answers
4x + 6 +3x + 2 = 57
7x + 8 = 57
7x = 49
x = 7
The perimeter of a triangle is the sum of all sides' lengths.
Thus,
[tex]P=6+4x+(3x+2)=7x+8.[/tex]
Given [tex]P=57\ cm,[/tex] you get
[tex]7x+8=57,\\ \\7x=57-8,\\ \\7x=49,\\ \\x=\dfrac{49}{7},\\ \\x=7\ cm.[/tex]
Answer: x=7 cm.
What is 2x2 ? Plz I need the answer .
Answers
All you are doing is multiplying 2 by 2, doubling it.
Hope this helped<3
Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lucy sew in one?
Answers
[tex]\sf\dfrac{4}{7}\div\dfrac{3}{4}[/tex]
When dividing fractions we flip the one we're dividing by and multiply:
[tex]\sf\dfrac{4}{7}\times\dfrac{4}{3}[/tex]
Multiply the numerators and denominators together:
[tex]\boxed{\sf\dfrac{16}{21}}[/tex]
So she sews 16/21 of a dress in one hour.