Answers
Answer: ΔHGF≅ ΔABC
Step-by-step explanation:
ASA congruence postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of next triangle then the triangles are congruent.In the given figure ΔABC and ΔHGF have the pair of two corresponding angles and the included sides are congruent.
i.e.[tex]\angle{C}\cong\angle{F}[/tex]
[tex]\overline{GF}\cong\overline{BC}[/tex]
tex]\angle{G}\cong\angle{B}[/tex]
Therefore , by ASA congruence postulate:-
ΔABC ≅ ΔHGF
In ΔTUV , there is only angle given . So there is no enough information to prove it by ASA.
Related Questions
ken and leah. are trying to solve a science homework question. They need to find out how much a rock that weights 4 pounds on earth would weight on Venus. They know they can multiply the amount the rock weights on earth by 0.91 to find its weight on Venus. Select the two partial products ken and leah would need to add to find the product of 4 and 0.91.
Answers
The Weight on Venus is 3.64 pounds
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
They need to find out how much a rock that weights 4 pounds on earth would weight on Venus.
So, the Weight on Venus
= 4 x 0.91
= 4x 0.9+ 4 x 0.01
= 3.6+ 0.04
= 3.64
Hence, the Weight on Venus is 3.64 pounds
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what is the distance between 1st and 3rd base?
Answers
The distance between the first base and third base in the given problem is 127.28 feet.
Distance is a measure of how far apart two objects are. It's a scalar quantity, which means that it has magnitude but no direction. The distance between two points can be gauged in various ways, including using a ruler, a tape measure, or a laser rangefinder. The primary difference between the distance and the displacement is that the latter has the direction but not the former.
As evident from the figure,
the running track is a square.
So, all the sides are equal to each other in length.
So, the distance between the first base and the second base is equal to the distance between that of the second base and the third base which is equal to 90 feet.
Let us name the square ABCD.
Join vertex A and vertex D.
The triangle ABC is the right-angled isosceles triangle.
So, by Pythagorean Theorem,
[tex]\sqrt{AC^2}[/tex] = [tex]\sqrt{AB^2+BC^2}[/tex]
= [tex]\sqrt{90^2 + 90^2}[/tex]
= [tex]\sqrt{8100+8100}[/tex]
= [tex]\sqrt{16200}[/tex]
= 127.28 (approximately)
So, the first base and third base are 127.28 feet apart.
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Find the perimeter of right triangle WXY if the radius of the circle is 4 units and WY = 20 units.
Answers
The perimeter of the right triangle WXY is 60 units.
Explanation:To find the perimeter of a right triangle WXY, we need to know the lengths of the two legs. Given that the radius of the circle is 4 units and WY is 20 units, we can determine that the hypotenuse, XY, is equal to 20 units. So the perimeter of the triangle is the sum of the lengths of its three sides: 20 + 20 + 20 = 60 units.
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We calculate the perimeter of the right triangle by first finding the lengths of the legs using the Pythagorean theorem and the given radius, then summing these lengths with the hypotenuse.
Explanation:The subject of this question is Geometry, specifically involving the calculation of the perimeter of a right triangle. In a right triangle, the lengths of the three sides follow the Pythagorean theorem, written as [tex]a^2 + b^2 = c^2[/tex], where c is the hypotenuse and a and b are the lengths of the other two sides.
Here, the length of the hypotenuse WY is given as 20 units. In a right-angled triangle, where a circle is inscribed, the radius of the circle is equal to half the sum of the two legs of the triangle (radius = (a+b)/2). In this case, the radius is given as 4 units. Thus, the total of the two legs a and b is 8 units.
The Pythagorean theorem can now be used to solve for a and b, knowing that [tex]a^2 + b^2 = 20^2[/tex] and a + b = 8; then to find the perimeter, sum the hypotenuse and the lengths of the legs, i.e. Perimeter = a + b + c.
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If 2 inches = 25 miles how many inches are 60 miles
Answers
Find the amount of miles for each inch.
25/2 = 12.5
1 inch = 12.5
Divide 60 miles with 12.5 miles to find the amount of inches.
60/12.5 = 4.8
4.8 inches = 60 miles
hope this helps
help please someone this is really important
Answers
3. In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.
(Part a) What is the probability that you roll a 6? Explain your reasoning.
(Part b) What is the probability that you either roll a 6 or do not roll a 6? Explain your reasoning.
(Part c) What is the probability that you don’t roll a 6? Explain your reasoning.
Answers
Part B: The probability is 6/6, or alternatively 100%. This is because that the probability of rolling a 6 is 1/6, and the probability of rolling any of the other options is 5/6. Adding them together gives a probability of 6/6.
Part C: The probability is 5/6. This is because there are six options, and of those, five of them are not 6.
Part b. 1 because the total is always 1 when you add both.
Part c. 5/6 because there is only one 6 and the rest aren't which is 5 out of 6.
Hope this helped☺☺
Which of these four sets of side lengths will form a right triangle?
Set 1
4 cm, 5 cm, 6 cm
Set 2
8 in., 12 in., 20 in.
Set 3
10 mm, 20 mm, 30 mm
Set 4
12 ft, 16 ft, 20 ft
Answers
Hope I helped if I did click the thx button ;)
Set of sides that will make right triangle is
Set 4 : 12 ft, 16 ft, 20 ft
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle square of the hypotenuse is equal to the sum of the square of perpendicular and square of base. The longest side is the hypotenuse.
Given measurements
Set 1:
4cm , 5cm , 6cm
By Pythagoras theorem
4² + 5² = 6²
16 + 25 = 36
41 ≠ 36
Pythagoras theorem is not satisfied,
this set of sides will not make right triangle
Set 2
8 in., 12 in., 20 in.
By Pythagoras theorem
8² + 12² = 20²
64 + 144 = 400
208 ≠ 400
Pythagoras theorem is not satisfied,
this set of sides will not make right triangle
Set 3
10 mm, 20 mm, 30 mm
By Pythagoras theorem
10² + 20² = 30²
100 + 400 = 900
500 ≠ 900
Pythagoras theorem is not satisfied
this set of sides will not make right triangle
Set 4
12 ft, 16 ft, 20 ft
By Pythagoras theorem
12² + 16² = 20²
144 + 256 = 400
400 = 400
Pythagoras theorem is satisfied
this set of sides will make right triangle.
Hence, Set 4 of sides 12 ft, 16 ft, 20 ft will form a right triangle.
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A moving company had one sixth of a ton weight to move across town. If they wanted to split it equally amongst 4 trips, how much weight would they have on each trip
Answers
Answer:
And.Each Trip will have to take 41.667kilograms
Step-by-step explanation:
1/6×1000÷4=41.6666667
a point locates at (-3 7) undergoes two transformations. its images is located at (3 -7). what were the transformations?
Answers
A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?
Answers
Explanation:
x ==> weight of walnuts
y ==> weight of pecans
║ x + y = 1
║ 8x +2y = 6
║ x = 1 - y
║ 8x + 2y = 6
8(1 - y) + 2y = 6
8 - 8y + 2y = 6
6y = 2
y = 1/3
x = 1 - 1/3 = 2/3
Please help me on number 8 and explain ?
Answers
65 / 9 = 7 R2
You can make 7 medallions from a 65cm piece of wire.
65cm/9cm = 7.222
So he can make 7 whole medallions with some left over.
Which of the following shows that polynomials are closed under subtraction when polynomial x + 5 is subtracted from 3x2 + 2x − 6?
3x2 + x − 11 may or may not be a polynomial
3x2 + x − 11 will be a polynomial
3x2 + x − 1 will be a polynomial
3x2 + x − 1 may or may not be a polynomial
Answers
[tex]P = 3x ^ 2 + 2x - 6 Q = x + 5[/tex]
By subtracting both polynomials we have:
[tex]P - Q = (3x ^ 2 + 2x - 6) - (x + 5) [/tex]
What we must do is subtract terms of the same degree.
We have then:
[tex]P - Q = 3x ^ 2 + (2x - x) + (-6 - 5) P - Q = 3x ^ 2 + x - 11[/tex]
Answer:
[tex]3x ^ 2 + x - 11[/tex] will be a polynomial
A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles. What is the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble?
Answers
The probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,
⇒ 2 / 19
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles.
Hence, Number of marbles = 5 + 7 + 8 = 20
Thus, the probability of randomly choosing a blue marble is,
⇒ 5 / 20
⇒ 1 / 4
And, the probability of randomly choosing a green marble is,
⇒ 8 / 19
Thus, the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,
⇒ 1/4 × 8/19
⇒ 2 / 19
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Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (5, 8). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answers
what ia the length of the hypotenuse triangle below?
Answers
[tex] h^{2} = (9 \sqrt{2})^{2} + (9 \sqrt{2})^{2} \\ \\ h^{2}=162+162 \\ \\ h^{2}=324 \\ \\ h= \sqrt{324} \\ \\ h=18 [/tex]
Thus, the length of the hypotenuse will be 18.
Answer: 18 - apex
Step-by-step explanation:
The coordinate of the vertices for square CDEF translated 3 units right and 4 units up if the vertices are C(-3,1), D(1,5), E(5,1), and F(1,-3) are. C’(0,5), D(4,6), E,(8,6) and F(4,-1). Is it true or false
Answers
Here are the correct answers:
C: (-3, 1) to (0,5). CORRECT!
D: (1,5) to (4, 9) INCORRECT IN THE CHOICE
E: (5, 1) to (8, 5) INCORRECT IN THE CHOICE
F: (1, -3) to (4, 1) INCORRECT IN THE CHOICE
Answer:
false
Step-by-step explanation:
fr ong
A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2 in. Some friends play a game throwing darts onto the mat to see who can land a dart in one of the circles.
Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?
Use 3.14 to estimate Pi.
Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
P(landing in a circle) =
Answers
[tex] |\Omega|=4\cdot12=48\\
|A|=3\cdot3.14\cdot2^2=37.68\\\\
P(A)=\dfrac{37.68}{48}\approx0.79 [/tex]
Answer: 77.9
Step-by-step explanation: .
Courtney had $55 to spend at the fair. She paid $22.50 for rides and $14.25 for lunch and snacks. Courtney says she has $18.25 left to play games at the fair. Which explanation explains whether Courtney is correct or not? A. Courtney is not correct. Estimation: 22.50 – 14.25 is about 8. $55 – $8 = $47 There was about $47 left for Courtney to spend on games. B. Courtney is correct. Estimation: 22.50 + 14.25 is about 37. $55 – $37 = $18 There was about $18 left for Courtney to spend on games. C. Courtney is not correct. Estimation: 22.50 + 14.25 is about 37. $55 + $37 = $92 There was about $92 left for Courtney to spend on games. Question Resources
Answers
A. would be wrong because Courtney IS correct, she has $18.25 left.
C. is also wrong because, again, Courtney IS correct.
So the only option left is B and it explains why Courtney is correct.
Option B is the correct answer.
Hope this helps.
Help me with a Geometry problem! (10 points)
Answers
The bases are equal, unless otherwise specified it can be inferred that the altitude are the same if the lines on the same plane are drawn parallel too,
I do not understand how to do this
Answers
Shape 1
4*2=8
Shape 2
6*4=24
Add shape 1 and shape 2
8+24=32
The area of the shale would be 32in
I hope this helps
Area of entire figure: 8 × 6 = 48 in²
Area of empty space: 4 × 4 = 16 in²
48 - 16 = 32
The area of the figure is 32 in².
Mary collects dolls. She has 4 dolls more then her friend Penney. Mary says if she tripled the number of dolls she has, she would have 27 dolls. How many dolls does Penney have?
Answers
Can people help me please to find the volume about question number 10 please and tell me the answer step by step please I need help
Answers
Volume of a cylinder: [tex] \pi [/tex]r²h
Plug the numbers in.
[tex] \pi [/tex]3²15 = 424
The volume of the pipe is 424 cm³.
What is the volume of the box if it is scaled down by a factor of $1/10$?
Answers
Length = 8 ÷ 10 = 0.8
Width = 3 ÷ 10 = 0.3
Height = 13 ÷ 10 = 1.3
Volume = 0.8 x 0.3 x 1.3 = 0.312 units³
Answer: 0.312 units³
The volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Length: 9 in, Width: 3 in and Height: 10 in
We know that, the volume of a cuboid is Length×Width×Height
Here, the volume of a box = 9×3×10
= 270 cubic inches
It is scaled down by a factor of 1/10
Now, 1/10 ×270
= 27 cubic inches
Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.
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"Your question is incomplete, probably the complete question/missing part is:"
What is the volume of the box if it is scaled down by a factor of 1/10? Length: 9 in, Width: 3 in and Height: 10 in
The probability of winning a game is 25% . How many times should you expect to win if you play 36 times ?
1. 3 times
2. 7 times
3. 9 times
4. 11 times
Answers
Answer: 9 times
Solve the system of linear equations by substitution check your solution show work
Y-x=23
Y=3x+11
A) 3 ,20
B)6,29
C)24,47
D)4,27
2 x-y=30
2.5 +y=5
A)8,-22
B) 122.5, 92.5
C) 10 , -20
D)11, -22.5
Answers
3x + 11 - x = 23
2x = 12
x = 6
Now plug back in.
y - 6 = 23
y = 23 + 6
y = 29.
Your answer is (6, 29), option B
I can't tell what the second system of equations even is. 2x - y = 30? x - y = 30? The second equation doesn't look like it has a x-variable. It's spaced out weird. Can you just ask that in a separate question or type it in the replies?
solve the inequality 1/2 y +6<0
Answers
y < -12
all real numbers less than - 12:
( - ∞ , - 12)
{ y ∈ R | y < - 12}
Explanation:
1) Starting pointL inequality (1/2)y + 6 < 0
2) subtract 6 from both sides:
(1/2)y + 6 - 6 < 0 - 6
(1/2) y < - 6
3) multiply both sides by 2:
(2)(1/2)y < - (2) (6)
y < -12
4) That is all real numbers less than - 12:
Equivalent to ( - ∞ , - 12) or { y ∈ R | y < - 12}
a dragonfly the fastest insect, can fly a distance of 50 feet at a speed of 25 feet per second. find the time in seconds. write the equation in form d=
Answers
To find time: time = distance / speed
50 / 25 = 2
The answer is 2 seconds
Hope this helps :)
Using the equation 't = d/v', where 'd' is distance and 'v' is velocity, the time 't' for a dragonfly to fly 50 feet at 25 feet per second is calculated to be 2 seconds.
To find the time it takes for a dragonfly to fly a distance of 50 feet at a speed of 25 feet per second, we can use the formula d = vt, where d is the distance, v is the velocity (speed), and t is the time. To solve for time (t), we rearrange the formula to t = d/v.
So, plugging in the values:
Distance (d) = 50 feetSpeed (v) = 25 feet/secondWe get:
t = d/v = 50 feet / 25 feet/second = 2 seconds
The dragonfly takes 2 seconds to fly 50 feet at a speed of 25 feet per second.
find two fractions with a difference of 1/2 but with neither denominator equal to 2
Answers
Or
18/20 - 8/20 = 10/20 ( Also when Simplified it is 1/2)
Two pairs of fractions that meet the criteria are 3/4 and 1/4, and 5/6 and 1/3, as the difference of each pair reduces to 1/2.
Explanation:
Finding two fractions with a difference of 1/2 where neither denominator is equal to 2 requires a bit of trial and error. An example of this could be the two fractions 3/4 and 1/4. If you subtract 1/4 from 3/4, you get 2/4, which reduces to 1/2. This meets the requirements of the question as neither denominator is equal to 2 and the difference of the two fractions is 1/2.
For another example, consider the fractions 5/6 and 1/3. Subtract 1/3 from 5/6, and your result is 3/6, which likewise reduces to 1/2. Again, this answer meets the criteria set by the question.
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true or false the area of a regular hexagon can be found by breaking the hexagon into 6 congruent triangles and then taking the sum of their areas
Answers
write
(6b)^2 without exponents
Answers
I think....tell me if im right plz