Which pair of triangles can be proven congruent by the HL theorem
Answers
The pair of given triangles which satisfied the HL theorem of congruency is given by option C. Both right triangles with hypotenuse and one corresponding leg congruent.
HL theorem also named as Hypothenuse Leg theorem,
It states hypotenuse and any one leg of one right angled triangle is congruent to hypotenuse and corresponding leg of another right angled triangle.
This implies both the triangles are congruent using HL theorem.
To check which pair of triangles are congruent using HL theorem are as follow,
a. In the first pair of right angled triangles only hypotenuse is marked as congruent side of two different triangles.
So it is not true.
b. In the second pair of triangles,
Both the triangles are obtuse angled triangle.
It does not satisfied HL theorem.
So , it is also not true.
c. In the third pair of the right angled triangle,
Hypotenuse of both the triangle are marked congruent.
One of the corresponding leg is also congruent.
It satisfied the HL theorem.
And both the triangles are congruent to each other using HL theorem.
Option C. is true.
d. IN fourth pair of triangles,
Triangles are not right angled triangle.
It satisfied the SSS (Side -Side- Side) congruency theorem.
It is not a correct option for HL theorem.
Therefore, pair of triangles which satisfied the HL theorem of congruency is option C. Both right triangles.
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The answer is C
Step-by-step explanation:
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Answers
is because you said "the right rectangular prism shown" and then you didn't
show it. So all I can tell you is this:
-- The volume of each small cube is
(1/4) x (1/4) x (1/4) = 1/64 cubic inch .
-- The volume of the right rectangular prism that's not shown is
(length in inches) x (width in inches) x (height in inches) cubic inches.
The number of small cubes needed to fill the invisible right rectangular prism is ...
(volume of the missing right rectangular prism)
divided by
(volume of each small cube) .
That's
(volume of the alleged right rectangular prism)
divided by
(1/64 cubic inch)
= (64) times(volume of the rumored right rectangular prism) .
Answers
Answer:
Step-by-step explanation:
1) (xy+ 9y + 2) and (xy – 3)
Each term of second expression will be multiplied by first bracket.
xy(xy+9y+2) -3(xy+9y+2)
x²y²+9xy²+2xy-3xy-27y-6
x²y²+9xy²-xy-27y-6
2)(2xy + x + y) and (3xy2 – y)
3xy²(2xy+x+y) -y(2xy+x+y)
6x²y³+3x²y²+3xy³-2xy²-xy-y²
6x²y³ – 2xy² + 3x²y² – xy + 3xy³ – y²
3) (x – y) and (x + 3y)
x(x-y) +3y(x-y)
x²-xy+3xy-3y²
x²+2xy-3y²
4) (xy + 3x + 2) and (xy – 9)
xy(xy + 3x + 2) -9(xy + 3x + 2)
x²y²+3x²y+2xy-9xy-27x-18
x²y²+3x²y-7xy-27x-18
5) (x2 + 3xy – 2) and (xy + 3)
xy(x2 + 3xy – 2) +3(x2 + 3xy – 2)
x³y+3x²y²-2xy+3x²+9xy-6
x³y+3x²+3x²y²+7xy-6
6) (x + 3y) and (x – 3y)
x(x + 3y) -3y(x + 3y)
x²+3xy-3xy-9y²
x²-9y² ....
Answer: (xy + 9y + 2) and (xy – 3) —> x3y + 3x2 + 3x2y2 + 7xy – 6
(2xy + x + y) and (3xy2 – y) —> 6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2
(x – y) and (x + 3y) —> (x + 3y) and (x – 3y)
(xy + 3x + 2) and (xy – 9) —> x2y2 + 3x2y – 7xy – 27x – 18
Step-by-step explanation:
I think that’s right I’m sorry if it’s not.
A. 5/16
B. 5/4
C. 5/8
D. 5/2
Answers
Answers
Final answer:
The data distribution is a normal distribution with a mean of 10. The spread of the data is 5 and there are no outliers.
Explanation:
- The data distribution can be described as a symmetric bell-shaped curve, indicating a normal distribution. The center of the distribution is the mean, which can be calculated by adding up all the numbers and dividing by the total count. In this case, the mean is 10.
- The spread of the distribution can be determined by calculating the range, which is the difference between the highest and lowest values. In this case, the range is 12 - 7 = 5.
- To determine if there are any outliers, we can use the concept of the interquartile range (IQR). The IQR is the range of the middle 50% of the data. First, we need to calculate the first quartile (Q1), which is the median of the lower half of the data, and the third quartile (Q3), which is the median of the upper half of the data. In this case, Q1 = 9 and Q3 = 11.
- The IQR is then calculated as Q3 - Q1 = 11 - 9 = 2. Any data point that falls below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR is considered an outlier. Since there are no numbers that meet this criteria in this dataset, there are no outliers.
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Answers
Answer: B
Step-by-step explanation:
First find perimeter of ABC which is 21
Next multiply 21 by 0.6 to get 12.6
Answer is B.12.5 feet.
hope it helps
The reasonable domain is the set of natural numbers.
O
The reasonable domain is the set of positive real
numbers.
The reasonable domain is the set of real numbers
greater than 3.25.
The reasonable domain is the set of whole numbers
greater than 3.25.
O
Answers
Answer:
The reasonable domain is the set of natural numbers.
Step-by-step explanation:
When we talk about a reasonable domain for a function, we refer to all values inside the domain set that makes sense to the problem which models the function. For example, if the function models people's age, then the reasonable domain must be all positive integers.
In this case, we have the function
Where represents the number of cars.
The mathematical domain refers to the comple domain set, using negative and positive numbers. However, the mathematical domain doesn't make sense to this problem, because the domain represents cars, and they cannot be represented by negative numbers and decimals.
So, the reasonable domain to this function is the set of all natural numbers, because they are positive and integers.
Therefore, the right answer is the first choice.