True by the angle angle side theorem.
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Answer:
Option A is correct.
Yes, it is true that the triangles shown are congruent.
Step-by-step explanation:
Labelled the diagram as shown below in the attachment:
In triangle ABC and triangle PQR
[Angle]
[Angle]
units [Side]
AAS(Angle-Angle-Side) postulates states that the two angles and the non- included side of one triangle are congruent to the two angles and the non-included side of the other triangle., then the triangles are congruent.
Then, by AAS
Therefore, the given triangles shown must be congruent.
To find the nth term of the given sequence 7, 10, 13, 16, 19, use the formula: nth term = first term + (n - 1) * common difference.
The given sequence is 7, 10, 13, 16, 19. To find the nth term of this sequence, we first observe that each term is the result of adding 3 to the previous term. So, we can say that the sequence follows a common difference of 3. To find the nth term, we can use the formula: nth term = first term + (n - 1) * common difference.
In this case, the first term is 7 and the common difference is 3. So, the nth term can be found using the formula: nth term = 7 + (n - 1) * 3.
Therefore, the nth term of the sequence 7, 10, 13, 16, 19 is 7 + (n - 1) * 3.
#SPJ12
We can see that the lines intersect at: (-5,-3)
Step-by-step explanation:
Given system of equations is:
Lets convert the second equation in the same form as the first equation
Adding 3y on both sides
Dividing both sides by 3
The graph of equation can be plotted using manual graphing or any online graphing calculator
We will use the Desmos online graphing calculator to graph the equations (Picture attached)
We can see that the lines intersect at: (-5,-3)
Keywords: Graphing, linear equations
Learn more about linear equations at:
#LearnwithBrainly
side length in the right
triangle.
36
77
Answer:
x=41
Step-by-step explanation:
To find the missing side length in a right triangle, use the Pythagorean theorem. In this case, the missing side length is approximately 74.92.
To find the missing side length in a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have one side length given as 36 and another side length given as 77. Let's label the missing side length as 'x'. Using the Pythagorean theorem, we can write the equation:
x^2 = 77^2 - 36^2
Solving this equation, we get x ≈ 74.92 (rounded to two decimal places).
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