Answer:
Yes The triangles are similar by SAS Similarity Theorem
Step-by-step explanation:
we know that
<u>Side-Angle-Side Similarity,</u> states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar
In this problem
Angle L is congruent with Angle Z
so
Verify if the included sides are proportional
so
substitute the values
-----> is true
therefore
The triangles are similar by SAS
Answer:
First number =26
Second number =49
Step-by-step explanation:
Question:
The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.
Given:
Sum of two numbers = 75
The second number is 3 less than twice the first.
To find the numbers.
Solution:
Let the first number be =
Let second number be =
The sum equation can be given as:
It is given that the second number is 3 less than twice the first.
This can be given as:
Substituting the value of in terms of
in the sum equation.
Combining like terms.
Adding 3 both sides.
Dividing both ides by 3.
Substitution in the second equation to find
.
Thus, first number =26 and second number =49.