Answer:
61°
Step-by-step explanation:
In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16
with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°
since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)
thus, angle P= 61
Answer:
719 = x
Step-by-step explanation:
877+100=_x_+258
Combine like terms
977 = x+258
Subtract 258
977 -258 = x+258-258
719 = x
Answer:yes
Step-by-step explanation:
You have to simplify each equation
7m +6 - 5 = 15 2m + 5 = 9
7m + 1 = 15 2m = 4
7m = 14 m = 2
M = 2
They both end up with the same answer so they are equivalent
Answer: Ok, we have two numbers, and one of them is an odd integer, and the other is even.
Lets call M to the odd integer and N the even.
We know that a even integer can be written as 2k, where k is a random integer, and a odd integer can be written as 2j + 1, where j is also a random integer.
then M = 2k, N= 2j+1
then the product of M and N is: M*N = 2*k*(2*j + 1) = 2*(k*2*j + k)
is obvious to see that (k*2*J + k) is a integer, because k and j are integers.
then if we call g = ( k*2*J + k), we can write M*N=2g, and we already know that this is an even number. So M*N is a even integer.
The absolute value equation used to solve this problem: | x - 82 | = 12, where x = grade.
<h3>What is an absolute value equation?</h3>
- A statement that contains an absolute value is known as an absolute value equation.
- The absolute value contains the variable of the equation.
Now,
Given:
- The average of grades = 82%
- Variation = 12%
Let 'x' be the value that gives the value of grades.
The absolute value equation to find the grades will be given by: | x - 82 | = 12
=> x - 82 = ± 12
For maximum value of the grades, x - 82 = 12
=> x = 82 + 12
=> x = 94.
For minimum value of the grades, x - 82 = -12
=> x = 82 - 12
=> x = 70.
Hence, The absolute value equation used to solve this problem: | x - 82 | = 12, where x = grade.
To learn more about absolute value equation, refer to the link: brainly.com/question/5012769
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