Answer:
m < B = 55°
Step-by-step explanation:
The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In this given problem, the exterior angle of the Δ ABC is < C. The remote interior angles of < C are < B and < A. The sum of these two remote interior angles is equal to the m < C.
We're also given the information that m< C = 115°, m < A = 4y°, and m < B = (3y + 10)°
Therefore, to solve for the m < B, we can establish the following formula:
m < A + m < B = m < C
4y° + (3y + 10)° = 115°
4y° + 3y° + 10° = 115°
Add like terms:
7y° + 10° = 115°
Subtract 10° from both sides:
7y° + 10° - 10° = 115° - 10°
7y° = 105°
Divide both sides by 7 to solve for y:
7y°/7 = 105°/7
y = 15°
Therefore, the value of y = 15. To verify whether this is the correct value, substitute y = 15 into the equality statement:
m < A + m < B = m < C
4(15)° + [3(15) + 10]° = 115°
60° + 55° = 115°
115° = 115° (True statement, which means that y = 15 is the correct value).
Therefore, m < B = (3y + 10)° = 55°
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Answer:
Check the explanation
Step-by-step explanation:
where the letter D is the diagonal matrix with diagonal entries λ1,…,λn. Now let's assume V is invertible, that is, this particular given eigenvectors are linearly independent, you get M=VDV−1.
Kindly check the attached image below to see the step by step explanation to the question above.
0.000000000093
Answer:
your answer for 0.000000000093 would defiantly be 9.3 x 10^-11
Step-by-step explanation: i know this cause i took the test and got it wright
Answer:
k < -2
Step-by-step explanation:
Step 1: Write inequality
4k + 2(3k + 8) < 3k + 10 - 8
Step 2: Solve for k
Answer:
10k+16<3k+2
10k-3k+16<2
7k<2-16
k<-2
Answer:
um 1630 divided by 96 and divided by 3equals the answer ? yes yes i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
The null hypothesis is the commonly accepted fact, if you were to make an experiment, you'll state in the null hypothesis what is already known of your population, another way to see it is that the null hypothesis has the "no change" statement. When doing a statistic test you seek to nullify the null hypothesis to replace it with the alternative hypothesis, i.e., the objective of any hypothesis test is to invalidate this hypothesis not to prove the alternative hypothesis right.
In short words, you work to annulate what is accepted knowledge and not to prove what you think happens.
I hope it helps!