Question

scientific calculator, identifying trig ratios (diagram), level 2, identifying trig ratios (diagram), level 1, identifying trig ratios (diagram), level 1, pythagorean theorem (radical answers), angles (algebraic), vertical/adjacent/complementary, angles (algebraic), grade 20%, due: december 14 at 8:00 pm, 9. intro to soh - cah - toa, back to home, deltamath, n =, answer, attempt 1 out of 2, solve for the value of n.

Explanation:

Step1: Identify angle relationship

The two angles $(7n - 3)^{\circ}$ and $37^{\circ}$ are complementary (sum to 90°).
So we set up the equation $7n-3 + 37=90$.

Step2: Simplify the left - hand side

Combine like terms: $7n+( - 3+37)=7n + 34$. So the equation becomes $7n+34 = 90$.

Step3: Isolate the variable term

Subtract 34 from both sides of the equation: $7n+34 - 34=90 - 34$. This gives $7n=56$.

Step4: Solve for n

Divide both sides of the equation by 7: $\frac{7n}{7}=\frac{56}{7}$. So $n = 8$.

Answer:

$n = 8$