Answer:
46
Step-by-step explanation:
I found the angle by taking the opposite side of the angle, 38, and dividing it by the hypotenuse, 53.
Then I used the inverse sine function on 38/53 to get the angle 45.81, which I rounded to 46.
You factor it. You can use the quadratic formula, completing the square, graphing, and the MATER P method
Let
. Then differentiating, we get

We approximate
at
with the tangent line,

The
-intercept for this approximation will be our next approximation for the root,

Repeat this process. Approximate
at
.

Then

Once more. Approximate
at
.

Then

Compare this to the actual root of
, which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.
Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Δ ABC is isosceles triangle.
Therefore, AB = BC
Prove: Δ ABO ≅ Δ ACO
In Δ ABO and Δ ACO,
∠ BAO ≅ ∠ CAO ( AO bisects ∠ BAC )
∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )
BO ≅ OC ( O is the mid point of BC)
Thus, By ASA postulate of congruence,
Δ ABO ≅ Δ ACO
Therefore, By CPCTC,
∠B ≅ ∠ C
Where ∠ B and ∠ C are the base angles of Δ ABC.