It is possible to see that the angle DCB is a right angle. It is also seen that sides CD and CB are congruent. So, the measure of angles CDB and CBD is the same. Since the sum of the three angles must be equal to 180°, the angle CDB must be equal to 45°.
∠CDB + ∠CBD + ∠DCB = 180°
∠CDB + ∠CBD + 90° = 180° (Replacing the value of angle DCB)
∠CDB + ∠CBD = 180° - 90° (Subtracting 90° on both sides of the equation)
∠CDB + ∠CBD = 90° (Subtracting)
2*∠CDB = 90° (Since ∠CDB = ∠CBD )
∠CDB = 90°/2 (Dividing by 2 on both sides of the equation)
∠CDB = 45°
Answer:
The answer to your question is: ![\sqrt[4]{2^{3} } + 1](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%5E%7B3%7D%20%7D%20%2B%201)
Step-by-step explanation:
= ![\sqrt[4]{2^{3} } + 1](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%5E%7B3%7D%20%7D%20%2B%201)
Answer: the answer to you question is c
Answer:
<em>(8.21, -20.79)</em>
Step-by-step explanation:
Given the simultaneous equation;

From 2;
a = 29 + b ....3
Substitute 3 into 1;

Factorize
b = -18±√18²-4(-58)/2
b = -18±√324+232/2
b = -18±√556/2
b = -18±23.58/2
b = -18-23.58/2 and -18+23.58/2
b = -41.58/2 and 5.58/2
b = -20.79 and 2.79
Since a = 29 + b
when b = -20.79
a = 29 - 20.79
a = 8.21
<em>Hence the solution to the system of equation is (8.21, -20.79)</em>
Answer:
The answer is 8 days.
Step-by-step explanation:
By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table
Day - Todd - Seth
1 - 95 - 130
2 - 90 - 120
3 - 85 - 110
4 - 80 - 100
5 - 75 - 90
6 - 70 - 80
7 - 65 - 70
8 - 60 - 60