Answer:
23
Step-by-step explanation:
1 + 4 = 5 so we get 1 4 5
then 4+5 = 9, 1 4 5 9
5+9 = 14, 1 4 5 9 14
9+14 = 23, so
1 4 5 9 14 23
23 is the 6th number in this sequence
Answer:
m∠CEB is 55°
Step-by-step explanation:
Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.
∠ADC = 110° because it is double of ∠ADE.
Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, <u>opposite angles have equal measures</u>.
∠ADC = ∠CBE = 110°
All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:
360° - 2(110°) = 2(∠DCB)
∠DCB = 140°/2
∠DCB = ∠BAD = 70°
∠DCB was bisected by EC, which makes each divided part half.
∠DCE = ∠BCE = (1/2)(∠DCB)
∠DCE = ∠BCE = (1/2)(70°)
∠DCE = ∠BCE = 35°
All triangles' angles sum to 180°.
In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.
∠CEB = 180° - (∠BCE + ∠CBE)
∠CEB = 180° - (35° + 110°)
∠CEB = 55°
Therefore m∠CEB is 55°.
Answer:
- Annabella will save $4950.11 after 2 years.
Step-by-step explanation:
<h3>Given</h3>
- Periodic payment P = $200,
- Period t = 2 years,
- Number of compounds, monthly n = 12,
- Interest rate, r = 3.2% = 0.032.
<h3>To find</h3>
- Future value of saving, F
<h3>Solution</h3>
Use periodic compound formula:

Substitute the values and calculate:
rounded
Answer:
Step-by-step explanation:
5x/20 =45/36
5x = 20(45/36)
5x = 25
x = 5