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°.
5 over y plus 5. you combine the fractions by finding the common denominator
The investment with the bigger return is investment B.
<h3>What is simple interest and compound interest?</h3>
Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued. This differs from compound interest where the debt holder pays interest on the principal and the interest rate already accrued
<h3>What is the compound interest?</h3>
The formula for calculating future value:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
2000 x (1.06)^12 = $4024.39
Compound interest = $4024.39 - $2000 = $2024.39
<h3>What is the simple interest? </h3>
Simple interest = principal x time x interest rate
2000 x 0.08 x 12 = $1920
To learn more about future value, please check: brainly.com/question/18760477
See picture reply for answer.
Answer:
Step-by-step explanation:
a) 6305/65= 97
b) 94+94= 188
306-188= 118
