Answer:
x = -4/45
Step-by-step breakdown:
180x=2(30÷3)+17-5•11+2÷1
We first need to simplify the right side. The initial step involves the parentheses
180x=2(10)+17-5•11+2÷1
Next, we multiply and divide, proceeding from left to right after the equals sign.
180x=20+17-5•11+2÷1
180x=20+17-55+2÷1
180x=20+17-55+2
Next, we add and subtract, moving from left to right in relation to the equals sign.
180x=37-55+2
180x =-18+2
180x = -16
Then divide each side by 180
180x/180 = -16/180
x = -4/45
Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. provided
2. ∠CAD and ∠ACB are alternate interior angles 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. congruence of alternate interior angles
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Congruent triangles have congruent corresponding parts (CPCTC)
7. ABCD is a parallelogram 7. theorem for sides of parallelograms
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To determine the future value using simple interest, the formula is: future value = present value (1+n*rate), where n represents the number of years and rate indicates the annual interest as a decimal. By substituting the values into the equation, we find that 10000 = 3900(1 + 0.0783*t). Therefore, we calculate 1 + 0.0783t = 10000/3900, leading to t = (10000/3900 - 1)/0.0783, which equals approximately 19.98 years. For compound interest, the future value is determined by present value (1 + rate/n)^(nt), where n=1, rate=0.0783, future value=10000, present value=3900, ultimately resulting in t = log(10000/3900)/log(1.0783) which yields roughly 12.49 years.
Answer: 12 days
Step-by-step explanation:
Distance = speed x time
2214.50 = 21.14 / t
t = 2214.50 / 21.14 = 104.75 hours
By cycling 9 hours each day, it will take
104.75 / 9 = 11.64 = 12 days
Answer:
80.7 because you multiply
