Answer:
m∠ABC = m∠BED; Corresponding Angles Theorem
Step-by-step explanation:
<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°
<u>Prove:</u> m∠BEC = 40°
Statement Justification
1. line BC is parallel to line ED - Given
2. m∠ABC = 70° - Given
3. m∠CED = 30° - Given
4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate
5. m∠ABC = m∠BED - Corresponding Angles Theorem
6. m∠BEC + 30° = 70° - Substitution Property of Equality
7. m∠BEC = 40° Subtraction Property of Equality
Answer:
56 times (This is still assuming 1 isnt an option)
Step-by-step explanation:
0,2,3,4,5,6,7,8
There are 8 options, 3 of which are greater than 5
3/8
3/8 = x/150
3*150 = 450
8 * x = 8x
8x = 450
450/8 = 56.25
56 times
-- Gage Millar
<u>Answer-</u>
<em>Cooper will receive </em><em>$12.00</em><em> at the end of the month.</em>
<u>Solution-</u>
Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.
So the total principal becomes 1500+500 = $2000
Given here,
APR = annual percentage rate = 7.2%
But as we have to calculate the monthly interest, so monthly interest rate would be 
Time period = 1 month
So, the interest after 1 month will be,



Therefore, Cooper will receive $12.00 at the end of the month.
<span>Because <span>t <span>is given in years and 1.08 <span>= <span>1 <span>+ <span>0.08, the annual percent increase
<span>is 8%.
To find the monthly percent increase that gives an 8% annual increase,
<span>use the fact that
t =

<span><span><span><span>
<span><span><span><span>and the properties of exponents to rewrite the
model in a form that reveals the monthly growth rate.</span></span></span>
</span></span></span></span></span></span></span></span></span></span></span></span></span></span>
Answer:
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61 / 10
Decimal Form:
6.1
Mixed Number Form:
6 1/10