Answer:
x= 34°
y=5
Because segments AB and BC are congruent, their corresponding angles (<BAD and <BCD) would also be congruent to each other, meaning that both would be 56°.
Knowing that triangles add up to 180°, the whole triangle (ABC) would then have 2 angles that are 56° and the top angle (<ABC) would be 68°
Splitting those in half ( because <ABD and <CBD are congruent), each would be 34° (thus x=34°)
Looking now at the two separate triangles (ABD and CBD), we can determine that both <BDA and <BDC are 90° (right angles) because 180-34-56=90°.
Therefore, since both triangles have all congruent angles, both triangles are the same! So, since segment AD=5, segment CD would also be 5 (y=5).
The starting salary is $35,000.
Salary is increased by 6% at the end of every year.
Nos of years worked = 16 years
Total salary earned in 16 years is given by An * (( 1+i )^n - 1 ) / i
Where, An = Present Salary = $35000
i = Increase in salary per year = 6% = 0.06
n = number of years = 16
= 35000 * ( 1.06 ^16 - 1 ) / .06
= 35000 * ( 2.54035 - 1 ) / .06
= 35000 * 1.54035 / .06
= 898538
Total earnings in 16 years is $ 898538
Answer:
Step-by-step explanation:
(3+9) + 13 could also be written as:
3 + 9 + 13 = 25, or
3 + (9 + 13) = 3 + 22 = 25, or
(3 + 9) + 13 = 12 + 13
We can group the addends in any way desired; this illustates the associative property.
Answer:
y=7
Step-by-step explanation:
2x2=4 +3 =7 y
