Answer and Step-by-step explanation:
Number of ways = 59C5 × 35= 59!/(54!*5!)* 35= 175223510
Odds are thus 1 in 175223510
b) 1 million - Number of ways = 59!/(54!*5!) =5006386*35/34 = 5153632
Odds are thus 1 in 5153632
Step 1. Simplify 9^2 to 81
81 <span>÷ (-3)^0
Step 2. Use Rule of Zero: x^0 = 1
81 </span><span>÷ 1
Step 3. Simplify
81</span>
The first one is 0.97 the second one is 6
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:
51,000/x = 85/100
This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.
Answer:
SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS