Answer:
Step-by-step explanation:
There are 180 degrees in a triangle. With that information we can make the equation: 180=(47+85)+x.
When you solve it becomes:
180=132+x --> x=48 degrees
Hope that helped!
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ <u>10x - 5y = 5</u>
y = -17
5x - 2(-17) = -6
5x + 34 = -6
<u> - 34 - 34</u>
<u>5x</u> = <u>-40</u>
5 5
x = -8
(x, y) = (-8, -17)
2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ <u>10x + 4y = 32</u>
<u>11y</u> = <u>2128</u>
11 11
y = 193.4545455
2x + 3(193.4545455) = 432
2x + 580.3636364 = 432
<u> - 580.3636364 - 580.3636364</u>
<u>2x</u> = <u>-148.3636364</u>
2 2
x = -74.1818182
(x, y) = (-74.1818184, 193.4545455)
The estimate for the total number of bees in her hive is 190 bees
<h3>How to find the total estimate of the bees ?</h3>
She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.
On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.
This means only 100 bees have not been marked on Tuesday.
Therefore, the total number of bee in her hives is as follows:
total number = 90 + (120 - 20)
total number = 90 + 100
total number = 190 bees
learn more on estimate here:brainly.com/question/16670022
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Answer:
they have lower interest rates and can be paid back with a lower out of pocket cost
Step-by-step explanation:
Student loans are issued as a kind of financial aid that assist students in their quest to acquire higher education. Private student loans are offered by the private-sector lenders. The alternative to this is a Federal loan.
Actually, private student loans are issued at a lower interest rate. Option of a fixed or variable interest rate may be offered on privately issued student loans. This offers a lower out of pocket cost, hence the answer.
<h2>
d ≈ 19.1 cm</h2>
<em>Using the formulas</em>
<em>C = 2πr</em>
<em>d = 2r</em>
<em>Solving for 'd' (diameter)</em>
<em>d = C</em>
<em>π = 60</em>
<em>π ≈ 19.09859cm</em>
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