Answer:
Answering all questions given in that image. (Taking my time to do this)
Step-by-step explanation:
<em>5. </em> I believe it's C) 45 degrees. They gave you an interior angle of 25 degrees. Exterior angles make up interior angles due to the supplementary rule (I think?) All the angles must add up to 180 degrees. 70 + 110 = 180 (exterior angle). 180 - (110 + 25) = 45. This is just a brief explanation.
<em>6.</em> Congruent Triangles have the same side length and angles. Triangle ABC has an angle that adds up to 130 degrees. 180 - 130 = 50 (using the same rule as before). So angle F must equal angle A, which is 50 degrees.
<em>7. </em>Complementary angles add up to 90 degrees. If an angle is greater than 45 degrees, then it must be less than 45 degrees to add up to 90 degrees.
<em>8. </em>Stacking coins or any circular object of that kind is essentially adding multiple circles (surface area X number) on top of each other which would provide the shape of a cylinder.
<em>9. </em>Right of the bat, it's option A. It's option A because triangle ABD is similar to triangle ADC due to them having similar side lengths and angle measurements. We can rule the other options out because they don't match.
<em>10. </em>It's Supplementary. Any two lines intersecting at a point will form angles that equal angles on the other side, as well. This rule is called the supplementary rule. (I'm so sorry for the bad explanation). The vertically opposite angle will be the one that's also adjacent to the same angle, which makes 180 degrees, combined.
<u>Please Brainliest me if this helped! Have a good day! :)</u>
Given:
amount borrowed: 1,058
interest rate: 13%
term: 9 months
I'm assuming that the 13% rate is the annual interest rate. I'm also assuming that this problem is a simple interest problem.
Interest = Principal * rate * term
Interest = 1,058 * 13% * 9/12
Interest = 103.16
Total payment = Principal + interest
Total payment = 1,058 + 103.16 = 1,161.16
His monthly payment will be:
1,161.16 / 9 mos = 129.02
Devin will pay a 129.02 per month for 9 months to pay off his loan principal of 1,058 and the interest of 103.16.
4a-9b=22
substitute b=-2
4a -9(-2) = 22
4a +18 =22
subtract 18 from each side
4a = 4
divide by 4
a =1
Choice C
A.
csc is equal to the opposite divided by the hypotenuse.
