Answer:
See explanation
Step-by-step explanation:
<u> ASA Postulate (Angle-Side-Angle):</u>
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
- ∠X≅∠Z (given)
- XY≅ZY (given)
- ∠Y is common angle
By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ
<u>Given</u>:
The given triangle is a similar triangle.
The length of the hypotenuse is 18 units.
The length of the leg is a.
The length of the part of the hypotenuse is 16 units.
We need to determine the proportion used to find the value of a.
<u>Proportion to find the value of a:</u>
We shall find the proportion to determine the value of a using the geometric mean leg rule.
Applying the leg rule, we have;
Substituting the values of hypotenuse, leg and part, we get;
Thus, the proportion used to find the value of a is
Hence, Option D is the correct answer.
Hello,
When you have a polygon inscribed in a circle, the opposite angles are supplementary.
So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.
If we input that in for angle B, we get: 2(25) - 10 = 80.
If angle B = 80, then angle D must be 100, because the angles are supplementary.
Good luck,
MrEQ
Answer:
C. 9 gallons per minute
Step-by-step explanation:
Divide 135 by 15 to see how many gallons he can fill in one minute.
135 ÷ 15 = 9
Hope this helps!
Answer:
f(3) = 7
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 4(3) - 5 = 12 - 5 = 7
