Depth: 7/2 feet
Rate: 5/4 feet per hour
Time = depth / rate of filling
Time = 7/2 / 5/4
Time = 14/5
Time = 2 4/5 hours
<u>Given</u>:
Given that the isosceles trapezoid JKLM.
The measure of ∠K is 118°
We need to determine the measure of each angle.
<u>Measure of ∠L:</u>
By the property of isosceles trapezoid, we have;
![\angle K+\angle L=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20K%2B%5Cangle%20L%3D180%5E%7B%5Ccirc%7D)
![118^{\circ}+\angle L=180^{\circ}](https://tex.z-dn.net/?f=118%5E%7B%5Ccirc%7D%2B%5Cangle%20L%3D180%5E%7B%5Ccirc%7D)
![\angle L=62^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20L%3D62%5E%7B%5Ccirc%7D)
Thus, the measure of ∠L is 62°
<u>Measure of ∠M:</u>
By the property of isosceles trapezoid, we have;
![\angle L \cong \angle M](https://tex.z-dn.net/?f=%5Cangle%20L%20%5Ccong%20%5Cangle%20M)
Substituting the value, we get;
![62^{\circ}=\angle M](https://tex.z-dn.net/?f=62%5E%7B%5Ccirc%7D%3D%5Cangle%20M)
Thus, the measure of ∠M is 62°
<u>Measure of ∠J:</u>
By the property of isosceles trapezoid, we have;
![\angle J \cong \angle K](https://tex.z-dn.net/?f=%5Cangle%20J%20%5Ccong%20%5Cangle%20K)
Substituting the value, we get;
![\angle J =118^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20J%20%3D118%5E%7B%5Ccirc%7D)
Thus, the measure of ∠J is 118°
Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°
Hello
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is A
Answer:
A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.
Step-by-step explanation:
Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.
<h3>Application</h3>
The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.
The appropriate description is that of choice A.
Answer:
Yes. Both are graphing calculators. TI 83 has a black only screen while the TI 84 has a colored screen