The angles are congruent meaning that you can set them equal to each other:
26 = 5x + 11
Now you can solve for x
26 - 11 = 5x + (11 - 11)
15 = 5x
15/5 = 5x/5
x = 3
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as
Volume = L × W × H
Where
H represents the thickness of the gravel to be added to the driveway.
W represents the width of the driveway.
L represents the length of the driveway.
From the information given,
L = 15 yards
W = 3 yards
H = 6 inches.
36 inches = 1 yard
6 inches = 6/36 = 0.167 yard
Therefore, the volume of gravel required would be
V = 15 × 3 × 0.167 = 7.515 cubic yards
Answer:
30.3
Step-by-step explanation:
To put it simply, 12 degrees C is 12 away from 0 and -20 degrees C is 20 away from 0. Taking these two inputs and adding them together should give you 32. So 12 degrees C is 32 degrees warmer than -20 degrees C
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
#SPJ1
