Answer:
C, D and E
Step-by-step explanation:
Given
Represent solid beads with S and clear beads with C
So:

Required
Select operations that give an equivalent ratio
First, we need to get the unit ratio

Divide through by 4
-- This means that, after any operation. The equivalent ratio must be 2: 5
Option A: Add 2 to S and 2 to C

Perform the operation


Divide through by 2

Option B: Subtract 8 from S and 6 from C

Perform the operation


Option C: Multiply S and C by 2

Perform the operation


Divide through by 8

Option D: Divide S and C by 4

Perform the operation


Option E: Multiply S and C by 18

Perform the operation


Divide through by 72


<em>From the calculations above, options C, D and E gave an equivalent of 2:5.</em>
Answer:
The segment that extends from the vertex of a triangle to the <u>opposite</u> side and is perpendicular to the side of the triangle is called the altitude.
Step-by-step explanation:
Please find the attachment.
We have been given an incomplete statement. We are supposed to complete the given statement.
Statement: The segment that extends from the vertex of a triangle to the _____ side and is perpendicular to the side of the triangle is called the altitude.
By the definition of altitude, an altitude of a triangle is a line segment from a vertex that is perpendicular to the opposite side.
Therefore, the correct word for our given statement would be "opposite".
Answer:
8 minutes
Step-by-step explanation:
time = distance/speed
A decrease of 15 mph from 45 mph means the speed on the second segment is 30 mph. Filling in the given values in the above equation, we have ...
... time = (4 mi)/(30 mi/h) = 4/30 h = 8/60 h × (60 min/h) = 8 min
The plane you want is parallel to another plane, <em>x</em> - <em>y</em> + <em>z</em> = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains <em>r</em><em>(t)</em>. Then the equation of the plane is
⟨<em>x</em>, <em>y</em> - 4, <em>z</em> - 4⟩ • ⟨1, -1, 1⟩ = 0
<em>x</em> - (<em>y</em> - 4) + (<em>z</em> - 4) = 0
<em>x</em> - <em>y</em> + <em>z</em> = 0