Answer:
1. <u>+12x</u> and <u>15</u>
2. <u>14x</u>
3. <u>2</u>
Step-by-step explanation:
Step 1: Distribute -3
To distribute -3, you would multiply both -4x and -5 by -3, changing them to 12x and 15
Step 2: Combine 12x and 2x
Then you would combine like terms, meaning that you would add 12x and 2x, creating 14x.
Step 3: Combine 15 and -13
You would finish combining like terms by adding 15 to -13, creating 2
Answer:
Step-by-step explanation:
Remark
The problem asks you to identify the triangles. They are similar. The reason they are similar is by AA. That means that 2 of the angles are identified as equal in each triangle.
Proof
Both triangles contain a right angle....................That's given.
The mirror has an interesting property. It is stated as the angle of incidence = the angle of reflection. That property is marked by the lines hitting the mirror towards your right. If you do not know what incidence and reflection mean, just notice that the angles are marked as equal and call it given.
The base angles are equal ....................................Given
Here it is more formally
B and D are right angles ..................... Given
<AMB = <CMD Property of a mirror
Triangle AMB similar Triangle CMD AA in 1 triangle = AA in the other.
Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.
MPH stands for Miles Per Hour, so if you're traveling at 75 MPH, that's 75 miles per hour, so 75.
