Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary
Answer:
3
Step-by-step explanation:
List all possible factors of each number. The GCF will be the largest number they both share
Factors of 18: 1, 2, 3, 6, 18
Factors of 15: 1, 3, 5, 15
The largest number they both share is 3, so that is the GCF
<h3>
Answer: -3/4 (choice C)</h3>
==================================================
Explanation:
Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.
Adding on another quarter slice gets us 4/4+1/4 = 5/4
In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.
So 1 & 1/4 = 5/4
This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.
Now we'll add on 1/2, which is the same as 2/4, like so
(-1 & 1/4) + 1/2
-(1 & 1/4) + 2/4
-(1 + 1/4) + 2/4
-1 - 1/4 + 2/4
-1 + (-1/4 + 2/4)
-1 + 1/4
-4/4 + 1/4
-3/4
which points us to choice C as our final answer
Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.
Side note: -3/4 converts to the decimal -0.75
Answer:
- D) A vertical dilation by a factor of 3 and a vertical shift down 2 units
Step-by-step explanation:
<u>Given</u>
- f(x)=10^x
- g(x)=3(10)^x - 2
<u>We see that:</u>
This is a vertical stretch by a factor of 3 and translation down 2 units
Correct choice is D
