Answer:
18 + x or x + 18
Step-by-step explanation:
Hi there! I'm glad I was able to help you solve this math problem!
We are already given the number eighteen to start with, so this helps us a lot.
Since the word INCREASED means to add, and <u>we're increasing eighteen by x</u>, all you have to do is write it out to get your algebraic expression, as shown:
18 + x
You can also write the expression as x + 18! It doesn't matter what order you write it in.
I hope this helped you! You can comment below if you have any further questions! :)
Answer:
1. 5
2. 6
3. 1
4. 4
5. 2
6. 3
Step-by-step explanation:
→<u>Number 1 is paired with explanation 5</u>, because it explains how a certain pair can be associated with one another, and provides the example of corresponding angles.
→<u>Number 2 is paired with explanation 6</u>, because the explanation states how angles are paired with one another based on the correspondence between them.
→<u>Number 3 is paired with explanation 1</u>, because the explanation states how sides are paired with one another based on the correspondence between them.
→<u>Number 4 is paired with explanation 4</u>, because the explanation is talking about how figures can be congruent to one another.
→<u>Number 5 is paired with explanation 2</u>, because the explanation states the definition of an included angle.
→<u>Number 6 is paired with explanation 3</u>, because the explanation states the definition of an included side.
Answer:
The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.
Step-by-step explanation:
Let the Area of smaller watch face be 
Also Let the Area of Larger watch face be 
Also Let the radius of smaller watch face be 
Also Let the radius of Larger watch face be 
Now given:
We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.
Solution:
Since the watch face is in circular form.
Then we can say that;
Area of the circle is equal 'π' times square of the radius 'r'.
framing in equation form we get;
So we get;
Substituting the value we get;
Now 'π' from numerator and denominator gets cancelled.
Now Taking square roots on both side we get;
Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.
Answer:
k > 12
Step-by-step explanation:
If a quadratic equation has no real roots the values of b^2 - 4ac
( for the general form ax^2 + bx + c = 0) is negative,
So we have the inequality:
(-12)^2 - 4*3* k < 0
144 - 12k < 0
12k > 144
k > 12
