The GCF of the three terms (9a, -18b and 21c) is 3
Rewrite each of the terms so 3 is a factor
9a = 3*3a
-18b = -3*6b
21c = 3*7c
So we can say...
9a - 18b + 21c = 3*3a - 3*6b + 3*7c
9a - 18b + 21c = 3(3a - 6b + 7c)
Answer: 3(3a - 6b + 7c)
If you distribute outer 3 to each of the inner terms and multiply, you'll get the original expression again.
Answer:
12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:
Step-by-step explanation:
Answer:
c=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(c+1)=10
(2)(c)+(2)(1)=10(Distribute)
2c+2=10
Step 2: Subtract 2 from both sides.
2c+2−2=10−2
2c=8
Step 3: Divide both sides by 2.
2c
2
=
8
2
c=4
How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
Answer:
Step-by-step explanation:
1. Title of the graph → Comparison of the Plant Growth
2. y-axis represents the height of the plants in centimeters.
3. On day 2:
Height of plant A (plant outside) = 5.1 cm
Height of plant B (plant near the window) = 2.25 cm
4. Plant outside shows great increase in the height.
On day 5,
Height of the plant outside = 6.75 cm
Growth in height from day 2 to day 5 = 6.75 - 5.1
= 1.65 cm
Height of the plant near the window = 2.5 cm
Growth in height of the plant from day 2 to day 5 = 2.5 - 2.25
= 0.25 cm
Therefore, plant outside shows the great increase in height.
5. Plant near the window grew 0.25 cm in height.
