Answer:
4/13 is the answer
total = 4+3+5+1= 13
let a be the event of getting red marbles= total is 4
probability=4/13
The answer is
-15See the attached image for the steps on how I got that answer.
The Business bought a total of 2048 pens.
Easiest way to solve this is to add the amount of bags the business bought.
7 + 9 = 16
After you find to total amount of bags bought you multiply the amount of pens in each bag by the total amount of bags the business bought.
16 * 128 = 2048
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ
In the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
Answer:
The correct answer for this is 
.
Step-by-step explanation:
As it can be seen from the attached graph image:
- The <em>y-axis </em><em>increases in positive</em> values when we move in up direction i.e. we have +<em>y-axis </em>in upward direction.
- The <em>y-axis </em><em>decreases and keeps on becoming more and more negative</em> values when we move in down direction i.e. we have -<em>y-axis </em>in downward direction.
- The <em>x-axis </em><em>increases in positive</em> values when we move in right direction i.e. we have <em>+x-axis </em>in right direction.
- The x<em>-axis </em><em>decreases and keeps on becoming more and more negative</em> values when we move in left direction i.e. we have <em>-x-axis </em>in left direction.
Now, according to question, the translation is performed 6 points up i.e. towards positive y-axis and 4 points towards left i.e. towards negative x-axis.
And, as per rule, the co-ordinates are represented as 
where 
is the x-co-ordinate and 
is y-co-ordinate.
So, the answer here is .
