3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that . Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles and , therefore, by the CSCT these corresponding sides have to be congruent.
4. because it is the opposite.
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5
Answer:
There will be 16 unique variations.
Step-by-step explanation:
you can have:
1. mint and mint
2. mint and chocolate
3. mint and strawberry
4. mint and vanilla
5. chocolate and mint
6. chocolate and chocolate
7. chocolate and strawberry
8. chocolate and vanilla
9. strawberry and mint
10. strawberry and chocolate
11. strawberry and strawberry
12. strawberry and vanilla
13. vanilla and mint
14. vanilla and chocolate
15. vanilla and strawberry
16. vanilla and vanilla
<h3><u>Answer;</u></h3>
= 3,391 viruses
<h3><u>
Explanation;</u></h3>
- The population density is 1.2 viruses per square millimeter.
- This means, each square millimeter is occupied by a population of 1.2 viruses.
Therefore; for an area of 2,826 square millimeters, there will be;
= 2,826 multiplied by 1.2 viruses
= 2,826 × 1.2
= 3391.2 viruses,
and since we can have a fraction or decimal virus then the population would be <u>3391 viruses</u>