1000000 times larger
Step-by-step explanation:
2x10^2 is 200.
2x10^8 is 200000000
2x10^8 is 1000000 times larger that 2x10^2
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,
Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
Answer:
The two triangles are related by <u> hypotenuse leg </u>
so the triangles are <u> congruent </u>
======================================================
Explanation:
The square markers indicate we have 90 degree angles. This means the two triangles are right triangles.
The tickmarks tell us which sides correspond and are the same length. The double tickmarked sides are the hypotenuses of each triangle. They are the same length because of the matching tickmarks. The same can be said about the legs marked with single tickmarks.
Based on those tickmarks, and the fact we have right triangles, we can use the <u>hypotenuse leg theorem</u> to prove the <u>triangles are congruent</u>.
The hypotenuse leg theorem only works for right triangles.
Since "hypotenuse leg" is used quite often in geometry, it is abbreviated to "HL".
Answer:
Correct option: (A) Someone with dangerous material that pass through security.
Step-by-step explanation:
Before boarding a flight every person has to pass through airport security.
The security checks every person thoroughly before they are confirmed as safe to go.
The security checks every person for some harmful substances like, weapons, chemical,etc.
If a person is caught with any of these objects the security stops them from boarding the plane.
So if a person is flagged as a risk by the airport security, he/she should have been carrying any kind of harmful substances.
Thus, the correct option is (A).
