Answer:
A) AAS; B) LA; C) ASA
Step-by-step explanation:
AAS is the Angle-Angle-Side congruence statement. It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent. In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK. These are two angles and a non-included side; this is AAS.
LA is the leg-acute theorem. It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.
The leg we have congruent from each triangle is DE and JK. We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute. This is the LA theorem.
ASA is the Angle-Side-Angle congruence statement. It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.
We have that ∠D≅∠J, DE≅JK and ∠E≅∠K. This gives us two angles and an included side, or ASA.
Answer:
![\sqrt[3]{ - 0.125} = \sqrt{ - 1} \times \sqrt[3]{0.125 } \\ = 5i](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20-%200.125%7D%20%20%3D%20%20%5Csqrt%7B%20-%201%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B0.125%20%7D%20%20%5C%5C%20%20%3D%205i)
here i equals √-1
Step-by-step explanation:
Answer is 5i
If you have any doubts write in comments box.
HAVE A NICE DAY !
<span>X-Y=4,
X+Y=2
-------------add
2x = 6
x = 3
X - Y =4
3 - Y = 4
Y = 3 - 4
Y = -1
solution (3 , -1)</span>
Answer:
That is 74 years.
Step-by-step explanation:
1.5% = 0.015.
The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.
Triple the population is 430,000 * 3 = 1,290,000, so:
1,290,000 = 430,000(1.015)^n
(1.015)^n = 1290,000 / 430,000 = 3
Taking logs of both sides:
n log 1.015 = log 3
n = log 3 / log 1.015 = 73.8 years
It is arithmetic.
It starts at - 5,
the next item is 0 then 5 and next is 15 ...
============
It isn't geometric. You are not multiplying by 5
The second term must be and not- 5 * 5 = - 25
============
A Fibonacci series adds the previous two terms together to get the next term
Usually it starts at 0, but it doesn't need to.
0,1,1,2,3,5,8,13,21,34 ....
