Answer:
Below in bold.
Step-by-step explanation:
The smaller one has side 2 and the corresponding side on the larger one is 5, so the answer is 2/5.
The individual sides and perimeter are one-dimensional, so:
The ratio of their perimeters is the same 2/5.
The ratio of their areas ( which is 2 dimensional) is 2^2/5^2 = 4/25.
Answer:
SOH-CAH-TOA
= 40.60°
SOH = SIN = OPP/HYP
SIN(Θ) = 6/
Step-by-step explanation:
Answer:
11. B.
12. C.
13. A.
14. D.
Step-by-step explanation:
for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them
for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.
for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.
for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.
Y=2x + 6. ( because 2x is 2 quarters a day and you started with 6
Given:
The system of equations is
To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,
Taking all the terms on the left side, the given equations can be rewritten as
The system of equations 
and 
have infinitely many solutions if
We have,
Now,
On cross multiplication, we get
Therefore, the missing value is -10.
