1) Find the length of the diagonals of the greater rhombus
NJ=9 units
XY=6 units
Find the the ratio
NJ/XY=9/6-------> 3/2
2) Find the length of the diagonals of the smaller rhombus
HS=6 units
ZC=4 units
Find the the ratio
HS/ZC=6/4-------> 3/2
so
NJ/XY=HS/ZC--------> the rhombus are similar
the scale factor is equal to ------> 3/2=1.5
measure greater rhombus =scale factor*measure smaller rhombus
measure greater rhombus =1.5*measure smaller rhombus
measure smaller rhombus=(measure greater rhombus/1.5)
therefore
the answer is
Yes , they are a scaled copies and the scale factor is equal to 1.5
Hi!
y = kx
k = y/x
In this case:
k = 4/8 = 3/6 = 2/4 = 1/2
The answer is A. 1/2
Hope this helps!
The answers are:
3. Addition property of equality
4. - Simplification
7.
To solve the problem, we need to start with the result of the second step:
So,
For the step 3:
Then, for the 3rd step, we have to apply the addition property of equality.
The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.
Then, applying the property, we have:
Adding 7 to both sides, we have:
For the step 4:
Now, for the 4th step, we have to simplify the expression:
Then, simplifying, we have:
For the step 7:
Simplificating, we divide each side of the equality by 6:
Have a nice day!
Answer:
No, it is not.
Step-by-step explanation:
Answer: Ues
Step-by-step explanation:
1. Make sure you are paying attention to the tenths place
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk