Answer:
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Step-by-step explanation:
We are given the following in the question:
"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."
Independent and Dependent Variable:
- Dependent variable is the variable whose value depends on the independent variable.
- Independent variable is the free variable.
For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.
Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.
Thus, the correct answer is
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Answer with explanation:
In Δ ABC and ΔD BC
∠A=∠D-------Given
∠ABC=∠DCB-------Each being 90° given in the Diagram.
Side, BC is Common.
⇒⇒Δ ABC ≅ ΔD BC-------[AAS]
When two triangles are congruent , their areas are equal.
So, Area(ABC)=Area (DCB)
Option B :⇒ A AS
Answer:
The ratio of the number of female teachers to the number of male teachers is 18:5.
Step-by-step explanation:
First: Review how to write a ratio:
To write a ratio, take the two quantities, and put them on both sides of a colon (:). So, our two quantities our 18 and 5. But, they need to be in a specific order:
There are 18 female teachers and 5 male teachers at Ashley's school. What is the ratio of the number of female teachers to the number of male teachers?
Since, they mentioned the number of female teachers first, we put the quantity of female teachers first. So we will write 18 first and 5 after. So, the ratio is 18:5.
Thank you for reading
Topic: Ratios
Let us assume the first number to be = x
Let us assume the second number to be = y
Then
x^2 - y^2 = 5
x^2 = y^2 + 5
And
3x^2 - 2y^2 = 19
Multiplying the first equation by -2, we get
- 2x^2 + 2y^2 = - 10
Now subtracting the two equations, we get
x^2 = 9
x = 3
Putting the value of "x" in the first equation, we get
(3)^2 - y^2 = 5
9 - y^2 = 5
y^2 = 4
y = 2
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
Answer:
1612.5
Step-by-step explanation:
1500 x7.5% = 112.5
112.5 +1500 = 1612.5
