Question 1:
Since the triangles are congruent, we know that QS = TV
This means that
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8 AND TV = 8
Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.
Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides.
In order for us to prove congruence by SAS, AD must be congruent to BC.
Have an awesome day! :)
<span>4x•2-12x=7
Subtract 12x from 4x
-8x*2=7
Divide 2 on both sides
-8x=3.5
Divide both sides by -8
Final Answer: x= -0.4375</span>
Answer:
x=55 y=125
Step-by-step explanation:
X= 110/2=55
if BC is 110, BAC=250
so Y=250/2=125
Answer:the simple interest rate of the loan is 13.3%
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = $16,800
R = ?
T = 54 months = 54/12 = 4.5 years
I = 26854.80 - 16800 = $10054.8
Therefore
10054.8 = (16800 × R × 4.5)/100
10054.8 = 756R
R = 10054/756
R = 13.3%
