Answer:
Step-by-step explanation:
×
×
3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that . Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles and , therefore, by the CSCT these corresponding sides have to be congruent.
Ei=9r
E(54)=9(25)
E(54)=225
divide 54 from both sides
E=4.1666
the six repeats, but rounds up to 4.167, or 4.17
Assuming a year has 365 days, a daily compounding interest is equivalent to having a compounding cycle of 365 per year, thus
Answer:
To find the intercepts, equate one variable to
0
and solve for the other variable:
y-intercept
Set
x
to
0
and solve for
y
giving:
3
x
−
5
y
=
15
becomes:
(
3
⋅
0
)
−
5
y
=
15
0
−
5
y
=
15
−
5
y
=
15
−
5
y
−
5
=
15
−
5
−
5
y
−
5
=
−
3
y
=
−
3
or
(
0
,
−
3
)
x-intercept
Set
y
to
0
and solve for
x
giving:
3
x
−
5
y
=
15
becomes:
3
x
−
(
5
⋅
0
)
=
15
3
x
−
0
=
15
3
x
=
15
3
x
3
=
15
3
3
x
3
=
5
x
=
5
or
(
5
,
0
)
Next. we can plot the two points on the grid:
graph{((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
Then, draw a line through the two points:
graph{(3x - 5y -15)((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}