Step-by-step explanation:
in an isoceles triangle both sides are equal.
take one of the half right angle triangle
by Pythagoras theorem
√45²=(3)²+(X/2)²
45=9+x²/4
45-36=x²/4
9*4=x²
X=6
option B
Answer 10
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
1
a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
a
n
=
1
+
(
3
)
(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
from
1
1
.
a
n
=
3
n
−
2
In this question, it is given that
Leanne has a gas card that has $150 on it. She spends $25 a week on gas.
And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .
Recursive rule shows the relationship between previous value and the current value .
And here, the recursive rule is
![a_{n} = a_{n-1}-25n](https://tex.z-dn.net/?f=%20a_%7Bn%7D%20%3D%20a_%7Bn-1%7D-25n%20)
Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .
So for n=1, that is amount in the card after 1 week, we will get
![a_{1} = a_{1-1} -25(1) \\ a_{1} = a_{0} -25 \\ a_{1} = 150 -25 \\ a_{1} = $125](https://tex.z-dn.net/?f=%20a_%7B1%7D%20%3D%20a_%7B1-1%7D%20-25%281%29%0A%5C%5C%0Aa_%7B1%7D%20%3D%20a_%7B0%7D%20-25%0A%5C%5C%0Aa_%7B1%7D%20%3D%20150%20-25%0A%5C%5C%0Aa_%7B1%7D%20%3D%20%24125%20)
And that's the amount remaining in the card after 1 week .
Yes you are correct. it is kinda hard to see the picture upside down and right side up.