Hello!
Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:
x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees or exactly 51.5 degrees
I hope this helps :))
False because -5/11 should be add on both sides
Answer:
t = 1.277 sec and t = 2.848 sec
Step-by-step explanation:
This problem is much more easily done by graphing it than by computing it using algebra.
The values of t we're looking for are the ones that make x = 0, so we want the solutions of 
on the interval [0, 3].
According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.
The correct answer is y= 0.513(1.833)^x
Explain
We will use the equation on this form
Y=ab^x
Let’s us plug in the coordinates of first point
(X, y) , ( 9, 120)
We will have
Y=ab^x
120= ab^9
Our equation for a will be
Ab^9 = 120
ab ^9 / b^9 = 120/ b^9
a = 120/ b^9
So will have
Y= 120/ b^9 • b^x
Then we will plug in coordinates for the second point
( x,y) = ( 10, 220)
We will have
Y= 120/b^9 • b^x
220 = 120/b^9 • b^10-9
220= 120b
Divide both side by 120
B= 11/6
B= 1.833333 = 1.833
Let’s plug in the value b=11/6 to our equation for a
A= 120/b^9
A= 120/ 11/6^9
A= 120/11^9/6^9
A=120 • 6^9 / 11^9
= 0.51285 which equal to 0.513
So therefore the answer is
Y= 0.513(1.833)^x
I hope this help you
:D
Step-by-step explanation:
1. Perimeter = 2 ( 5+4) = <u>18 cm</u>
Area = 5 × 4 = <u>20 cm^2</u>
2. Perimeter = 2 (5+5) = <u>20 cm</u>
Area = 5 × 5 = <u>25 cm^2</u>
3. Cups of seed needed per sq. meter = Area of the rectangle backyard
= 6 × 7
= <u>42 </u><u>cups</u><u> </u><u>of</u><u> </u><u>seed</u>
4. Feet of fence needed = Perimeter of the Square garden
= 2(8+8)
<u>= 32 feet</u>
5. Perimeter of rectangular quilt = 2 (4+6) feet
= <u>20 feet</u>
6. Area of the room = 9 feet × 8 feet
= <u>72 feet^2</u>
