Lets start from scratch.
45 is the number of money she spent that means that right side of = sign is 45
let m represents number of roses.
we can write:
t*$1+ m*$2 = $45
Since she bought 3 more tulips than roses that means that m = t - 3
when we express m we get:
t + 2*(t-3) = 45
the answer is B.
Answer:
6.28 gallons
Step-by-step explanation:
first we need to find the area of a half sphere, and then find how much paint will be needed for that area.
The area of a sphere:

thus, the area of half a sphere is:

we know that the radius is:

we substitute this to find the area of the half sphere (the area they need to paint):

now the question is how many gallons of paint are needed to paint 2,513.27 square feet.
We are told that 1 gallon covers 400 square feet
thus, we must divide 2,513.27 by 400:

6.28 gallons of paint are needed.
For the given triangle, x = 8.6 cm.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 35°, the hypotenuse side's length is 15 cm. Assume the opposite side's length is x cm. To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

Step 2:
The opposite side's length = x cm.
The hypotenuse side's length = 15 cm.


So x of the given triangle measures 8.6025 cm, rounding this off, we get 8.6 cm.
Answer:
<2 and <13 are alternate exterior angles.
In simple form, alternate exterior angles are the opposite angle on the opposing parallel line. So, to make you understand better, <4 and <15 are alternate exterior angles.
Hope this helps :D