Answer:
x=0 or x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x^2+15x=0
Step 2: Factor left side of equation.
3x(x+5)=0
Step 3: Set factors equal to 0.
3x=0 or x+5=0
x=0 or x=−5
Both triangles are similar because 2 angles are same, only difference is in size.
similarity theorem - 2 angles of one triangle are congruent to 2 angles of another triangle, corresponding sides are in proportional.
24/ 3x+6 = 32/28
24 x 28 = 32 (3x+6)
x = 5
Answer:
That exterior angle is equal to 87 degrees.
Step-by-step explanation:
In order to find the measure of the exterior angle, we start by trying to find x. We can do this by adding up the 3 interior angles and setting them equal to 180. The first angle is equal to 43. The second angle is equal to x + 15. The third angle is equal to 180 - 3x (which we know because the angle and 3x is equal to 180). So we set equal to 180.
43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.
238 - 2x = 180 -----> Subtract 238
-2x = -58 ----> Divide by -2
x = 29
Now that we have the x value, we can plug into the exterior angle measure to get the value.
3x = 3(29) = 87 degrees
Set up a proportion:
1/7 L of water - 1/9 of the aquarium
x L of water - 1 aquarium (the whole aquarium)
1 2/7 liters of water are needed to fill the aquarium.
