The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,
If 15 foot flagpole ---- casts 11 foot shandow
28 foot tree -------- casts ?? foot shadow
The proportion would therefore be:
Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
7-6x you are multiplying what’s in the () then comparing like term
Answer:
15 cm
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Answer:
x = -5
x = -12
Step-by-step explanation:
- 7x - 60 = x^2 + 10x
add 7x to both sides
x^2 + 17x = -60
add 60 to both sides
x^2 + 17x + 60 = 0
factorise quadratic
(x + 12) (x + 5) = 0
<em>x = -12</em>
<em>x = -12x = -5</em>