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tester [92]
2 years ago
11

The triangles below are similar. Find x.

Mathematics
1 answer:
Anni [7]2 years ago
8 0

Answer: 105

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

\frac{x}{14}=\frac{97.5}{13}\\\\=\frac{x}{14}=7.5\\\\x=\boxed{105}

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If
Rudiy27
Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.

If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.

If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.

However, the area x*y must be constant and = 100.

We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.

We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.

So, the difference between the max and min values of x+y = 101 - 20 = 81.
6 0
3 years ago
A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a
IgorLugansk [536]

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x----->  the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

so

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

6 0
2 years ago
Samuel makes a dozen of mini cupcakes using 5/8 ​ cups of sugar, 3 cups of chocolate chips and 1/2 cup of butter. If each cupcak
baherus [9]

I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups

I think it's 5/96 or .05208333

So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.

8 0
2 years ago
Desire <br> Help me with this quistion
aleksandrvk [35]

Answer:

The value of n is 11 feet.

Step-by-step explanation:

Given that the area of rectangle from is A = length×width so we have to substitute the variables into the formula in order to find n :

area = length \times width

Let area = 33,

Let length = n,

Let width = 3,

33 = n \times 3

3n = 33

n = 33 \div 3

n = 11 \: feet

8 0
3 years ago
What's the difference between a linear expression and a linear equation?
Strike441 [17]
The linear equation has an equal signed involved and the expression doesn’t.
7 0
2 years ago
Read 2 more answers
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