Sort the statements and formulas into two categories.

The perimeter of an isosceles triangle is 15.6 m. Find the lengths of its sides, if: The base is 3 m bigger than a leg.

klio [65]

So, an isosceles triangle has 2 equal sides, we will call them x.

The base can be modeled by 3+x

So, the perimeter is equal to x + 3+x + x

So

15.6 = 3x + 3

12.6 = 3x

4.2 = x

So, the lengths of the sides are 4.2, 4.2, 7.2

5 0

4 years ago

What is 5.5-x=-4.5-x

konstantin123 [22]

<h3>Simplifying </h3>

5.5 + -1x = -4.5 + -1x

<h3> Add 'x' to each side of the equation. </h3>

5.5 + -1x + x = -4.5 + -1x + x

<h3> Combine like terms: </h3>

-1x + x = 0

5.5 + 0 = -4.5 + -1x + x

5.5 = -4.5 + -1x + x

<h3> Combine like terms:</h3>

-1x + x = 0

5.5 = -4.5 + 0

5.5 = -4.5

<h3> Solving: </h3>

5.5 = -4.5

<h3> This equation is invalid, the left and right sides are not equal, therefore there is no solution.</h3><h3 />

Hope this helps!

3 0

4 years ago

Read 2 more answers

You have a 5 gallon bucket and a 3 gallon jug, can you measure out exactly 1 gallon? I would assume you could just fill the 3 ga

Anna35 [415]

You fill the 3 gallon jug up completely, then you pour that into the 5 gallon bucket. Then you fill up the 3 gallon jug again, and pour as much as you can into the 5 gallon bucket until it is full. You should then have 1 gallon of liquid left in the 3 gallon jug, and the 5 gallon bucket would be full. I hope that makes sense!

7 0

4 years ago

The composite figures below are made of right prisms.

Mkey [24]

Answer:

Figure 1's surface area: 550 $feet^2$

Figure 2's surface area: 530 $feet^2$

Figure 3's surface area: 790 $feet^2$

So, the order of the figures' surface areas is: Figure 2 < Figure 1 < Figure 3.

Step-by-step explanation:

Bearing in mind that the surface area of a 3D object is the total area of its surface (that is the sum of the areas of its faces), we can count the number of distinct shapes in each figure, calculate their areas and add them up. Be careful not to add the faces that are "inside".

<u>Figure 1</u>

Its surface area consists of 13 squares of 5x5 $feet^2$ and 3 rectangles of 15x5 $feet^2$ . So, its surface area is (13x25 + 3x75) $feet^2 = 550feet^2$

<u />

<u>Figure 2</u>

Its surface area consists of 6 squares of 5x5 $feet^2$ , 3 rectangles of 17x5 $feet^2$ , 1 rectangle of 13x5 $feet^2$ and 2 triangles of base 12 feet and height 5 feet. So, its surface area is (17x5x3+6x5x5+13x5+12x5x2:2) $feet^2 = 530feet^2$

<u />

<u>Figure 3</u>

Its surface area consists of 2 rectangles of 12.5x5 $feet^2$ , 1 rectangle of 11x5 $feet^2$ , 2 triangles of base 12 feet and height 5 feet, 1 rectangle of 11x13 $feet^2$ , 2 rectangles of 12.5x11 $feet^2$ and 1 rectangle of 12x11 $feet^2$ .