12-5u=(-48) <br><br><br> what is "u"

MAVERICK [17]

1. 3h+11
2. -2r
3. g-4
4. 5f+4
5. 15z

8 0

3 years ago

Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other.

Makovka662 [10]

An isosceles triangle is a type of triangle where 2 sides are equal.

Picture out 2 triangles with the same base length.
On the first triangle, its legs are twice the length of the legs of the second triangle.

To put it into variables, let:
B = the same base length of the two triangles
A = the length of one leg the smaller triangle
2A = the length of one leg of the bigger triangle

Given: Perimeter of smaller triangle = 23cm
Perimeter of bigger triangle = 43cm

Recall the formula for solving the perimeter of a triangle:
Perimeter = A + B + C

where, A, B, and C are the legs of the triangle

Since the triangle involved is an isosceles triangle, therefore, we can say that
Perimeter = 2A + B , 2 legs are equal ( A=C )

Substituting the given perimeter value to the formula.

23cm = 2A + B ⇒ equation 1 (smaller triangle)
43cm = 2(2A) + B ⇒ equation 2 (bigger triangle)

Simplifying equation 2.
43cm = 4A + B
(rearranging) B = 43cm - 4A ⇒ equation 3

Substituting equation 3 to equation 1:
(equation 1) 23cm = 2A + B
23cm = 2A + (43cm - 4A)
23cm = -2A + 43cm
2A = 43cm - 23cm
2A = 20cm ⇒ length of the leg of the bigger triangle
A = 10cm ⇒ length of the leg of the smaller triangle

To solve for the base length, just substitute the value of A to equation 3
(equation 3) B = 43cm - 4A
B = 43cm - 4(10cm)
B = 3 cm

Final Answer:

• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm

8 0

3 years ago

amber wants to put tile on the back special for kitchen counter she will need 36 square feet of tile.she will use basic tile tha

Komok [63]

Answer: Amber use 30 feet of basic tiles and 6 feet of decorative tiles.

Step-by-step explanation:

Let x be the foot of basic tiles and y be the foot of decorative tiles.

Now, according to the question, we have the following equations

$x+y=36\\y=36-x\ .......(1)\\\\8x+20y=36\times10\\2x+5y=90.......(2)\ \ \ [\text{divide equation by 4}]$