1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
levacccp [35]
3 years ago
11

name the algebraic property demonstrated in the example below: if x = 3 and 3 = y, then x = y. a) commutative property of additi

on b) associative property of addition c) transitive property d) symmetric property
Mathematics
1 answer:
Ratling [72]3 years ago
7 0
<span>if x = 3 and 3 = y, then x = y is the transitive property.</span>
You might be interested in
∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC  is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

z=\frac{x}{y}

we have

z=\frac{1}{10}

y=40\ units

substitute

\frac{1}{10}=\frac{x}{40}

solve for x

x=(40)\frac{1}{10}

x=4\ units

therefore

The length of the longest side of ∆ABC  is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

z^{2}=\frac{x}{y}

we have

z=\frac{1}{10}

so

z^2=(\frac{1}{10})^2

z^2=\frac{1}{100}

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

3 0
2 years ago
If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) g(9) = 6 h(9) = 4 g' (9) = −6 h' (9) = 4 fx(6, 4) = 9 fy(6, 4)
horsena [70]

Answer:

dz / dt = -50

Step-by-step explanation:

To solve the chain rule must apply, we have all the necessary values to make the calculation, as follows:

using the chain rule, we find:

dz / dt = (∂z / ∂x) * (∂x / ∂t) + (∂z / ∂y) * (∂y / ∂t)

Evaluating when t = 9, we have to:

fx (6, 4) * g '(9) + fy (6, 4) * h '(9)

We know that g '(9) = −6; h '(9) = 4; fx (6, 4) = 9; fy (6, 4) = 1

Replacing:

(9 * -6) + (1 * 4) = -50

Por lo tanto dz / dt = -50

6 0
3 years ago
POR FAVORRRRRRR NECESITO RÁPIDO LA RESPUESTA<br><br> 3m (4x-5) - 20x + 25
nalin [4]

Answer:

12mx-15m-20x+25 Hope this helps!

Step-by-step explanation:

4 0
3 years ago
Help with this question!
zheka24 [161]
Since AS is a height issued from A and the perpendicular bisector of [MP] at the same time (given), so the triangle AMP is an isosceles triangle of vertex A. Then, AM=AP
MS=SP ( AS bisects MP as stated in the given )
AS is a common side between triangles ASM and ASP
Therefore, triangles ASM and ASP are congruent (SSS)
7 0
3 years ago
If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 s
ELEN [110]
Let
x-----------> <span>uniform width surrounding the picture

we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0

using a graph tool-----> to resolve the second order equation
see  the attached figure

the solution is
x=2 in

the answer is
2 inches

4 0
3 years ago
Other questions:
  • Can someone help me figure out how I’m supposed to fill the table out? Thanks! ;D
    9·1 answer
  • Please help!!!!!!!!!!!!!
    9·2 answers
  • How can you tell that a fraction is a unit fraction?
    14·1 answer
  • What is the term for protection that guarantees payment to you in the event of financial loss?
    13·2 answers
  • A dialysis unit requires 75000 mL of distilled water. How many gallons of water are needed?
    7·1 answer
  • A chord 20 inches long is 4 inches from the center
    7·1 answer
  • What is the domain of f(x)=√(x)?
    5·1 answer
  • Which equation describe the line through the points (2,-4) and (5,8)
    10·1 answer
  • Covert 25 degree Fahrenheit to degree Celsius
    14·1 answer
  • Triangle LMN with vertices L(-9,-1) M(-3,-4) and N(-5,-8)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!