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2 years ago

Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

Mathematics

1 answer:

tester [92]2 years ago

7 0

Answer:

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

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John ran the 100-m dash with a time of 9.81 sec. if this pace could be maintained for an entire 26-mi marathon, what would his t

Dmitry_Shevchenko [17]

Answer:

4104.79 Seconds or about 1.14 Hours

Step-by-step explanation:

26mi = 41842.9m

100/9.81 = 41842.9/x

41842.9 x 9.81 = 100x

410478.849 = 100x

x = 4104.78849

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B5%7D%20%29%20%7B%7D%5E%7Bx%7D%20%3D%20125" id="TexFormula1" title="( \f

anzhelika [568]

Well we know that... $a^{-1}=\frac{1}{a^{1} }\\$ .

So... $(\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\$ .

Because $5^{3}=125$ ,

$\frac{1}{5}^{-1*3}=125\\ x=-1*3=-3$

answer: -3

8 0

3 years ago

What is the solution to the equation 6n+7=55

weeeeeb [17]

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6n + 7 = 55

Step 2: Solve for n

Subtract 7 on both sides: 6n = 48
Divide 6 on both sides: n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n: 6(8) + 7 = 55
Multiply: 48 + 7 = 55
Add: 55 = 55

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

7 0

3 years ago

Read 2 more answers

Graph the functions to find The solution. f(x)=x^2 - 2 g(x)= 2x + 1

larisa [96]

Answer: Look at the picture ⬇️

5 0

3 years ago

9(-6X-2) -7 (-10X-2)

Maksim231197 [3]

9(-6x-2)-7(-10x-2)
Simplify, by distributing the 9 and the -7
-54x-18+70x+14
Combine like terms
16x-4 is the simplified expression

Hope this helped!

3 0

3 years ago