Ask question

Ask question

All categories

3 years ago

13

An equilateral triangle has three sides of equal length. How does the SSS Congruence Theorem apply to someone constructing equil

ateral triangles?

1 answer:

TEA [102]3 years ago

5 0

SSS Congruence Theorem apply to equilateral triangles because equilateral triangles have equal sides.

You might be interested in

Which set is a function

julsineya [31]

B. Is the answer to your question

3 0

3 years ago

Find the derivative of<br> <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B6%7D%7Bx%7D%20" id="TexFormula1" titl

aev [14]

$f'(x_0)=\lim\limits_{h\to0}\dfrac{f(x_0+h)-f(h)}{h}=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=\dfrac{6}{x};\ x_0=2\\\\subtitute\\\\f'(2)=\lim\limits_{x\to2}\dfrac{\frac{6}{x}-\frac{6}{2}}{x-2}=\lim\limits_{x\to2}\dfrac{\frac{6}{x}-3}{x-2}=\lim\limits_{x\to2}\dfrac{\frac{6-3x}{x}}{x-2}=\lim\limits_{x\to 2}\dfrac{6-3x}{x(x-2)}\\\\=\lim\limits_{x\to2}\dfrac{-3(x-2)}{x(x-2)}=\lim\limits_{x\to2}\dfrac{-3}{x}=-\dfrac{3}{2}=-1.5\\\\\\An swer:\boxed{f'(2)=-1.5}$

8 0

3 years ago

5. Given (x + 1) and (x-3) are factors of P(x) = x4-5x³-7x² + cx + d. Determine the values

Iteru [2.4K]

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

<h3>How to determine the missing coefficients of a quartic equation</h3>

A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:

(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0

- c + d = 1 (1)

3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0

3 · c + d = 117 (2)

The solution of this system is c = 29 and d = 30.

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

To learn more on polynomials: brainly.com/question/11536910

#SPJ1

4 0

2 years ago

Answer this question

Stells [14]

Answer:

$\huge\boxed{width=12cm}$

Step-by-step explanation:

$l-length\\w-width\\P-perimeter$

The formula of perimeter of the rectangle:

$P=2l+2w=2(l+w)$

Substitute:

$l=6w\\\\P=168cm$

$168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)$

3 0

3 years ago

What is the answer to: 1 1/4 + (2×3) + 2 2/6+ (2 5/6 × 2) + 3?

dusya [7]

Answer:

The answer is 19.75

Step-by-step explanation:

You multiply the one in the brackets first

7 0

3 years ago