In similar triangles, corresponding angles are congruent.t or f

1 answer:

3 0

Corresponding angles in both similar and congruent triangles are congruent. In similar triangles, the sides are in proportion, whereas in congruent triangles, the sides are also congruent,

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Molodets [167]

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4 0

2 years ago

PLS HELP ME W THIS QUESTION

QveST [7]

Answer:

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 1.9 in and H = 15 in. Substitute:

$V=\dfrac{1}{3}\pi(1.9)^2(15)=\pi(3.61)(5)=18.05\pi\ in^3$

$\pi\approx3\to V\approx18.05\cdot3=54.15\ in^3$

7 0

2 years ago

solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+

Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

$\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.$

Write the augmented matrix for the system of equations

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)$

Find the reduced row-echelon form of the augmented matrix for the system of equations:

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)$