The triangles below are similar & congruent angles are marked. Find the length of side BC or side DE.

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

Answer:

Congruent triangles have both the same shape and the same size. triangles ABC and DEF are congruent; they have the same angle measures and the same side lengths.

Similar triangles have the same shape, but not necessarily the same size. In the figure below, triangles ABC and XYZ are similar, but not congruent; they have the same angle measures, but not the same side lengths.

Step-by-step explanation:

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7. Which of the following is an example of a proper fraction?

Ymorist [56]

Answer:

C.4/17

Step-by-step explanation:

A proper fraction has a numerator that is less than the denominator

A. 11/10 11>10 improper

B. 15/2 15>2 improper

C.4/17 4 < 17 proper

D.6/6 6=6 improper

7 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP AND I NEED YOU TO DO IT FAST BECAUSE I HAVE TO GO SOON

Greeley [361]

The height is modelled by the equation:

$h(t)=-0.2t^2+2t$

Therefore

$\begin{gathered} \text{ } \\ \frac{\text{ dh}}{\text{ dt}}=-0.4t+2 \end{gathered}$

At the maximum height dh/dt = 0:

Hence,

$\begin{gathered} -0.4t+2=0 \\ -0.4t=-2 \\ \text{ Dividing both sides by -0.4} \end{gathered}$ $\begin{gathered} \frac{-0.4t}{-0.4}=\frac{-2}{-0.4} \\ t=5 \end{gathered}$

Hence, the ball gets to the maximum height after 5s.

The maximum height is given by h(5):

$h(5)=-0.2(5)^2+2(5)=5$

Therefore, the maximum height is 5 ft.

When the ball reaches the ground h(t) = 0:

$\begin{gathered} -0.2t^2+2t=0 \\ \text{ Dividing both sides by -0.2, we have:} \\ t^2-10t=0 \\ Factorising\text{ the left hand side, we have} \\ t(t-10)=0 \\ \text{ Therefore,} \\ t=0,\text{ t=10} \end{gathered}$

The ball reaches the ground in 10s