If triangle VWX and triangle NOP are similar. If mV=44 degrees and mP=66 degrees. What is mW?

In a 45 45 90 right triangle the length of the hypotenuse is 15/2 what is length on one of the legs

Nikitich [7]

Hi there!

For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.

To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.

We get the following:

$\frac{15}{ 2 \sqrt{2} }$

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.

We get the following:

$\frac{15 \sqrt{2} }{4}$

That's your answer.

Have an awesome day! :)

- collinjun0827, Junior Moderator

8 0

2 years ago

Danika signs up to work for 3 1/2 hours at the science fair. If each work shift is 3/4 hour, how many shifts will Danika work?

forsale [732]

namely, how many times does 3/4 go into 3½? Let's firstly convert the mixed fraction to improper fraction.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}$

5 0

2 years ago

Read 2 more answers

Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor

Art [367]

Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

Angle-Angle-Side Theorem (AAS theorem).
Hypotenuse-Leg Theorem (HL theorem).
Side-Side-Side Postulate (SSS postulate).
Angle-Side-Angle Postulate (ASA postulate).
Side-Angle-Side Postulate (SAS postulate).

In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

8 0

2 years ago

HURRY PLZZ!!! THIS IS 90 POINTS!!! I WILL MARK BRANLYEST!!!! 2. A ladder is leaning against the outside wall of a building. The

Marina86 [1]

Answer & Step-by-step explanation:

7 0

2 years ago

A car's position is given by s(t) = {3 – 5t? + 7t hundreds of meters with t in minutes.

Nadya [2.5K]

Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

At v = 0, we have;

3t² - 10t + 7 = 0

Using quadratic formula, we have;

t = 1 and t = 2.3

Thus, time at velocity of 0 is t = (1 s, 2.3 s)

B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

At velocity of 0, we got t = 1 and t = 2.3

Thus;

a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

8 0

2 years ago