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3 years ago

In Quadrilateral ABCD , AB ∥ CD, and m∠2=35°.

Mathematics

2 answers:

Marianna [84]3 years ago

4 0

Angle 2 and 5 are alternate interior angle and they are congruent. That means that m <5= 35°.

scZoUnD [109]3 years ago

4 0

we know that

<u>Alternate interior angles</u> are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Alternate interior angles are congruent

In this problem

the parallel lines are AB and CD

the transversal line is BD

then

m∠5=m∠2 ------> by alternate interior angles

m∠5= $35\°$

therefore

<u>the answer is</u>

m∠5= $35\°$

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2 years ago

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3 years ago

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet

Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

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And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

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Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

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2 years ago

Simplify(3 square root 3 x square root 5 square root of 3)Square root of negative two

Assoli18 [71]

Answer:

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Step-by-step explanation:

(3√3 .√5.√3.)√2

= (3√3*3.√5)√2

=(3*3.√5)√2

=(9√5) √2

=9√5*2

=9√10

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2 years ago

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Elodia [21]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers