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3 years ago

If m∠ABC = 72°, what is m∠DAB? A) 72° B) 108° C) 144° D) 216°

Mathematics

2 answers:

Semmy [17]3 years ago

8 0

∠ABC=∠CDA=72º
∠DAB=∠BCD=x

∠ABC+∠CDA+∠DAB+∠BCD=360º

Therefore:
72º+72º+x+x=360º
144º+2x=360º
2x=360º-144º
2x=216º
x=216º/2
x=108º

So, <span>∠DAB=∠BCD=x=108º

Answer: </span>∠DAB=108º (B)

Eddi Din [679]3 years ago

4 0

B) 108°

Answer:

B) 108°

Step-by-step explanation:

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3 years ago

5/6 of 18 pencils equals

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The number of people playing a new phone app game triples every month. When the app first launched, 800 people started playing t

NeTakaya

Answer:

$a_t=ar^{t-1}$

t=6 months

Step-by-step explanation:

We are given that the number of people playing a new phone app game triples every month

When the app first launch , the number of people started playing the game right away=800

According to question

The number of peoples are currently playing the game=194,400

We solve by using the formula of geometric series because we get a geometric series pattern

The number of people playing the game when app game launch=800

The number of people playing game after one month=2400

800,2400,7200,........,194,400

$a_1=800,a_2=2400,a_3=7200,a_t=194,400$

We are finding common ratio

$\frac{a_2}{a_1}=\frac{2400}{800}=3$

$\frac{a_3}{a_2}=\frac{7200}{2400}=3$

Hence, the common ratio is 3 therefor nth term of G.P

$a_t=ar^{t-1}$

a=800,r=3, $a_t=194,400$

Substitute the values then we get

$194,400=800(3)^{t-1}$

$\frac[194400}{800}=(3)^{t-1}$

$243=3^{t-1}$

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When base are same on both side then the power are equals

Therefore, t-1=5

t=5+1=6

Hence, when there are 194,400 people currently playing the game then

the number of months ,t=6 that have passed since the app launched.

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3 years ago

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. X2

slavikrds [6]

The general equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . The two options are option(A) and option(E).

<h3>Given,</h3>

There are five options in which five equation of the circle is given.

We have to find the two equations of the circle which have the diameter of 12 units and its center lies on the y-axis.

<h2>The general equation of circle.</h2>

the general equation of circle having radius of r units and (h,k) as center of circle is given as,

$(x-h)^2+(y-k)^2=r^2$

We also know that for the center to lie on y-axis, the value of h becomes 0.

So, the equation will be,

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Now, it is clear from all the options that option(A) option(C) and option(E) has radius of 6 units, so neglecting all the other options.

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Therefore, the two options will be option(A) and option(E).

For more details on equation of circle follow the link:

brainly.com/question/10165274

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