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3 years ago

A parallelogram has one angle that measures 80 degrees. What are the measures of the three other angles in the parallelogram?

2 answers:

6 0

The opposite angle is also 80°. since consecutive angles must total 180, the other 2 angles are 100 each. 100+100+80+80=360, as needed for a parallelogram

sleet_krkn [62]3 years ago

3 0

The opposite angle will be 80° as opposite angles and sides of a parallelogram are equal.
.
The rest two angles will be 100° as adjacent angles are supplementary in a parallelogram.

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If the price of a yo-yo in a shop increased by 20% and is now $6.00, what was the original price?

4vir4ik [10]

Answer: Original Price: $5

Step-by-step explanation:

x+0.2x=6

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1 year ago

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KIM [24]

Let x be the number, then 60 = 40% of x & x =60/40%=60/0.4=150
then the number of which 60 represent 40% of it is 150
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In one day the 32 clerks complete a portion of 32/22 of the job
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3 years ago

Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choice

Svet_ta [14]

Answer:

a.) P(x = X) = $\frac{1}{50}$

b.) $\frac{1}{50} \times\frac{1}{50} \times\frac{1}{50} = \frac{1}{125000}$

c.) 0.00118

Step-by-step explanation:

The sample space Ω = flags of all 50 states

a.) Any one of the flags is randomly chosen. Therefore we can write the

probability measure as P(x = X) = $\frac{1}{50}$ , for all the elements of the sample

space, that is for all x ∈ Ω.

b.) the probability that the class hangs Wisconsin's flag on Monday,

Michigan's flag on Tuesday, and California's flag on Wednesday

= $\frac{1}{50} \times\frac{1}{50} \times\frac{1}{50} = \frac{1}{125000}$

c.) the probability that Wisconsin's flag will be hung at least two of the three days

= Probability that Wisconsin's flag will be hung on two days + Probability that Wisconsin's flag will be hung on three days

= P(x = 2) + P(x = 3)

= $(\binom{3}{2}\times \frac{1}{50} \times \frac{1}{50}\times \frac{49}{50}) + (\binom{3}{3}\times \frac{1}{50} \times \frac{1}{50}\times \frac{1}{50})\\$

= $\frac{147}{125000} + \frac{1}{125000}$

= $\frac{148}{125000}$

= 0.00118

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2 years ago

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dybincka [34]

Answer:

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Step-by-step explanation:

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2 years ago

1. Two containers are being filled with water. One begins with 10 gallons of water and is filled at a rate of 2.5 gallons per mi

ikadub [295]

Answer: PART A:

w-3.5 t=8

w-3.25t=24

PART B:

t=64

and w= 232

PART C:

It will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

PART A:

Let the water is filling in 't' minutes.

and 'w' denotes the amount of water in the container.

for container 1:

One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.

The equation is given by:

for container 2:

The other begins with 24 gallons and is filled at 3.25 gallons per minute.

The equation is given by:

PART B:

on solving equation (1) and equation (2) by method of elimination we get:

subtract equation (2) by equation (1) to obtain:

t=64

and putting the value of t in equation (1) to obtain:

w= 232

PART C:

Hence it will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

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2 years ago