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ANEK [815]
3 years ago
9

Drag and drop a phrase to make the statement true.

Mathematics
2 answers:
TiliK225 [7]3 years ago
6 0

Answer: The answer is (A). Similar.

Step-by-step explanation:  We are given two triangles, ΔABC and ΔDEF where, ∠B = 80°, ∠C = 60°, ∠D = 40° and ∠E = 80°.

We are to check whether the two triangles are similar or not.

In ΔABC, we have

\angle A+\angle B+\angle C=180^\circ\\\\\Rightarrow \angle A+80^\circ+60^\circ=180^\circ\\\\\Rightarrow \angle A=180^\circ-140^\circ\\\\\Rightarrow \angle A=40^\circ,

and in ΔDEF, we have

\angle D+\angle E+\angle F=180^\circ\\\\\Rightarrow 40^\circ+80^\angle F=180^\circ\\\\\Rightarrow \angle F=180^\circ-120^\circ\\\\\Rightarrow \angle F=60^\circ.

Therefore, in ΔABC and ΔDEF, we have

∠A = ∠D,

∠B = ∠E,

∠C = ∠F.

So, by AAA similarity postulate, we get

ΔABC ≈ ΔDEF.

Thus, (A) is the correct option.

Lady bird [3.3K]3 years ago
3 0

A similar because all triangles add up to 180 ,

they both have 80 so leaves 100 degrees left..

and they both have the same #'s 80, 60, & 40 degrees equal to 180 degrees

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5.) John collected stickers of different emoji's, he has 248 stickers. He
vivado [14]

Answer:

11

Step-by-step explanation:

248/24=10.3

round up to 11

4 0
3 years ago
a container of coffee is 1/6 full.The container contains 2/3 of a pound of coffee.write division expression that represents the
zimovet [89]

Answer:

capacity of the container is 4 pound

Step-by-step explanation:

We have given that a container of the coffee is \frac{1}{6} full

And it contains \frac{2}{3} of a pound so \frac{2}{3} pound

It means \frac{1}{6} f of container contain  \frac{2}{3}  pound coffee

So capacity of the container is \frac{\frac{2}{3}}{\frac{1}{6}}=4pound

So capacity of the container is 4 pound

8 0
3 years ago
What is the distance between the points (2, 1) and (14, 6) on a coordinate
Naddika [18.5K]
The distance between the points (2,1) and (14,6) on a coordinate is C. 13 units
8 0
3 years ago
Read 2 more answers
In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc
Daniel [21]

Answer:

The  number is  N  =1147 students

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  281

     The standard deviation is  \sigma  =  34.4

    The sample size is  n = 2000

percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

      P(250 <  X <  305 ) =  P(\frac{ 250 - 281}{34.4 }  <  \frac{X - \mu }{\sigma }  < \frac{ 305 - 281}{34.4 }   )

Generally  

             \frac{X - \mu }{\sigma }  =  Z  (Standardized \ value \  of  \  X )

So  

         P(250 <  X <  305 ) =  P(-0.9012<  Z

       P(250 <  X <  305 ) = P(z_2 < 0.698 ) -  P(z_1 <  -0.9012)

From the z table  the value of  P( z_2 < 0.698) =  0.75741

                                         and  P(z_1 < -0.9012) =  0.18374

     P(250 <  X <  305 ) = 0.75741 - 0.18374

      P(250 <  X <  305 ) =  0.57

The  percentage is  P(250 <  X <  305 ) =  57\%

The  number of students that will get this score is

           N  = 2000 * 0.57

           N  =1147

6 0
3 years ago
In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected
Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%

The probability is 0.0286 or 2.86%.

3 0
3 years ago
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