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lisov135 [29]
3 years ago
8

Triangle ABC is similar to triangle XYZ. Which of the following proportions is correct?

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

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that triangle ABC is similar to triangle XYZ.

The corresponding sides of similar triangles are proportional.

Since it is given that the triangle ABC is similar to triangle XYZ, so by using the definition of similarity triangles

\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

From first and third term, we get

\frac{AB}{XY}=\frac{AC}{XZ}

Therefore the correct option is 3.

Lorico [155]3 years ago
3 0
Similar shapes are figures which have the same form or shapes but not necessarily are congruent shapes. These shapes could have different side lengths. Given that triangle ABC is equal triangle XYZ, then side AB would correspond to side XY, side BC would correspond to side YZ and side AC would correspond to side XZ. Therefore, the correct answer would be option 3. The correct proportion would be AB / XY = AC / XZ. From the choices, given it is the only option where the side lengths corresponds to each other (side AB to side XY and side AC to side XZ). 
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A circle has the circumference of 3.75 in. What is the diameter of the circle? (Use 3.14 for p. Round to the nearest tenth.) a.
HACTEHA [7]

Answer:

<h2>b. 1.2 in</h2>

Step-by-step explanation:

The formula of a circumference:

C=d\pi

<em>d</em> - diameter

We have <em>C = 3.75 in</em><em>.</em>

Substitute:

d\pi=3.75\qquad\text{use}\ \pi\approx3.14\\\\3.14d=3.75\qquad\text{divide both sides by 3.14}\\\\d=\dfrac{3.75}{3.14}\\\\d=\dfrac{375}{314}\\\\d\approx1.2\ in

7 0
3 years ago
Suppose that a travel bureau claims that the trees in a forest are 83 feet tall on average, With a standard deviation of 2 feet
valentinak56 [21]

Answer:

Step-by-step explanation:

Given mean = 84,

Standard deviation = 2,

Sample 64,  

95% confidence interval: z = 1.96

Applying empirical rule , means that 95% of data fall within two standard deviations.

ME =  = 0.49

Rounding this to 0.5

CI =  83.5< mean < 84.5

Outside of this range=  x ≤ 83.5  and ≥  84.5

6 0
3 years ago
Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals
Elena L [17]

Answer:

The approximate solution of the system of equations is the point (-2.7,2.1)

Step-by-step explanation:

we have

y=0.5x+3.5 -----> equation A

y=-\frac{2}{3}x+\frac{1}{3} -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (-2.714,2.143)

see the attached figure

therefore

The approximate solution of the system of equations is the point (-2.7,2.1)

4 0
3 years ago
Read 2 more answers
Devaughn's age is three times Sydney's age. The sum of their ages is <br> . What is Sydney's age?
g100num [7]

Answer:

syd is 23 and dev is 69


Step-by-step explanation:

Let Dev's age be x and Syd's age be y

Since Dev is 3 times older than Syd, we may write  

x

=

3

y

Since the sum of their ages is 92, we may write  

x

+

y

=

92

Now replacing x with 3y, we get :  

3

y

+

y

=

92

Hence  

y

=

92

4

=

23

and so Syd is 23 year old.

Back substituting we get Dev is 69 years old.

8 0
3 years ago
Read 2 more answers
Blue Ribbon taxis offers shuttle service to the nearest airport. You look up the online reviews for Blue Ribbon taxis and find t
Anon25 [30]

Answer:

(d) there is not enough information to tell if this is a biased sampling method.

Step-by-step explanation:

Based on reviews we cannot conclude whether the sampling is biased or not, if only we can know the total number of times the taxi was ordered then we can conclude.

3 0
3 years ago
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