1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
avanturin [10]
3 years ago
6

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

Mathematics
1 answer:
never [62]3 years ago
8 0

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}

substitute the given values

\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}

0.67=0.67=0.67 ----- is true

so

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

You might be interested in
in an examination ,80%examines passed in English ,70%in mathematics and 60% in both subject if 45 examines failed in both find t
stiv31 [10]

Answer:

135 and 135

Step-by-step explanation:

The computation is shown below:

The number of examiners who passed in only one subject is as follows

=  n(E) - n(E ∩M) + n(M) - n(E ∩M)

= (80 - 60 + 70 - 60)%

= 30%

Now the number of students who passed in minimum one subject is

n(E∪M) = n(E) + n(M) -  n(E ∩M)

= 80 - + 70 - 60

= 90%

Now the number of students who failed in both subjects is

= 100 - 90%

= 10% of total students

= 45

So total number of students appeared for this 450

So, those who passed only one subject is

= 450 × 30%

= 135

Now the Number of students who failed in mathematics is

= 100% - Passed in Mathematics

= 100% - 70%

= 30% of 450

= 135

4 0
2 years ago
Someone Please Help Quickly! Its an Easy Question
Paul [167]

Answer:

y=\frac{2}{3}x-6

Step-by-step explanation:

Use the slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

b=-6

y-intercept=(0,-6)

To find the slope, take any two points from the line:

(6,-2)(3,-4)

Use the slope formula for when you have two points:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

(6(x_{1}),-2(y_{1})\\(3(x_{2}),-4(y_{2})

\frac{-4-(-2)}{3-6}

Simplify parentheses (two negatives makes a positive):

\frac{-4+2}{3-6}

\frac{-2}{-3}

Simplify (two negatives make a positive):

m=\frac{2}{3}

The slope is \frac{2}{3} and the y-intercept is -6. Insert these into the equation:

y=\frac{2}{3}x-6

Finito.

7 0
3 years ago
A rectangular flower bed covers an area of 11.76 square feet in the garden. The width of the flower bed is 3.5 feet less than it
Degger [83]
The length and width of the garden will be obtain as follows:
let the length be x ft, the width will be (x+3.5)ft
area of the bed will be:
A=length*width
11.76=x(x+3.5)
11.76=x^2+3.5x
thus
x^2+3.5x-11.76=0
solving this by quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
thus plugging in the values we obtain
x=[-3.5+/-sqrt(3.5^2-4(-11.76*1))]/2
x=[-3.5+/-sqrt59.29]/2
x=[-3.5+/-7.7]/2
x=4.2 or -11.2
thus the length will be x=4.2 ft and the width will be x-3.5=0.7 ft
8 0
3 years ago
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:
Aleonysh [2.5K]

I think the answer to this is: 25q + 10d + 5n + 60 = 87

The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents). 

5 0
3 years ago
Read 2 more answers
PLEASE HELP I NEED THE VALUES OF M AND P!!!!!!!! WILL GIVE BRAINLIST!!!!
ki77a [65]

Answer:

m=5 and p=4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
    13·2 answers
  • What is this equation simplified -61=8-1/3(12w+42)-w
    7·1 answer
  • The sears tower in chicago is 1454 feet high. sketch and find the angle of elevation from a point 750 feet from the base to the
    10·2 answers
  • What is the unit price for the cans of lemonade at each of the store 24packs 2 for 9 12packs 4 for 10 12packs 3 for 9
    11·2 answers
  • Which of the following is not needed when describing a rotation?
    11·1 answer
  • Hi picture is up there thank you so much for the help.
    15·1 answer
  • PLEASE HELP ME WITH THIS!!!!!!<br>​
    14·1 answer
  • Graph the line with the equation y= - 1/4x -7? ​
    12·1 answer
  • Hellllllllpppppppppppppppppppppp​
    15·1 answer
  • In hong kong a block of flats has 37 floors.There are 16 flats on each floor and 4 people live in each flat. The number of peopl
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!