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
Alekssandra [29.7K]
3 years ago
13

Solve for x. The triangles in each pair are similar. ​

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

Step-by-step explanation:

You need to pay very close attention to the triangle similarity statement.  This says that triangle NML is similar to triangle NVU.  But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side.  We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right.  When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML.  Setting up the proportion:

\frac{NV}{NM}=\frac{VU}{ML}

Filling in:

\frac{12}{36} =\frac{9}{9x}

Cross multiply to get

324 = 108x

and x = 3

You might be interested in
What is the slope of the line represented by the equation y = –x + ? – –
Svetlanka [38]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the "y" axis

We have, according to the data provided, that the line is of the form:

y = -x + b

That means that the slope is -1.

ANswer:

m = -1

8 0
3 years ago
Read 2 more answers
Does anyone know??????
masha68 [24]

Answer:

y=23x+4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 4(b + 2), if b = 7?
AlladinOne [14]

Answer:

the answer would be 36

Step-by-step explanation:

hoped I helped:)

8 0
3 years ago
Read 2 more answers
A full grain silo
Kazeer [188]

Answer:

m is the slope.

b is the y-intercept.

the slope is the same as he constant rate.

let y = the number of feet of grain left in the silo.

let x = the number of seconds.

you get y = -3.5 * x + b.

when x = s seconds, the equation becomes y = -3.5 * s + b.

b is the y-intercept which is the value of y when x = 0.

when x = 0, no seconds have elapsed and the silo is therefore at whatever height it was before you started to empty it.

that would be the value of b.

if we assume that the height of the grain in the silo was 150 feet, then the formula would become

Step-by-step explanation:

y = -3.5 * x + 150

after s seconds, the formula would become y = -3.5 * s + 150.

if s was equal to 20, then the formula would become y = -3.5 * 20 + 150 which would then become y = -70 + 150 which would then become y = 80.

after 20 seconds, there would be 80 feet of grain left in the silo.

the graph of the equation would look like this.

from the graph, you can see that the height of the grain in the silo is 150 feet when you start and gets down to 80 feet after 20 seconds and that the silo will be empty somewhere between 42 and 43 seconds.

7 0
3 years ago
What is the value of x <br> (X+40)=3x
777dan777 [17]

Answer:

20

Step-by-step explanation:

collect like terms and divide both sides

7 0
3 years ago
Read 2 more answers
Other questions:
  • I need help on this please
    10·1 answer
  • State the horizontal asymptote of the rational function.f(x) = quantity x squared plus six x minus eight divided by quantity x m
    10·2 answers
  • Billy watch the clown car drive up to the circus and saw 14 clowns get out of one little car the clowns meet up 56% of the perfo
    12·2 answers
  • What is the surface area of the figure
    11·2 answers
  • What is 15/20 reduced
    15·2 answers
  • A bus traveled 300 miles in 6 hours. How many miles would the bus travel in 1 hour?
    14·2 answers
  • Mary and Tom were buying a present for their mother for Mother's Day. Mary spent $12 and Tom spent $28. If they want to share th
    7·2 answers
  • Dalton filled 5 jars using a total of 6 2/3 cups of coffee syrup. How many cups of syrup are in each jar?
    10·1 answer
  • WILL GIVE BRAINLIEST<br> Subtract 9x^2+7x-2<br> from 8x-10
    12·1 answer
  • Which equation can be used to solve x/8 = 5? (ANSWER AND YOU GET 50 POINTS)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!