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
WITCHER [35]
2 years ago
13

Solve similar triangles solve for x can someone answer please help

Mathematics
1 answer:
zlopas [31]2 years ago
8 0

Answer:

Step-by-step explanation:

ΔABC & ΔADE are similar triangles

\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{12}{4}=\frac{12}{x}\\

Cross multiply,

12*x = 12*4

x=12*\frac{4}{12}\\

x = 1 * 4

x = 4

You might be interested in
HELP PLEASEEEE. The question is attached. I would appreciate if someone could help me.
Blizzard [7]

a counterclockwise rotation about the origin of 90°

The coordinates of P(3, 3), Q(5, 3), R(5, 7)

The coordinates of P'(- 3, 3 ), Q'(- 3, 5), R'(- 7, 5)

Note that the y-coordinate of the image is the negative of the original, while the x-coordinate of the original becomes the y-coordinate of the image

The rotation which does this is a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )


8 0
3 years ago
A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman
Yanka [14]

Answer:

W\approx 8.72 and L\approx 15.57.

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

2L+W+\frac{1}{2}(2\pi r)=38

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

2L+W+\frac{1}{2}(2r\pi)=38

2L+W+\frac{\pi}{2}W=38

Let us find area of window equation as:

\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)

\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})

\text{Area}=W\cdot L+\frac{\pi}{8}W^2

Now, we will solve for L is terms W from perimeter equation as:

L=38-(W+\frac{\pi }{2}W)

Substitute this value in area equation:

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2

Since we need the area of window to maximize, so we need to optimize area equation.

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2  

A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2  

Let us find derivative of area equation as:

A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W  

A'=38-2W-\pi W+\frac{\pi}{4}W    

A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W

A'=38-2W-\frac{3\pi W}{4}

To find maxima, we will equate first derivative equal to 0 as:

38-2W-\frac{3\pi W}{4}=0

-2W-\frac{3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}*4=-38*4

-8W-3\pi W=-152

8W+3\pi W=152

W(8+3\pi)=152

W=\frac{152}{8+3\pi}

W=8.723210

W\approx 8.72

Upon substituting W=8.723210 in equation L=38-(W+\frac{\pi }{2}W), we will get:

L=38-(8.723210+\frac{\pi }{2}8.723210)

L=38-(8.723210+\frac{8.723210\pi }{2})

L=38-(8.723210+\frac{27.40477245}{2})

L=38-(8.723210+13.70238622)

L=38-(22.42559622)

L=15.57440378

L\approx 15.57

Therefore, the dimensions of the window that will maximize the area would be W\approx 8.72 and L\approx 15.57.

8 0
3 years ago
.!.!..!.!..!.!..!.!.!..!.!!..!9
vladimir1956 [14]

Answer:

47 degrees

Step-by-step explanation:

total degrees in a triangle is 180

since this is a right triangle there is a 90 degree in there and it also gives the 43 degree

subtract 90 and 43 from 180 and you get 47

3 0
2 years ago
I need help with 3-4 quick
Agata [3.3K]
3-4 = -1

Hope this helps!

:)


6 0
3 years ago
Solve the system of linear equations using the
MArishka [77]

Answer:

no solution

Step-by-step explanation:

y = -2x + 3

6x + 3y = -3

the substitution method means you plug one equation into the next, because the first equation gives us a solution for y we can go ahead and plug that into y of the second equation

6x + 3(-2x + 3) = -3

6x - 6x + 9 = -3

9 = -3

which is false meaning that there are no solutions and the lines don't touch at any point

8 0
3 years ago
Other questions:
  • In the summer a large pool evaporates water at 15% per day. If the pool starts out with 25,700 gallons of water, which function
    6·1 answer
  • In a recent 10 year period, the change in the number of visitors to U. S. National Park was about -11,150,000.
    10·2 answers
  • Solve 1235 ÷ 100<br> a. 1.235<br> b. 123.5<br> c. .1235<br> d. 12.35
    7·1 answer
  • Y=3x+5 and y=3x-10
    6·1 answer
  • What is the x-value that solves the system 4x-y=21 and y=3x-7
    11·2 answers
  • Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, i
    6·1 answer
  • Any five people on a committee of nine can decide for the committee. How many groups of five people are there?
    12·2 answers
  • ****no links please****
    6·2 answers
  • 12. The area of the flower garden is 9.7 square meters
    15·1 answer
  • Goals scored by a hockey team in successive matches are 5,7,4,2,4,0,5,5 and 3. What is the number of goals, the team must score
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!