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
sineoko [7]
3 years ago
8

Coordinates A (1, 2), B (3, 2) and C (3, 5) are connected to form ΔABC. If ΔDFE is similar to ΔABC, what are the coordinates of

F? D (6,5), E (10,11)

Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0
F(10,5), I hope this helped you

vesna_86 [32]3 years ago
6 0

Answer:

Possible coordinate of F are (10,5) and (6,11)

Step-by-step explanation:

Coordinates A (1, 2), B (3, 2) and C (3, 5) are connected to form ΔABC

First we plot the points on coordinate plane and then draw triangle ABC. Please see the attachment for figure.

If ΔDFE is similar to ΔABC then their corresponding sides are in proportional.

\therefore \frac{AB}{DF}=\frac{AC}{DE}=\frac{BC}{FE}

Using distance formula, d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(3-1)^2+(2-2)^2}=\sqrt{4+0}=2

AC=\sqrt{(3-1)^2+(5-2)^2}=\sqrt{4+9}=\sqrt{13}

BC=\sqrt{(3-3)^2+(5-2)^2}=\sqrt{0+9}=3

DE=\sqrt{(10-6)^2+(11-5)^2}=\sqrt{16+36}=2\sqrt{13}

\frac{AC}{DE}=\frac{1}{2}

We can see  ABC is right angle triangle. So, DEF must be right angle triangle because ΔDFE ~ ΔABC

\frac{BC}{FE}=\frac{1}{2}=\frac{3}{6}

\therefore FE=6

\frac{AB}{DF}=\frac{1}{2}=\frac{2}{4}

\therefore DF=4

Thus, Possible coordinate of F are (10,5) and (6,11)

You might be interested in
Can someone please help me with this problem.
iren [92.7K]
X^2 + 3x - 6

This is because x^2 and 3x have nothing they can combine with, leaving them as their own number. 1 + - 6 will give you -5 as adding to a negative only reduces not adds entirely.

Hope this helps!
8 0
3 years ago
Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​
fomenos

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                                   

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

3 0
3 years ago
X= -1/5; f(x) = (25/2)x + (-91/2) =
Diano4ka-milaya [45]

Answer:

Write the problem as a mathematical expression.

X=−1/5; f(x)=(25/2)x+(−91/2)

Replace the variable x with x=−1/5 in the expression.

f(−1/5)=(25/2)(−1/5)−91/2

Simplify the result.

−48

Step-by-step explanation:

4 0
2 years ago
The radius of an orange is 1.5 inches.
diamong [38]

Answer:

14.14

Step-by-step explanation:

V=4

3πr3=4

3·π·1.53≈14.13717

5 0
3 years ago
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $
koban [17]

Answer:

5.72

Step-by-step explanation:

(-16.75 + 16.75) = 0

0 + 5.72= 5.72

Therefore, the answer is 5.72

4 0
3 years ago
Other questions:
  • How would you factor this linear expression? 2x 6
    8·1 answer
  • Which of the ordered pairs in the form (x, y) is a solution of this equation?
    14·1 answer
  • What is the solution to the equation 1 over 54 multiplied by x is equal to 1 over 9?
    14·2 answers
  • Rewrite the expression with a rational exponent as a radical expression
    7·1 answer
  • PLSSSS HEEEELPPP
    9·1 answer
  • How to solve this 25 points!!!
    11·1 answer
  • Ten kids line up for recess. There are five boys and five girls. How many ways are there for the 10 kids to line up so that all
    5·1 answer
  • Y = 5x - 8<br><br> 4x + 3y = 33 el valor de x es ?
    12·1 answer
  • A recipe use 5 cups of flour for every 2 cups of sugar .a.how much sugar is used for 1 cup of flour? b.how much flour is used fo
    10·1 answer
  • 100 POINTS FOR 4 QUESTIONS ITS EASY GUYS FOUR PICTURES ATTATCHED
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!