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mr_godi [17]
3 years ago
5

What coordinate for F would make triangle ABC and triangle DEF congruent ?

Mathematics
2 answers:
timurjin [86]3 years ago
6 0
The answer is (-2, 3) but due to brainly's "guidelines" on posting an answer, apparently I have a link or inappropriate words, so message me or something and I'll give you my working.
Fittoniya [83]3 years ago
4 0

Answer:

Option B is correct

(-2, 3)

Step-by-step explanation:

From the given diagram:

The coordinates of triangle ABC are:

A(1, 0) , B(-1, 2) and C(2, 3).

The coordinates of triangle DEF are:

D(-1, 0) , E(1, 2)

We have to find coordinate F.

Let us consider triangle ABC and triangle DEF congruent.

A ↔ D

B ↔ E

C ↔ F

Using the rule of reflection across y-axis is given by:

(x, y) \rightarrow (-x, y)

Apply the rule of reflection on ABC we have;

A(1, 0) \rightarrow (-1, 0)=D

B(-1, 2) \rightarrow (-(-1), 2)=(1, 2)=E

C(2, 3) \rightarrow F(-2, 3)

Therefore, the  coordinate of  F would make triangle ABC and triangle DEF congruent is, (-2, 3)

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
Will mark you as brainliest. If your good with polynomials.
kobusy [5.1K]
To solve/simplify this all you have to do is group like terms (the x^2's with each other, the x's with each other, and the normal numbers, -8)

14x^2-8+5x-6x^2+2x

group the x^2 (add 14x^2 to -6x^2)

8x^2-8+5x+2x

group the x's together (add 5x and 2x together)

8x^2+7x-8

Your answer will be d) 8x^2+7x-8



4 0
3 years ago
EFGH is a parallelogram. Find the measure of FG.
Elan Coil [88]

Answer:

FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

4 0
3 years ago
Shaylee has 77 pennies. She will trade in the pennies to get nickels.
Ghella [55]
0.77 / 0.05 = 15.4 ...so we know it is 15 nickels
15 * 0.05 = 0.75.....0.77 - 0.75 = 0.02....with 2 pennies left over
 
ur answer is : 15 nickels and 2 pennies left over
6 0
3 years ago
Read 2 more answers
To complete a task in 15 days a company needs 4 people each working for 8 hours per day. the company decides to have 5 people ea
Lilit [14]
It would take 16 days
explanation
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3 0
3 years ago
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