All categories

2 years ago

Question 2

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

6 0

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

You might be interested in

Which system of linear equations appears to have a solution of (–1, 4)? On a coordinate plane, 2 lines intersect at (1, negative

madam [21]

Answer:

On coordinate plane, 2 lines intersect at (negative 1, 4)

Step-by-step explanation:

negative 1 = -1, 4 = 4

therefore this means that this coordinate is also (-1, 4)

6 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through (4,-1) and (-2,3)

vladimir1956 [14]

Answer: y-6 = 0.5 (x-8)

Step-by-step explanation:

y − y1 = m(x − x1)

The equation is useful when we know:

one point on the line: (x1,y1)

and the slope of the line: m,

and want to find other points on the line.

Have a play with it first (move the point, try different slopes):

8 0

2 years ago

A carpenter from one town charges $35.00 an hour for building a porch. A carpenter from the next town charges $32.75 an hour. Wh

DochEvi [55]

Percent Decrease=old -new/old *100
35-32.73/35*100
2.25/35*100
0.064*100
6.4%

8 0

2 years ago

Which of the following rotational symmetry is applied to the isosceles triangle

ioda

Answer:

Rotational symmetry of 180° about the origin: Yes.

Rotational symmetry of 270° about the origin: No.

Explanation:

A figure is a rotationally symmetrical if it look the same after a given turn.

We have to analyze if the parallelogram has rotational symmetry of 180° or 270°. picture the figure rotating a given amount of degrees to see if it looks the same or not.

180 degree rotation:

We can see that the figure looks the same after a 180° rotation.

270 degree rotation:

We can see that the figure does not look the same after a 270° rotation.

So the answer will be:

Rotational symmetry of 180° about the origin: Yes.

Rotational symmetry of 270° about the origin: No.