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4 years ago

If triangle ABC is similar to triangle DEF, which statement is true about the two triangles ?

Mathematics

2 answers:

miv72 [106K]4 years ago

8 0

The first answer angle AB is congruent to angle DE

den301095 [7]4 years ago

3 0

Answer: Segment BC is proportional to segment EF and angles A and D are congruent.

Step-by-step explanation:

The properties of Similar Triangles are :-

Corresponding angles are congruent .
Corresponding sides are all in the same proportion.

Therefore, if triangle ABC is similar to triangle DEF then its corresponding angles are congruent and corresponding sides are all in the same proportion.

Thus, only second statement is true according to the properties.

Segment BC is proportional to segment EF and angles A and D are congruent.

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The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area

professor190 [17]

Answer: The width is 12 feet shorter than the length.

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

$A=lw$

Where "l" is the lenght and "w" is the width of the rectangle.

We know that lenght of Jennie's yard is 30 feet, the width is $(30-x)ft$ and the area is 540 square feet. Then:

$l=30\\w=(30-x)\\A=540$

Substitute these values into the formula and then solve for "x":

$A=lw\\\\540=30(30-x)\\\\540=900-30x\\\\30x=900-540\\\\x=\frac{360}{30}\\\\x=12$

Therefore, the width is 12 feet shorter than the length.

4 0

4 years ago

Read 2 more answers

La un concurs, se acordă 10 puncte pentru o problema rezolvată corect si se scad 2 puncte

mylen [45]

Answer:

2 wrongly solutions and 18 right solutions

Step-by-step explanation:

The computation is shown below:

= 20 (problems) × 10 (points)

= 200 points

And it received 176 points

So the difference is of

= 200 - 176

= 24

In the case of wrong solution, the points that are lost is

= 10 + 2

= 12

Now the solutions done wrongly is

= 24 ÷ 12

= 2

And, the solutions does rightly is

= 20 - 2

= 18

6 0

3 years ago

Alice and carl each have the same total number of marbles. alice put her marbles into groups of 4 with none left over.carl put h

11111nata11111 [884]

Into? Is hard to answer without the rest of the problem

6 0

3 years ago

Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t

andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: $8$ miles

2nd day: $12$ miles

3rd day: $18$ miles

4th day: $27$ miles

Step-by-step explanation: As the problem says, $x$ is the number of miles he rides on the first day. Let's start off with that.

1st day: $x$ miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: $1.5x$