All categories

3 years ago

If ∆BCD ~ ∆GEF, find the value of x.

Mathematics

2 answers:

Karolina [17]3 years ago

8 0

X=48
Y=44
Because the triangles are congruent.

Novosadov [1.4K]3 years ago

7 0

Answer:

x = 48

y = 44

Step-by-step explanation:

By corresponding parts of a congruent triangle (cpct)

BC = US ------ 1

CD = ST

BD = UT ------- 2

From 1 and 2,

y = 44

x = 48

Hope it helps

You might be interested in

Find the pressure if a force of 750 N acts on an area of 12 cm3

Leto [7]

The answer is P=F/A I had a quiz on these

5 0

3 years ago

Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the

Neko [114]

Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be $= 2x - 12$

When Jim gets 12 books from Sam, his books will be $= x + 12$

And as per given question, they both now have equal books, so

$2x - 12 = x + 12$

Adding 12 in both sides

$2x - 12 + 12 = x + 12 + 12$

$2x = x + 24$

Subtracting x from both sides

$2x - x = x + 24 - x$

$x = 24$

It means Jim has number of books = 24

So, Sam has numberof books = $24 * 2 = 48$

So, they have number of books together = $24 + 48 = 72$ : Answer

Hope it will help :)

5 0

3 years ago

Read 2 more answers

For what month would you estimate the theoretical probability of a maximum temperature no greater than 90ºF to be about 0.13?

sergey [27]

Perhaps it is July, I think it is the hotest month of summer.

3 0

3 years ago

On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?

Marina86 [1]

A -120 difference will be seen in the temperature within a 7 hour period

Equation

-30 x 7

Multiplying two of different signs ( - + , + - ) will always be negative.

Multiplying two of the same sign ( - - , + + ) will always be positive.

8 0

4 years ago

Help pls, i'm stuck on this question

dalvyx [7]

Answer:

∠x = 60°

Step-by-step explanation:

first:

∠a = 60° was given

the sides on each side of ∠a are equal so their opposite angles are equal also.

The sum of the interior angles of any triangle is 180°

The angles opposite ∠a are (180° - 60°)/2 = 60° each

Second:

∠b = 60° was given

so the angles opposite ∠b are also 60° each

Third:

the 2 angles opposite x are both 60° each because they are both vertical angles to 60°

That leaves ∠x to be 180° - 60° - 60° = 60°

5 0

3 years ago