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frez [133]
3 years ago
10

The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is

5 units long. What is the area of ΔDEF? 2 square units 4 square units 10 square units 20 square units
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
6 0
If the corresponding sides are equal the 2 triangles are congruent  ( by SSS) so their areas are the same
so area of triangle DEF = 4 sq units
yKpoI14uk [10]3 years ago
6 0

Answer:

The area of ΔDEF is 4\ units^{2}

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

and

The ratio of its areas is equal to the scale factor squared

In this problem

The corresponding sides of ΔABC and ΔDEF have equal lengths

therefore

the scale factor is equal to 1

The triangles are congruent

therefore

ΔABC and ΔDEF has the same area

You might be interested in
Tony wants to save $10,000 in 6 years. Assuming a 4% interest rate, what is the minimum he must save each month to reach his goa
arlik [135]

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

S=R(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

10000=R(\frac{(1+\frac{0.04}{12})^{12*6}-1}{\frac{0.04}{12}})

10000=R(\frac{(1+0.00333333333333)^{72}-1}{0.00333333333333})

10000=R(\frac{(1.00333333333333)^{72}-1}{0.00333333333333})

10000=R(\frac{1.27074187908-1}{0.00333333333333})

10000=R(\frac{0.27074187908}{0.00333333333333})

10000=R(81.2225637241)

\frac{10000}{81.2225637241}=R

123.11849739=R

which is approx $123.

Hence final answer is C) $123.

4 0
4 years ago
In relation t a functions? Is the inverse of relation t function
frozen [14]

Answer:

Relation t is a function. The inverse of relation t is not a function ⇒ 3rd

Step-by-step explanation:

* Lets explain how to solve the problem

- A relation is a set of inputs and outputs, and a function is a relation

 with one output for each input

- Ex: T = {(1 , 2) , (3 , 5) , (-4 , 0)} is a function because every input has

  only one output

- To find the inverse of a function we switched the input and the

  out put

- The inverse of a function may not always be a function

* Lets solve the problem

∵ The relation t is the set of ordered pairs of x and y

  x = 0     2      4    6

  y = -8    -7    -4    -4

∵ x = 0 has only y = -8

∵ x = 2 has only y = -7

∵ x = 4 has only y = -4

∵ x = 6 has only y = -4

∴ Every value of x has only one value of y

∴ Relation t is a function

* Lets find its inverse by switching x and y

∵ The inverse function of t is :

   x = -8     -7     -4    -4

   y =  0      2      4     6

∵ x = -8 has only y = 0

∵ x = -7 has only y = 2

∵ x = -4 has y = 4 and y = 6

∴ Not every value of x has only one value of y

∴ The inverse of relation t is not a function

* Relation t is a function. The inverse of relation t is not a function

4 0
3 years ago
HELP!!!!! PLEASE!!!!!!
viktelen [127]
First one hope this helps!
6 0
3 years ago
Read 2 more answers
I need help with the equation (11) - 2.
nirvana33 [79]

Answer:

it's technically 9 because it's the same as 11-2

3 0
3 years ago
What’s the value of X In this????
kkurt [141]

Answer:

x = 68 degrees

Step-by-step explanation:

Step 1: We know this is a isosceles triangle

Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59

Step 2: Use the 2 angles to find 'x'

Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68

Therefore angle x is 68 degrees

5 0
3 years ago
Read 2 more answers
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