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1 year ago

For which segment lengths is AC¯¯¯¯¯ parallel to DE¯¯¯¯¯ ?

Mathematics

2 answers:

Lemur [1.5K]1 year ago

8 0

I just took the test, this is the only question i got wrong.

#1-Parallel.

#2-Parallel

#3-Not parallel

Kruka [31]1 year ago

4 0

Answer:

Step-by-step explanation:

By triangle theorem for similarity we have

AC||DE if and only if

the ratios

$\frac{AD}{BD}=\frac{CE}{EB}$

Option I:

Here we find the ratios are equal to 1/2

Hence parallel

OPtion 2:

Here we get both ratios equal to 2/3 Hence parallel

Option 3:

Here we get I ratio =2/5 and II ratio =4/7

Since the two are not equal we get not parallel

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Half the product of two numbers a and b, added to thrice a third number c

Alexus [3.1K]

Answer:

ab/2 + 2c

Step-by-step explanation:

Half the product would be represented by “product/2”

The product of two numbers a and b can be represented by “ab”

Added to twice a third number c = + 2c

8 0

1 year ago

Suppose that we wish to expand (x + y + z)17. what is the coefficient of x 2 y5z10

Delvig [45]

We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:

[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k

In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.

n - m = 2
m - k = 5
k = 10

Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.

m - 10 = 5
m = 15

n - 15 = 2
n = 17

Therefore, the coefficient is equal to:

Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408

6 0

2 years ago

RS=2x-8, ST= 11, RT= x+10

swat32

Answer:

X=7 ST=11 RT=17

Step-by-step explanation:

RT=RS+ST. RS= 2(7)-8. ST=11

X+10=2x-8+11. =14-8=6. RT= x+10

X+10=2x+3. RS=6. 7+10=17

10=x+3. RT=17

X=7

4 0

1 year ago

a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the lar

Scorpion4ik [409]

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

$l_s = 2\ ft\\w_s = 3\ ft$

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

$l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet$