Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
Answer:
the download cost for a song is $1 and $11 for a movie
Step-by-step explanation:
According to the questions, the following equations are as follows:
Let us assume the song be x
And, the movies be y
So,
20x + 13y = $163.........(i)
13x + 13y = $156........(ii)
Now solve substract second equation from the first equation
7x = $7
x = $1
And the y value is
20 + 13y = $163
13y = $163 - $20
13y = $143
y = $11
Hence, the download cost for a song is $1 and $11 for a movie
Given,
The sum of three integers is 92
So,
Let,
The first integer be "x"
The second integer be "y"
The third integer be "z"
Now,
According to the question,
y = 3x ..............equation (1)
z = 2x - 10 .............. equation (2)
x + y + z = 92 ..............equation (3)
Now,
Substituting the value of "y" and "z" from equation (1) and (2), we get,
x + (3x) + (2x - 10) = 92
x + 3x + 2x - 10 = 92
6x - 10 = 92
6x = 92 + 10
x = 102 / 6
x = 17
Now,
substituting the value of "x" in equation (1)
y = 3 (17)
y = 51
Now,
Substituting the value of "x" in equation (2),
z = 2 (17 ) - 10
z = 34 - 10
z = 24
So, the numbers are 17, 51 and 24
NEVER HATE MATH!!!
x + 30 = 2x (since angleA = angle D, due to congruency between the two triangles.)
30 = 2x - x
30 = x
hope it helps...!!!
Answer:
A(0,-3) B (5,0) C(0,-7)D(5,-4)
Step-by-step explanation: