Answer:
ED = 8 units
Step-by-step explanation:
ΔAEB and ΔDEC are similar triangles, hence the ratios of corresponding sides are equal, that is
= , that is
= ( cross- multiply )
6(2x + 4) = 9(x + 4) ← distribute parenthesis on both sides
12x + 24 = 9x + 36 ( subtract 9x from both sides )
3x + 24 = 36 ( subtract 24 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Hence ED = x + 4 = 4 + 4 = 8 units
2(-1)^2+3+5
2(1)+3+5
5 + 5
answer: 10
Answer:
B. 13.3
Step-by-step explanation:
Given:
AM = 6
MB = 4
AN = 8
Since ∆ABC ~ ∆AMN, therefore:
AB/AM = AC/AN
AB = AM + MB = 6 + 4 = 10
AC = AN + NC = 8 + NC
Plug in the values into the equation
10/6 = (8 + NC)/8
5/3 = (8 + NC)/8
Cross multiply
8*5 = 3(8 + NC)
40 = 24 + 3NC
40 - 24 = 3NC
16 = 3NC
Divide both sides by 3
5.3 = NC
NC = 5.3
✅AC = 8 + NC
Plug in the value of NC
AC = 8 + 5.3
AC = 13.3
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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I think that the answer is 5. But,it could be some thing else