Answer: 21
Step-by-step explanation:
Let the consecutive odd numbers be represented by x and x+2. Therefore,
x × (x+2) = 483
x² + 2x = 483
x² + 2x - 483 = 0
x² + 23x - 21x - 483 = 0
x(x + 23) - 21(x + 23) = 0
(x - 21) = 0
x = 0 + 21
x = 21
The smaller integer is 21
The larger integer is 21 + 2 = 23.
Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
Answer:
Step-by-step explanation:
since AD is a median it implies that triangle ABC is bisected to two equal right angled triangle which are ADB and ADC.
FE is parrallel to BC and cuts AB at F and AC at E shows that there are two similar triangles formed which are AFE and ABC.
Recall that ADC is a right angled triangle, ED bisects a right angled triangle the the ADE = 
.
Now, Let FD bisect angle ADB,
then ADF = too.
Since AFX is similar to Triangle ABD and that Triangle AEX is similar to Triangle ACD, then EDX is similar to FDX
FDE = ADF + ADE = 
Just by the language difference means subtract,
Y^2-25 is the difference of squares
factored it's the sum and difference of their square roots
(x+5) (x-5)
