Answer:
No
Step-by-step explanation:
10/18 does not equal 45/18
An example of a proportional number is:
4/5 and 8/10
Both numbers are multiplied by 2 making them proportional
10/18 and 45/18 are not proportional
Hope this helped :)
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
∴ x= 17
Step-by-step explanation:
the total of angel in 90°
∴ 2x+3+3x+2 =90
∴ 5x +5 =90
5x=90-5
5x = 85 (divide both side by 5)
∴ x= 17
Answer:
For this equation to be true, a must = 13 and b must = 10 + 2i.
Step-by-step explanation:
First combine the numerators: 3 + 5 + 2i + 2, or 10 + 2i.
Next, multiply the denominators: 4 + 9 = 13
Then rewrite the original equation as:
10 + 2i a
---------- * ---- = 1
13 b
For this equation to be true, a must = 13 and b must = 10 + 2i.
