Answer:
Step-by-step explanation:
use known angles and rules to find unknown values
vertical angles (pairs of angles on opposite sides of an intersection) are equivalent
supplementary angles (angles found next to each other on a line) add up to 180 degrees
opposite interior angles are equivalent
And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"
using these rules you can find all missing angles.
1= 75
2=180-75=105
let me know if you need more help than this
90 degrees
the diagonals intersect at right angles
Answer:
- height: 9 chi 6 cun
- width: 2 chi 8 cun
Step-by-step explanation:
The factor-of-ten relationship between the different units means we can combine the numbers in decimal fashion. If 1 unit is 1 zhang, then 1 chi is 0.1 zhang and 1 cun is 0.01 zhang. Hence 6 chi 8 cun is 0.68 zhang.
Let x and y represent the width and height, respectively. In terms of zhang, we have ...
y - x = 0.68
x^2 +y^2 = 1^2
Substituting y = 0.68 +x into the second equation gives ...
x^2 + (x +0.68)^2 = 1
2x^2 +1.36x - 0.5376 = 0 . . . . . eliminate parentheses, subtract 1
Using the quadratic formula, we have ...
x = (-1.36 ±√(1.36^2 -4(2)(-0.5376)))/(2·2) = (-1.36 ±√6.1504)/4
x = 0.28 . . . . . the negative root is of no interest
y = 0.28 +0.68 = 0.96
In units of chi and cun, the dimensions are ...
height: 9 chi 6 cun
width: 2 chi 8 cun
Answer:
Step-by-step explanation:
I think you are inventing symbols, which turns your question into a guessing game. You are better off describing the math symbols in words. Or post a picture.
I’m guessing that the math expression is ∛27 + √64² - 2 = 3 + 64 - 2 = 65
