Answer:
45 degrees for 8
135 degrees for 9
48 for 10
Yes a square is a rectangle
Next ones.
Sut = 21 becuase x=5
7
Step-by-step explanation:
Last one:
x^2 + 8 = 3x + 36
- 8 - 8
x^2 = 3x + 28
-3x -3x
x^2 - 3x = 28
(x · x) - 3x = 28.
This was were a little guess work was used,
I found that any number lower than 7 is less than 28 when pluged into x and any above is higher.
Hence x = 7
So
x^2 + 8 = 7^2 + 8
7 x 7 = 49. 49 + 8 = 57.
and
3x+36 = 7 x 3 + 36
7x3 = 21. 21 + 36 = 57.
Both lines are equal so x is indeed 7.
The RSTU rectangle
3x+6 = 5x-4
+4 +4
3x+10 = 5x
-3x -3x
10 = 2x
10/2 = 5
5 = x or x = 5
plug it in now
3 x 5 = 15. 15 + 6 = 21
and
5 x 5 = 25. 25 - 4 = 21
so x = 5
8-10
QRS = 45 degrees because bisects the square with a diagonal line from corner to corner
PTQ is a 135 degrees because it is wider than a 90 degrees angle and meets both upper corner from the middle of the square making it 135 degrees.
SQ = 48 because RT = 24 and RT is half the length of SQ meaning its length would be 48
Or
SQ= 24 degrees because RT = 24 and if RT was to continue on the line it is on it will reach the length of SQ.
For area A, the width will be √(3A/4), so for the three rugs, the widths are 6 ft, 9 ft, 12 ft. Corresponding lengths are 4/3 times that, so are 8 ft, 12 ft, 16 ft.
The rug dimensions are
.. 6 ft x 8 ft
.. 9 ft x 12 ft
.. 12 ft x 16 ft
Pick the one(s) that are on your list.
Answer:
x = 50
Step-by-step explanation:
add all terms and set sum equal to 360
the 'hint' of (n-2)180 determines how many degrees there are inside the polygon; if 'n' equals the number of sides and the polygon has 4 sides then sum of interior angles is (4-2)180 or 2x180 which is 360
x + 10 + 3x + x + 2x = 360
combine like terms to get: 7x + 10 = 360
7x = 350
x = 50
You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle
Answer:
the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake
Step-by-step explanation:
Hope this helps