40 it's the same angle as angle A rotation doesn't change anything
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.
Answer:
C y= 3x+2
Step-by-step explanation:
40x+8x^2=0 can be solved for x (there are two solutions):
Divide all 3 terms by the greatest common multiple (which is 8x):
40x+8x^2=0
------------- -----
8x 8x
5 + x = 0 produces the root x = - 5.
Setting 8x = 0 and solving for x produces the root x = 0.
Be certain to check these results. substitute x = -5 into 40x+8x^2=0. Is the resulting equation true or false? Next, subs. x=-5 into 40x+8x^2=0. Is the resulting equation true or false?
Answer:
a) $654
b) 27 unidades cuadradas
c) 721
Step-by-step explanation:
a) ¿Cuál es el valor de un bolígrafo cuando la docena se compra por $ 7848?
Una docena = 12
Por eso:
12 bolígrafos = $ 7848
1 bolígrafo = $ x
Cruz multiplicar
12 bolígrafos × $ x = 1 bolígrafo × $ 7848
$ x = 1 bolígrafo × $ 7848/12
$ x = $654
b) Área de un triángulo ¿9 unidades de base y 6 unidades de altura?
Área de un triángulo =
= 1/2 × Base × Altura
1/2 × 9 × 6
= 27 unidades cuadradas
c) Cien veces la suma de 4.5 con 2.71
Esto se calcula como:
100 × (4,5 + 2,71)
= 100 × (7.21)
= 721
