Answer:
59 degrees
Step-by-step explanation:
In the figure below, XZ is a diameter of circle A.
Since the Angles (5w+4) and (11w) forms a straight line, then:
![(5w+4)^\circ+(11w)^\circ=180^\circ\\5w+11w+4=180\\16w=180-4\\16w=176\\w=\frac{176}{16}\\ w=11](https://tex.z-dn.net/?f=%285w%2B4%29%5E%5Ccirc%2B%2811w%29%5E%5Ccirc%3D180%5E%5Ccirc%5C%5C5w%2B11w%2B4%3D180%5C%5C16w%3D180-4%5C%5C16w%3D176%5C%5Cw%3D%5Cfrac%7B176%7D%7B16%7D%5C%5C%20w%3D11)
Therefore, the arc measure of YZ will be:
![5w+4=5*11+4=59^\circ](https://tex.z-dn.net/?f=5w%2B4%3D5%2A11%2B4%3D59%5E%5Ccirc)
It has been drawing for 3 days
Answer:
3 unidades de comprimento
Step-by-step explanation:
O perímetro é definido como a soma de todos os lados.
O perímetro de um quadrado de lado 2x é dado por:
![Q=4*2x=8x](https://tex.z-dn.net/?f=Q%3D4%2A2x%3D8x)
O perímetro de um retângulo de comprimento x e largura x² é dado por:
![R=2x+2x^2](https://tex.z-dn.net/?f=R%3D2x%2B2x%5E2)
Para que ambos os perímetros sejam iguais:
![R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3](https://tex.z-dn.net/?f=R%3DQ%5C%5C8x%3D2x%2B2x%5E2%5C%5Cx%5E2%3D%5Cfrac%7B6%7D%7B2%7Dx%5C%5C%20x%3D3)
O valor de x é igual a 3 unidades de comprimento.
Answer:
y = -
x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (5, - 8)
m =
=
= - ![\frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D)
y = -
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 8), then
- 8 = - 6 + c ⇒ c = - 8 + 6 = - 2
y = -
x - 2 ← is the equation of the line
<span>Stephen and Aaron solved the same equation using two separate methods. Their work is shown in the table below:
Stephen Aaron:
3x - 2 = 5x - 6 3x - 2 = 5x - 6
3x - 2 + 2 = 5x - 6 + 2 3x - 3x - 2 = 5x - 3x - 6
3x = 5x - 4 -2 = 2x - 6
3x - 5x = 5x - 5x - 4 -2 - 6 = 2x
-2x = -4 -8 = 2x
x = 2 -4 = x
Identify who made the error and what he did wrong.
Aaron made the error when he subtracted 6.
Aaron made the error when he subtracted 3x.
Stephen made the error when he added 2.
Stephen made the error when he subtracted 5x.
answer:
</span>In the Aaron`s work:
- 2 = - 2 x - 6
and after that:
- 2 - 6 = 2 x
It should be:
- 2 + 6 = 2 x
or: - 2 + 6 = 2 x - 6 + 6
Answer:
A ) Aaron made the error when he subtracted 6.