Answer:
x = 10
Step-by-step explanation:
Since the triangles are similar the ratios of corresponding sides are equal
= 
, that is
= ( cross- multiply )
20(4x + 2) = 84x
80x + 40 = 84x ( subtract 80x from both sides )
40 = 4x ( divide both sides by 4 )
x = 10
Answer:
<em>Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.</em>
<em />
It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of <span><span>12</span><span>12</span></span>.
<span><span>1) multiply both coordinates by scale factor<span>(<span><span>2⋅<span>12</span>,4⋅<span>12</span></span><span>2⋅<span>12</span>,4⋅<span>12</span></span></span>)</span></span><span>2)
2. Simplify(1,2)</span><span>3)
3. Graph(if required)<span> </span></span></span>
Answer:
19
Step-by-step explanation:
3.920(1.018)ˣ = 5.500
- First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
- Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
- We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
- Then we can divide both sides by ln(1.108) to get:
- Then using a calculator we get x = 18.98 ≈19
Answer:
32 pizzas
60 pizzas
1/24
Step-by-step explanation:
Se hicieron 8 docenas de pizzas.
Una docena es 12, por lo tanto, el número de pizzas hechas fue:
8 * 12 = 96 pizzas
1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:
1/3 * 96 = 32 pizzas
5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:
5/8 * 96 = 60 pizzas
El número total de pizzas vendidas es:
32 + 60 = 92 pizzas
Esto significa que no se vendieron 4 pizzas. En forma de fracción:
4/96 = 1/24
