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2 years ago

Triangle ABC is the pre-image and triangle DFE is the image.

Mathematics

1 answer:

anzhelika [568]2 years ago

6 0

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

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3 years ago

Line ET is tangent to circle A and T, and the measure of arc TG is 46 degrees. What is the measure of Angle GET

kogti [31]

Answer:

$m\angle GET=67^o$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The measure of the external angle is the semi-difference of the arches it covers.

$m\angle GET=\frac{1}{2}[arc\ TN-arc\ TG]$

Remember that the diameter divide the circle into two equal parts

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TN is a diameter

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$arc\ TN=180^o$ ----> because is half the circle (TN is a diameter)

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3 years ago

In New York State, the minimum wage has grownexponentially. In 1966, the minimum wage was$1.25 an hour and in 2015, it was $8.75

Alona [7]

The Solution.

In 1966, which is the initial year(t); t = 0, and minimum wage(y), y = $1.25

Similarly.

In 2015, t = 49 years , (that is, 1966 to 2015), and y = $8.75

The rate of growth to the nearest percent is

$\text{Rate of growth =}\frac{y_2-y_1}{t_2-t_1}\times100$ $\begin{gathered} \text{Where y}_2=8.75,t_2=49\text{ years} \\ y_1=\text{ \$1.25},t_1=0 \end{gathered}$

Substituting into the formula above, we get

$\text{Rate of growth =}\frac{8.75-1.25}{49-0}\times100$ $\text{Rate of growth = }\frac{7.5}{49}\times100=15.31\approx15\text{ \%}$

Hence, the correct answer is 15%

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1 year ago