The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.

6 0

4 years ago

Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,

Hatshy [7]

Answer: $T'(18,36)$

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of $\frac{9}{5}$ , you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

$T(10,20)$

You get that the coordinates of the Image T' are the shown below:

$T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)$

6 0

4 years ago

Find the surface area of the cylinder give your answer in terms of pi. The radius is 4mm and the height is 5mm

Komok [63]

The surface area of a cylinder is the area of the bases plus the area of the side, or SA = 2*A₁ + A₂

Since the area of a circle is $\pi r^{2}$ ,
SA = 2*( $\pi r^{2}$ ) + A₂

Since the area of the side is height * the circumference of the circle or A₂ = h * $2 \pi r$ , then SA must be;

SA = $2* \pi (r ^{2} )+h*2 \pi r$
SA = $2* \pi (4 ^{2} )+5*2 \pi (4)$
SA = $32* \pi+80 \pi$
SA ≈ <span>351.858377202</span>

3 0

3 years ago