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Alla [95]
2 years ago
7

Which of these statements are true? (Geometry- look at image)

Mathematics
1 answer:
Shkiper50 [21]2 years ago
4 0

Answer:

C

Step-by-step explanation:

If two angles of one triangle are congruent to two angles of another triangle then the triangles are similar by the AA postulate

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Answer:

A. {T_{-6,-2}}\circ {r_{x-axis}}(x,y)

Step-by-step explanation:

We have that, ΔABC is transformed to get ΔA''B''C''.

We see that the following transformations are applied:

1. Reflection across x-axis i.e. flipped across x-axis.

Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.

2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.

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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he
11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

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For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

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S.A = πr² + πrL

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We can use pythagoras theorem to get L.

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L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

L = √169

L = 13

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S.A = 25π + 65π = 90π

Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

So, S.A is now = 90π - π(5)²

= 90π - 25π = 65π

Thus,total surface area of the pencil = 725π + 65π = 790π

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