The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.

Mathematics

1 answer:

Doss [256]2 years ago

7 0

Answer:

$22$

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for $?$ :

$\frac{28}{42}=\frac{?}{33}$ (divide corresponding sides)

$\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}$

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Question 9: Please help, what would be the length of the image of the segment GH?

shepuryov [24]

Answer:

The length of the image of the segment GH would be 5 units.

Explanation:

You can use the center of dilation as your origin of coordintes.

Thus, the point H would have coordinates (0,0) and the point G (-1,0).

A dilation multiplies the coordinates by the scale factor. Hence:

H = (0,0) → H' = 5 × (0,0) = (0,0)

G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)

Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.

3 0

2 years ago

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Please help ♡♡♡♡♡♡♡

lions [1.4K]

Step-by-step explanation:

$\angle AOB$ and $\angle BOC$ are linear pair angles.

$\therefore m\angle AOB + m\angle BOC = 180° \\ \therefore \: 3x + 124 \degree + 6x + 29 \degree = 180° \\ \therefore \: 9x + 153 \degree = 180° \\ \therefore \: 9x = 180° - 153 \degree \\ \therefore \: 9x = 27 \degree \\ \therefore \:x = \frac{27 \degree }{9} \\ \huge \pink{ \boxed{\therefore \:x =3 \degree }} \\ \\ \because \: m\angle BOC =6x + 29 \degree \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree \\ \therefore \: m\angle BOC = 18\degree + 29 \degree \\ \\ \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree }}$