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3 years ago

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

1 answer:

4 0

<span>Based on the lengths given, 6 cm, 10 cm and 12 cm, the classification that best describes the triangle is that "It is a Scalene triangle." A scalene triangle is a type of triangle whose sides are not of the same length. </span>

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There are 267 students and 21 adults going on a field trip an equal number of people will ride on each bus there are 9 buses how

DiKsa [7]

Answer:

The number of people on each bus is 32

Step-by-step explanation:

We are given

Total number of students =267

Total number of adults =21

So,

Total number of passengers = ( Total number of students)+(Total number of adults)

now, we can plug values

Total number of passengers =267+21

Total number of passengers =288

We are given

Number of buses=9

so,

Number of passengers on each bus = (total number of passengers)/( Number of buses)

now, we can plug values

Number of passengers on each bus is

$=\frac{288}{9}$

$=32$

So,

The number of people on each bus is 32

6 0

3 years ago

In the given figure △ABC ≅△DEC. Which of the following relations can be proven using CPCTC ?

Serhud [2]

Option B:

$\overline{A B}=\overline{D E}$

Solution:

In the given figure $\triangle A B C \cong \triangle D E C$ .

If two triangles are similar, then their corresponding sides and angles are equal.

By CPCTC, in $\triangle A B C \ \text{and}\ \triangle D E C$ ,

$\overline{AB }=\overline{DE}$ – – – – (1)

$\overline{B C}=\overline{EC}$ – – – – (2)

$\overline{ CA}=\overline{CD}$ – – – – (3)

$\angle ACB=\angle DCE$ – – – – (4)

$\angle ABC=\angle DEC$ – – – – (5)

$\angle BAC=\angle EDC$ – – – – (6)

Option A: $\overline{B C}=\overline{D C}$

By CPCTC proved in equation (2) $\overline{B C}=\overline{EC}$ .

Therefore $\overline{B C}\neq \overline{D C}$ . Option A is false.

Option B: $\overline{A B}=\overline{D E}$

By CPCTC proved in equation (1) $\overline{AB }=\overline{DE}$ .

Therefore Option B is true.

Option C: $\angle A C B=\angle D E C$

By CPCTC proved in equation (4) $\angle ACB=\angle DCE$ .

Therefore $\angle A C B\neq \angle D E C$ . Option C is false.

Option D: $\angle A B C=\angle E D C$

By CPCTC proved in equation (5) $\angle ABC=\angle DEC$ .

Therefore $\angle A B C\neq \angle E D C$ . Option D is false.

Hence Option B is the correct answer.

$\Rightarrow\overline{A B}=\overline{D E}$

5 0

3 years ago

Using the 3 functions below, make the desired transformation(s) to the correct function and describe the transformation(s). Writ

Eduardwww [97]

Answer:

The transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$ .

Step-by-step explanation:

Let $g(x) = -12\cdot x - 3$ . We proceed to make the required transformations on $g(x)$ , which consists in one vertical translation, 3 units in the -y direction. That is to say: