What is the sequence in a pattern?

1 answer:

8 0

A sequence is a list of numbers, geometric shapes or other objects, that follow a specific pattern. The individual items in the sequence are called terms , and represented by variables like x n .

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In the accompanying figure, triangle ABC has coordinates A(0,3), B(7,3), C(7,7). What is the area of triangle ABC in square unit

ElenaW [278]

We know area of triangle = $\frac{1}{2} * base * height$

In triangle ABC , AB is the base and BC is the height

Now we find the distance between A and B

Distance formula is $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

A(0,3), B(7,3)

Distance AB = $\sqrt{(7-0)^2 + (3-3)^2}$

= $\sqrt{(7)^2 }$ = 7

B(7,3), C(7,7)

Distance BC = $\sqrt{(7-7)^2 + (7-3)^2}$

= $\sqrt{(4)^2 }$ = 4

area of triangle = $\frac{1}{2} * base * height$

area of triangle = $\frac{1}{2} * AB * BC$

= $\frac{1}{2} * 7 * 4$ = 14 $units ^2$

4 0

3 years ago

Some one help me on this one

aleksandrvk [35]

The answer is III only, or D.

We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D.

5 0

3 years ago

I need help on this

koban [17]

Answer:

TUS

2. 42 + 62= 104

then ,

180-104= 76

4 0

3 years ago

Use distributive property to write the expression withoit parenthesis: 3(7x+4)