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3 years ago

Describe the term linear pair, and give an example from the diagram.

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer/Step-by-step explanation:

A linear pair is formed when two straight lines intersect to form two angles that are adjacent to each other and are on a straight line. The sum of both adjacent angles equals 180°.

From the diagram given, examples of linear pair are:

<FEG and <GEN

<CDE and <ADC

These are some of the few examples we can see in the given diagram that are linear pairs.

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One number is 4 times number another. Their sum is 35. Find the number

jonny [76]

Answer:

Step-by-step explanation:

n+4n=35

5n=35

5n/5=35/5

n=7

3 0

3 years ago

6.3 x 10'-8 in standard notation

iris [78.8K]

6.3 x 10'-8
63 - 8
55

55 is the answer

5 0

3 years ago

The diagram shows a square pizza box with side lengths of 18 inches. In the box is a circular pizza with a radius of 8 inches. W

kotegsom [21]

There is a difference of 123 square inches between the pizza box and the pizza.

18x18=324
pi8^2=201.0619

324-201=123

5 0

2 years ago

Write the first five terms of the sequence defined by the explicit formula

denis-greek [22]

<u>Answer:</u>

The correct answer option is: 19, 13, 3, -11, -29.

<u>Step-by-step explanation:</u>

We are given the following explicit formula for an arithmetic sequence:

$a_n=21-2n^2$

So to find the first five terms of this sequence, we will substitute the values of $n$ (num here in the given formula:

$a_1=21-2(1)^2\\\\a_1=19$

$a_2=21-2(2)^2\\\\a_2=13$

$a_3=21-2(3)^2\\\\a_3=3$

$a_4=21-2(4)^2\\\\a_4=-11$

$a_5=21-2(5)^2\\\\a_5=-29$

Therefore, the first five terms of the sequence defined by the explicit formula $a_n=21-2n^2$ are 19, 13, 3, -11, -29.

5 0

3 years ago

Read 2 more answers

The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the sur

S_A_V [24]

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

$\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}$

$\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm$

Now,

$\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}$

Hence, surface area of pyramid = 4406832 square cm.

5 0

2 years ago