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2 years ago

I need to find the value of x help needed

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

6 0

Answer:

x=33°

Step-by-step explanation:

Hi there!

We're given a triangle, with 2 known measures of angles in the triangle

54° and 93°

the other (unknown) value is x

the angles in a triangle add up to 180°

therefore, to find the value of x, we can add up the values of the 3 angles and set that to equal 180

54°+93°+x°=180°

add 54 and 93

147°+x°=180°

subtract 147 from both sides

x=33°

so the value of x is 33 degrees

Hope this helps!

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given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculat

Alekssandra [29.7K]

a_3 is 45 and a_10 is 98415

Step-by-step explanation:

Given

a_1 = 5

a_2 = 15

First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.

So,

$r=\frac{a_2}{a_1} = \frac{15}{5} = 3$

The explicit formula for geometric sequence is:

$a_n = a_1.r^{n-1}$

Putting the value of r and a_1

$a_n = 5.(3)^{n-1}$

Putting n=3 in the explicit formula

$a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45$

Putting n=10 for tenth term

$a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415$

Hence,

a_3 is 45 and a_10 is 98415

Keywords: Geometric sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

Solve the inequality<br> Z-2>2<br> Z > 2?

Troyanec [42]

Answer:

Z> 4

So Z> 2 is true

Step-by-step explanation:

Given that:

Z-2>2

Adding 2 on both sides

Z-2 + 2 >2 + 2

Z > 4

hence the equation Z > 2 is true

i hope it will help you!

5 0

2 years ago

Greatest common factor 10b^2 and 4a^3

Reil [10]

The answer will be 2. the gcf of the equation is 2 because 2 goes into 10 by 5 and into 4 by 2 leaving you with 2(5b^2+2a^3).

5 0

3 years ago

Read 2 more answers

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.