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2 years ago

What is the value of x

Mathematics

2 answers:

taurus [48]2 years ago

6 0

110

$180 - 70 = 110$

marissa [1.9K]2 years ago

3 0

60+70=130
180-130=50
X = 50 degrees because the value of x is equal to angle QRP (transitive property)

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.

Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is $a_5=\frac{1}{4}$

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

$=\frac{-16}{64}$

$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

$r=-\frac{1}{4}$

Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is $a_n=a_1r^{n-1}$

Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

8 0

2 years ago

The first term of a geometric sequence is 7, and the ratio (multiplier) is 3. what is the sum of the first 5 terms of the sequen

Anni [7]

Hello,

1)
$a_{1}=7$
$a_{2}=7*3$
$a_{3}=7*3^2$

$a_{n}=7*3^{n-1}$

$s=a_{1}+a_{2}+a_{3}+a_{4}+a_{5}=7*(1+3^1+3^2+3^3+3^4)$
$=7*\frac{3^{5}-1}{3-1}$
$=7*242/2=847$

2)
$b_{8}=6*8^{8-1}=12582912$

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3 years ago

A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ... , 9. The circle is then spun and the nu

8_murik_8 [283]

There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is $\frac{3}{8}$

7 0

3 years ago

Read 2 more answers

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q

Sedbober [7]

Answer:

$(q+\frac{11}{2})^2-\frac{121}{4}$

Step-by-step explanation:

We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.