Please show work!!!!!!!

Johnny left home and drove west 6 miles to Bakersville for flowers. Then he drove 8 miles north to his girlfriend's house. How f

QveST [7]

So use pythagorean theorem to find the straight distance between hhouses

legs are 6 and 8

a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
squrer root both sides
10=c

the distance=10 miles

6 0

2 years ago

How do I find the measure of the interior angle?

nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

$n=5\ sides$

substitute

$S=(5-2)180^o=540^o$

step 2

Find the value of x

we know that

$-3x+125+(45-x)+(-x+90)+80=540$

solve for x

$-5x+340=540$

$-5x=200\\x=-40$

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

$-3(-40)=120^o$

Angle B

$80^o$

Angle C

$-(-40)+90=130^o$

Angle D

$45-(-40)=85^o$

Angle E

$125^o$

3 0

2 years ago

Find the error american car produce 5,650,000 cars each year.In a report,ben wrote that americans made 6,550,000 cars.What mista

Oksanka [162]

Answer:

The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.

He can fix it by correcting the wrong numbers.

Step-by-step explanation:

American car produce 5,650,000 cars each year.

When writing a report Ben wrote down that americans produce 6,550,000 cars every year

Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.

Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.

Hence, doing this will give him the correct number of cars which is 5,650,000 cars.

8 0

3 years ago

What is the next term in the arithmetic sequence? 9,17,25,33,...

lions [1.4K]

Answer:

41

Explanation:

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

9, 17, 25, 33,...

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

9 - first term

17 - second term

17 - 9 = 8

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

9, 17, 25, 33,...

9 + 8 = 17

17 + 8 = 25

25 + 8 = 33

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

9, 17, 25, 33,...

33 + 8 = 41

9, 17, 25, 33, 41,...

Therefore, the next term in the arithmetic sequence is 41.

3 0

2 years ago

You need to rent a bowling lane. On Friday nights, you have two options. Option A is a $20 lane rental plus $3 per game. Option

ExtremeBDS [4]

For 5 games, the cost will be equal for each option.

Step-by-step explanation:

Given,

Lane rental of offer A = $20

Per game charges = $3

Let,

x be the number of games.

A(x) = 3x + 20

Lane rental is $35 for maximum 10 games.

B(x) = 35

For the cost to be same;

A(x) = B(x)

$3x+20=35\\3x=35-20\\3x=15$

Dividing both sides by 3

$\frac{3x}{3}=\frac{15}{3}\\x=5$

For 5 games, the cost will be equal for each option.

Keywords: function, division

Learn more about functions at:

#LearnwithBrainly

6 0

2 years ago