Answer:
x = 85
Step-by-step explanation:
To solve, first find the angle of the other missing angle in the left by subtracting the outside angle from 180:
180 - 155 = 35
Then add this and the known angle:
35 + 60 = 95
Then subtract this from 180 to get the missing angle for x:
180 - 95 = 85
Absolute value of any number is always positive because it represent distance and distance will always positive.
To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.
Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40
Since, minimum height is 30 feet.
So , substitute f(x)=30 in above expression.
30=−4/3|x−10| + 40
4/3|x−10| = 10
|x−10|=30/4
|x−10| = 7.5
Taking positive case,
x−10 = 7.5
x = 17.5 feet
Taking negative case,
x−10 = - 7.5
x = 10 - 7.5
x = 2.5 feet
Learn more:
brainly.com/question/14473339
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is
where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?

2. a=5, b=?, c=13

3. a=7, b=9, c=?

4. a=2, b=?, c=7

Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Price of home = $220,000
Down payment = 20%
3 points at closing
30 years fixed rate mortgage at 7%
A.)The down payment :
20% of price
0.2 × $220,000 = $44,000
B.) Amount of the Mortgage :
Price - down payment
$220,000 - $44,000 = $176,000
C.) Amount to be paid for the 3 point of closing :
3% of mortgage amount
0.03 * $176,000 = $5,280
D.) monthly payment :
(mortgage amount(1 + rate)) / 30* 12
176000(1 + 0.07)
($176,000 + $12320) / 360
$523
E.) Total cost of interest :
0.07 * 176000 = $12,320
Answer:
$16
Step-by-step explanation:
she has $14 now
her parents let her earn 6
so $14 - $6 = $8
so thats what was left over from her allowance. she spent half of her allowance to get to $8 so you double the money
$8 * 2 = $16
$16 is her weekly allowance