Answer:
x = 35 , y = 72.5
Step-by-step explanation:
(a)
x and 35° are vertical angles and are congruent, then
x = 35
(b)
y. y and 35 lie on a straight line and sum to 180°, that is
y + y + 35 = 180
2y + 35 = 180 ( subtract 35 from both sides )
2y = 145 ( divide both sides by 2 )
y = 72.5
14 and 11
let x be the second number then the first number = x + 3 ( 3 more than second)
Also 3(x + 3) = 5x - 13
3x + 9 = 5x - 13
subtract 3x from both sides
9 = 5x - 3x - 13
9 = 2x - 13
add 13 to both sides
22 = 2x
divide both sides by 2
11 = x → second number
first number = x + 3 = 11 + 3 = 14
<u>Answer:</u>
<h2>1. a</h2><h2>2. b</h2><h2>3. b</h2><h2>4. b</h2><h2>5. 22</h2>
<u>Explanation:</u>
1.
n²-49=0
n=√49
n=7
2.
x²+64=0
x=√64
x=8
3.
if A=144x²
l = √A
l = √(144x²)
l = 12x
4.
b = (24×2)/3b
b = 48/3b
b = 16/b
b² = 16
b = √16
b = 4 in <em>(-4 is correct in algebra but there's no negative lengths in geometric shapes)</em>
5.
x²+z = 103
x² = 103-z
x = √(103-z)
for x = -9 and 9 (103-z) must equal 81
z = 103 - 81 = 22
x = √(103-22)
x = √81
x = -9 , 9
Answer:
1
Step-by-step explanation:
We pick two points on the line and use the slope formula
Two points ( 0,2) and ( 1,3)
m = ( y2-y1) / ( x2-x1)
= ( 3-2) /( 1-0)
= 1 /1
= 1
Answer:
$5.13
Step-by-step explanation:
So, <em>s</em> = $5.00.
OG Price * 1.0<em>a</em> = Total (that is the expression)
5.00 * 1.0250) = 5.125* = $5.13
<em>a</em> is the percentage of markup with no decimal!
) = I don't think you need the 0, but just in case!
* (at end)= round!
