Answer:
<h2>x = 29°</h2>
Step-by-step explanation:
From the question the angles lie on a straight line which means that the sum of their angles add up to 180°
Since angles on a straight line add up to 180°
To find the value of x add up all the angles and equate it to 180 to find x
That's
x + 4 + 147 = 180
x + 151 = 180
x = 180 - 151
We have the final answer as
<h3>x = 29°</h3>
Hope this helps you
Log b 18 = logb 2 * 3 * 3
When multiplying logs, they are added together so:
logb 2 * 3 * 3 = logb 2 + logb 3 + logb 3
Logb 2 is given as 0.4307 and logb 3 is 0.6826
Now we have 0.4307 + 0.6826 + 0.6826 = 1.7959
Logb 18 = 1.7959
Let the number of cards equal x.
Set up an equation for both companies, set equal to each other and solve for x.
0.10x + 12 = 0.12x + 10
Subtractb0.10x from both sides:
12 = 0.02x + 10
Subtract 10 from both sides:
2 = 0.02x
Divide both sides by 0.02:
X = 2/0.02
X = 100
100 cards would be the same price for both companies.
9514 1404 393
Answer:
24.1 units
Step-by-step explanation:
This is done using the Pythagorean theorem (or distance formula) to find the lengths of the sides.
For each side of the figure (except the bottom horizontal), you need to identify the dimensions of the right triangle whose hypotenuse is the side of interest. For example, LM is the hypotenuse of a triangle 4 units high and 1 unit wide. The Pythagorean theorem tells you LM has a length of ...
LM = √(4^2 +1^2) = √17 ≈ 4.12
Similarly ...
KL = √(2^2 +2^2) = √8 ≈ 2.83
JK = √(1^2 +6^2) = √37 ≈ 6.08
NJ = √(5^2 +1^2) = √26 ≈ 5.10
Of course, the length of MN is found by finding the difference of the x-coordinates:
MN = 3 -(-3) = 6
Then the perimeter is the sum of side lengths:
4.12 +2.83 +6.08 +5.10 +6.00 = 23.17 ≈ 24.1 . . . units
Answer:
8
Step-by-step explanation:
3(4)+(5)(4)-2(12)
then solve
12+20-24=8
