All angles on a triangle add up to 180. If it's a right triangle it would be set up like this: 90+3x-4=6x-5=180. You would subtract 90 from 180 and get 90 left. 3x-4+6x-5=90. Then you would add 5 and 4 to 90.....3x+6x=99. Then you add 3x and 6x then you would be left with 9x=99. Divide 99 by 9 and you get x=11.
3x + 2x = 180
5x = 180
180 divided by 5 = 36
X = 36 degrees
Answer:
6 weeks
Step-by-step explanation:
So the amount b we will have in our account w weeks from now is given by the equation:

To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:

Subtract 85 from both sides:

Add within the parentheses:

Divide both sides by 22:

In other words, we will have $210 after approximately 6 weeks.
Answer:
m∠4 = 40°
Step-by-step explanation:
Using the vertical angle theorem we can find that...
m∠6 ≅ m∠7


Using this, we know that angle 6 and 8 are supplementary so...
m∠6 + m∠8 = 180°
140° + m∠8 = 180°
m∠8 = 40°
Then, we can use the corresponding angle theorem to find that...
m∠8 ≅ m∠4
m∠4 = 40°
Answer:
38.24
Step-by-step explanation:
is the principal amount, $478.00.
r is the interest rate, 8% per year, (decimal form 0.08)
t is the time involved, 1....year
To find the simple interest, we multiply
478 × 0.08 × 1
I=P×r×t