Answer:
∡ABC=55°
Step-by-step explanation:
<u>Step 1: Identify all angles</u>
∠A=(x+45)°
∠B=(6x+5)°
∠C=(3x)°
∠ABC=(180-∠B)°=(180-(6x+5))°
<u>Step 2: Use the Triangle Angle Sum Theorem</u>
∠A+∠ABC+∠C=180°
(x+45)+(180-(6x+5))+(3x)=180
x+45+180-6x-5+3x=180
-2x+45+180-5=180
-2x+45-5=0
-2x+40=0
-2x=-40
x=20
<u>Step 3: Plug in x=20 for ∠ABC</u>
∠ABC=(180-(6x+5))°
(180-6(20)-5)°
(180-120-5)°
(60-5)°
55°
So ∡ABC=55°
Answer:
7x - 12 = 3x - 2
Step-by-step explanation:
<h3>
Answer: C = 1.06P</h3>
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Explanation:
The sales tax is 6% of the price P
6% of P = 0.06P
Add on the original cost P to get P+0.06P = (1+0.06)P = 1.06P
The 1.06 indicates the final after tax cost is 106% of the original price.
You can think of it like 100% + 6% = 106% = 1.06
So that's how we end up with C = 1.06P
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An example using actual numbers:
Let P = $100 be the initial cost before tax
6% of P = 0.06*P = 0.06*100 = 6 dollars is the tax
100+6 = 106 is the final cost
Note how C = 1.06P = 1.06*100 = 106
Answer:
I would say that it's a 1/4 chance.
Step-by-step explanation:
So...
I added the numbers
And got that
I'm sorry if it didn't help
Six times a number plus five is equal to seventeen.
Five added to the product of six and a number is seventeen.
