Answer:
b= -8
Step-by-step explanation:
we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4
=> 2y=4x + b
<=> 2(2x-4) = 4x +b
<=> 4x - 8= 4x +b
<=> b = -8
We know: The sum of the measures of the angles of a triangle is equal 180°.
We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.
The equation:
65 + (3x - 10) + 2x = 180
(3x + 2x) + (65 - 10) = 180
5x + 55 = 180 <em>subtract 55 from both sides</em>
5x = 125 <em>divide both sides by 5</em>
x = 25
m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°
m∠C = (2x)° → m∠C = (2 · 25)° = 50°
<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>
Answer:
<h3>x = 5</h3>
Step-by-step explanation:
f(x) = 2(x + 6)
f(x) = 22
thereofre we have the equation:
2(x + 6) = 22 <em>use distributive property</em>
2x + 12 = 22 <em>subtract 12 from both sides</em>
2x = 10 <em>divide both sides by 2</em>
x = 5
The answer is 46°.
The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc.
That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.
Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.
Therefore it's 46.
The answer to this question comes out to be 0.8 kilometers
I kilometer is equal to 1,000 meters, so in order to get your answer, you divide 800 by 1,000.
