Answer:
PQ= <em><u>1</u></em><em><u>0</u></em>
Step-by-step explanation:
To find intersection of the line ,put y=0 in the equation,cuz points on x axis have ordinate equals to '0'
you have, y=2x+8 ; put y =0,to find it's intersection to x-axis
i.e, 0=2x+8
i.e, 2x= -8
i.e, x= -8/2
i.e, x= -4
Point P is (-4,0)
again, you have y=2x-12, put y=0
i.e,0= 2x-12
i.e, 2x=12
i.e, x=6
Point Q is (6,0)
now distance PQ is
√(6-(-4))^2 +(0-0)^2
i.e, √(10)^2
i.e, 10
distance btwn PQ is 10 unit!
✌️:)
Answer:
150 minutes (2.5 hours)
Step-by-step explanation:
We must consider that the total time that the radio program lasted represents the 100%.
Of that 100% we are told that 20% is dedicated to commercials. So the 30 minutes of commercials correspond to 20% of the air time, which can be represented in the following table:
Percentage of time time
20% ⇒ 30min
and we are looking for how long the show was on the air (the 100%).
So updating the table( I will call x the total time on the air):
Percentage of time time
20% ⇒ 30min
100% ⇒ x
This reationship between three values can be solve by the<u> rule of three</u>: multiply the cross quantities on the table (100 by 30) and divide by the remaining amount (20):
x = 100*30 / 20
x= 3000 / 20
x = 150 minutes
The radio show was 150 minutes (2.5 hours) long.
Answer:
The measures of each would be:
105° and 75°
Step-by-step explanation:
Supplementary angles are two angles whose measures sum up to 180° or they form a straight line.
So if an angle measures 30° less than the measure of its supplementary, it wold mean that both angles together is equal to 180°.
∠1 = x
∠2 = x-30°
∠1 + ∠2 = 180°
So here we plug in our equations:
∠1 + ∠2 = 180°
x + x - 30° = 180°
2x - 30° = 180°
We solve for the x then:
Add 30° on both sides of the equation:
2x - 30° + 30° = 180° + 30°
2x = 210°
Divide both sides by 2:
2x/2 = 210°/2
x = 105°
∠1 = 105°
Now we solve for the second angle:
∠1 + ∠2 = 180°
105° + ∠2 = 180°
Subtract 105° from both sides of the equation:
105° + ∠2 - 105° = 180° - 105°
∠2 = 75°
Answer:
It is 12
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
The radius is the line from the center of the circle to the edge. We can assume the black line on the orange is the radius.
We want to find the diameter. The diameter is twice the radius, or
d=2r
We know the radius is 2, so we can substitute that in for r
d=2*2
Multiply
d=4
So, the diameter is 4 inches