Answer: PN= 20 in.
Step-by-step explanation:
Given: In triangles PMN and QSR :
Length of P N ≅ Length of RQ (1) [ '≅' → Sign of congruence]
Length of QS ≅ Length of PM
Length of MN ≅ Length of RS
By SSS congruence rule
ΔPMN ≅ ΔQSR
Since Length of QR =20 in. [Given]
From (1)
Length of PN= 20 in. [Congruent means exactly equal]
<em>x</em> = liters of 1% solution
<em>y</em> = liters of 5% solution
<em />
<em>x</em> + <em>y</em> = 16
0.01<em>x</em> + 0.05<em>y</em> = 0.04*16 = 0.64
<em />
<em>y</em> = 16 - <em>x</em>
<em />
0.01<em>x</em> + 0.05(16 - <em>x</em>) = 0.64
0.01<em>x</em> + 0.8 - 0.05<em>x</em> = 0.64
0.16 = 0.04<em>x</em>
<em>x</em> = 4
<em>y</em> = 12
Answer:
430.5
Step-by-step explanation:
1. We assume, that the number 525 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 525 is 100%, so we can write it down as 525=100%.
4. We know, that x is 82% of the output value, so we can write it down as x=82%.
5. Now we have two simple equations:
1) 525=100%
2) x=82%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
525/x=100%/82%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 82% of 525
525/x=100/82
(525/x)*x=(100/82)*x - we multiply both sides of the equation by x
525=1.219512195122*x - we divide both sides of the equation by (1.219512195122) to get x
525/1.219512195122=x
430.5=x
x=430.5
now we have:
82% of 525=430.5
EF is tangent to the circle we'll assume; otherwise there's no progress.
Call the center C. ECD is isosceles, formed from two radii and the chord.
Angle CED is complementary to DEF
CED = 90 - 65 = 25 degrees
CDE is congruent, isosceles triangle and all that: CDE=25
That leaves DCE=180-25-25=130 degrees
That's the measure of arc DE as well:
Answer: 130 degrees, choice A
Answer:820
Step-by-step explanation:
4 1 • 4 b = ?
b = 5
Put value of b
= 41 x 4 (5)
= 41 x 20
= 820
