Answer:
∠1 = 43
∠2 = 17
∠3 = 120
∠4 = 60
∠5 = 60
∠6 = 60
∠7 = 17
∠8 = 120
∠9 = 43
Step-by-step explanation:
11) ΔABC is isosceles triangle. In isosceles triangle two sides are equal and angles opposite to two sides are equal {Isosceles triangle property}
∠C = ∠A
9x - 47 = 4x + 3
9x - 4x - 47 = 3
5x - 47 = 3
5x = 3 + 47
5x = 50
x = 50/5
x = 10
∠1 = 4x +3 = 4*10 + 3 = 40 + 3
∠1 = 43
∠9 = 43
ΔDBE is equilateral. So all angles are equal in equilateral.
Each angel in equilateral triangle = 180÷ 3 = 60
∠4 = ∠5 = ∠6 = 60
∠3 + ∠4 = 180 {linear pair}
∠3 + 60 = 180
∠3 = 180 - 60
∠3 = 120
∠6 + ∠8 = 180 {linear pair}
60 + ∠8 = 180
∠8 = 180 - 60
∠8 = 120
In ΔABD,
∠1 + ∠2 + ∠3 = 180 {angle sum property of triangle}
43 + ∠2 + 120 = 180
∠2 + 163 = 180
∠2 = 180 - 163
∠2 = 17
In ΔBEC,
∠7 +∠8 +∠9 = 180 {angle sum property of triangle}
∠7 + 120 + 43 = 180
∠7 + 163 = 180
∠7 = 180 - 163
∠7 = 17
Answer: x=1+√47 or x=1−√47 (Assuming that the "2x2" is 2x^2)
Step-by-step explanation:
Step 1: Subtract x^2+5x+39 from both sides.
2x2+3x−7−(x2+5x+39)=x2+5x+39−(x2+5x+39)
x2−2x−46=0
For this equation: a=1, b=-2, c=-46
1x2+−2x+−46=0
Step 2: Use quadratic formula with a=1, b=-2, c=-46.
x=1+√47 or x=1−√47
<span>Sphere Surface Area = <span> 4 • <span>π • r²</span></span></span><span>
radius = 16mm
</span><span>Sphere Surface Area = <span> 4 • <span>π <span>• 16²
Sphere Surface Area = </span></span></span></span><span>4 • <span>π <span>• 256
</span></span></span>Sphere Surface Area = 1,024 <span><span>• <span>π
Answer is B
</span></span>
</span>
<h3>2.5 tea spoon of medicine needed for 175 pound person</h3>
<em><u>Solution:</u></em>
Given that,
A medicine is prescribed at 1/2 teaspoon for every 35 pounds of body weight
Therefore,

We have to find the medicine needed for a 175 pounds person
Let "x" be the teaspoon needed for 175 pound person
Therefore,

This forms a proportion and solve by cross multiplying

Thus, 2.5 tea spoon of medicine needed for 175 pound person
Answer:
findth(2.718282)volum(2.718282)ifth(2.718282)diam(2.718282)t(2.718282)ris(12)(7.5)
=13357.184319ad2f2h2i4lm2norst3uv
Step-by-step explanation: