Answer:
Step-by-step explanation:
One guest eats 5/6 pounds.
<u>Divide the total amount of chocolate by this to find the number of guests:</u>
- 20 : 5/6 =
- 20 * 6/5 =
- 24 guests
Answer:
The measure of angle DPA is 39°
Step-by-step explanation:
step 1
Find the value of x
we know that
arc AB+arc BC+arc CD+arc DA=360°
substitute the values
(5x+10)°+(x+1)°+3x°+(3x+25)°=360°
Solve for x
(12x+36)°=360°
12x=360°-36°
x=324°/12=27°
step 2
Find the measure of angle DPA
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
m∠DPA=(1/2)[arc DA-arc BC]
arc DA=3(27)+25=106°
arc BC=27+1=28°
substitute the values
m∠DPA=(1/2)[106°-28°]=39°
Hello :
<span> the equation of the circle is (x-a)²+(y-b)² = r²
A(a;b) center r : </span><span>radius
</span>in this exercice : (x+3)²+y²=25
In an axiomatic system, points, lines, and planes belong to the category of undefined terms
Answer:
x = 22
Step-by-step explanation:
B and F are midpoints of the triangle ACE
According to the triangle midpoint theorem, the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
So BF ║ CE and BF = 1/2 CE
Given: BF = 2x and CE = 88
Plug in BF = 1/2 CE
2x = 1/2 (88)
2x = 44
x = 22