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°
Answer:
<h2>-1 2/3</h2>
Step-by-step explanation:
x-6=-4x-11
+x +x
-6=-3x-11
+11 +11
5=-3x
________
-3 -3
x=-1.66 or about -1 2/3
<em>PLEASE MARK BRAINLIEST</em>
That's harder than it looks like...
Answer:
The total fluid you have to drink is 10 7/10 = 10.7 cups.
Step-by-step explanation:
The daily requirement of water = 8 2/4 cups
Now, 
or, the daily water requirement = 8.5 cups
The daily requirement of milk = 2 1/5 cups
Now, 
or, the daily milk requirement = 2.2 cups
So, The total fluid needed = Cups of (Water + Milk) needed
= 8.5 cups + 2.2 cups
= 10.7 cups
Also, 
Hence, the total fluid you have to drink is 10 7/10 cups.
Answer:
183 miles to the nearest mile.
Step-by-step explanation:
Distance =Speed X Time
Distance of Truck B from point A=45 X2 =90 miles
Distance of Truck C from point A=55 X2 =110 miles
Angles between them, BAC=132°
We want to find the Distance BC denoted by a between the trucks.
Using Cosine Rule,
a²=b²+c²-2bcCos A
=90²+110²-(2X90X110XCos132°)
=33448.79
a=√33448.79
BC=182.89 miles
The distance between the trucks is 183 miles to the nearest mile.