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11111nata11111 [884]
2 years ago
13

Find the value of P.

Mathematics
1 answer:
Ludmilka [50]2 years ago
3 0

Answer:

p = 10

Step-by-step explanation:

The dashes on the lines show they are equal in length.

Therefore ΔRUL ≅ ΔAUL

and m∠RLU = m∠AUL

⇒ 5p - 8 = 2p + 22

⇒ 3p - 8 = 22

⇒ 3p = 30

⇒ p = 30÷ 3

⇒ p = 10

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Two airplanes, which start 3{,}3003,3003, comma, 300 miles apart, fly toward each other. The two planes fly at a constant speed,
castortr0y [4]

Answer:

distance=rate*time

2520=(r)(3)+(r+90)(3)    (they both travel for 3 hours)

2520=3r+3r+270

2520-270=6r

2250=6r

r=2250/6

r=375 mph

r+90=375+90=465 mph

Step-by-step explanation:

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2 years ago
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20 cats * ( 1 bag of food / 5 cats per month ) = 4 bags of food per month to feed all 20 cats

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Write the set of real numbers from - 10 through 10 in interval notation.
Klio2033 [76]

Answer:

1) (-10,10) - Greater than -10 and less than 10.

2) [-10, 10] - Greater than or equal to -10 and less than or equal to 10.

3) [-10, 10) - Greater than or equal to -10 and less than 10.

4) (-10, 10] Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) (-10,10) - Greater than -10 and less than 10.

2) [-10, 10] - Greater than or equal to -10 and less than or equal to 10.

3) [-10, 10) - Greater than or equal to -10 and less than 10.

4) (-10, 10] Greater than -10 and less than or equal to 10.

8 0
3 years ago
A composition of transformations maps pre-image EFGH to final image E"F"G"H".
lubasha [3.4K]

Answer:

a translation down and left :)

Step-by-step explanation:

8 0
2 years ago
An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-
Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units

Optimal rent - 838 slips of Gold-Pressed latinum

8 0
3 years ago
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