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Softa [21]
3 years ago
7

ΔABC ​~ ΔDEC. ∠1 and ∠2 have the same measure. Find DC and DE.​ (Hint: Let DC=x and AC=x+3. Use the figure shown.)

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0
DC/AC=EC/BC
x/(x+3)=10/16
10(x+3)=16x
10x+30=16x
30=6x
x=5
DC=x=5
DC=5 units long

10/16=DE/AB,     DE=y

10/16=y/10
16*y=10*10
y=6.25≈6.3
DE≈6.3

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Answer:

No

Step-by-step explanation:

the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².

This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.

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lisov135 [29]

Answer:

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4 0
3 years ago
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t
gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

C = 9 + P

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Pies sold = 14

Total = \$402

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

8C + 14P = 402

Substitute 9 + P for C

8(9+P) + 14P = 402

Open the bracket

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Collect Like Terms

8P + 14P = 402 - 72

22P= 330

Divide both sides by 22

P = \frac{330}{22}

P = 15

Recall that

C = 9 + P

C = 9 + 15

C = 24

<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>

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