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NemiM [27]
3 years ago
9

Can you please help with adjacent angles?

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0
Adjacent angles are angles that have a common side and a common vertex. The only one that fits this would be <FEC and <FEH because it shares the side of FE and common vertex of E. I hope this helps you. :)
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1. A supermarket display consists of boxes of soda. The bottom row has 38 boxes. Each row has four fewer boxes than the row belo
Andreas93 [3]

Answer:

10 boxes in the top row.

192 boxes in entire display.

Step-by-step explanation:

Let n be the number of rows.

Given:

Total number of rows = 8

Boxes in bottom row = 38

And each row has four fewer boxes than the row below it.

Solution:

Part A:

We know that the bottom row has 38 boxes and each row has four fewer boxes than the row below it.

Using below function for determining the number of boxes in each rows.

f(n)=38-(8-n)4

Where:

n = Number of row.

We need to find the boxes in the first row.

So, substitute n = 1 in above function.

f(1)=38-(8-1)4

f(1)=38-7\times 4

f(1)=38-28

f(1)=10

Therefore, 10 boxes in the top row.

Part B:

Total boxes in the entire display.

Using formula as given below to determine the sum of the boxes in entire display.

S_{n} = \frac{n}{2}(f(1)+f(n))

Substitute n = 8, f(1) = 10 and f(8) = 38 in the above equation.

S_{8} = \frac{8}{2}(10+38)

S_{8} = 4(48)

S_{8} = 4\times 48

S_{8} = 192\ boxes

Therefore, 192 boxes in the entire display.

5 0
3 years ago
A man tied a rope to the top of a tree, which is 'x' m tall. The other end of the rope was tied to
Monica [59]

Answer:

(x+16)^2=20^2+x^2

Step-by-step explanation:

Given there was no bending of the tree, the Pitagorean Theory would help finding the value of the trees hight.

x^2+32x+16^2=400+x^2

32x=(20-16)×(20+16)

x=144/32

x=4m and 50cm

4 0
3 years ago
Read 2 more answers
Zachary is making dumplings. If he uses cup of dough for each dumpling, how
LekaFEV [45]

Answer:

11 cups of dough

Step-by-step explanation:

1 cup x 11 dumplings = 11 cups of dough needed

6 0
3 years ago
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What is 7 1/2 divided 3/4
frosja888 [35]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
If you earned 892.50 after depositing 1400 at 4.25% simple interest, how long was it invested ? Using the simple interest formul
DanielleElmas [232]

Answer:

Time t = 15 years

Step-by-step explanation:

Interest = 892.50

Principal = 1400

Rate = 4.25%

Time = unknown

But

interest I = Principal p * rate r * time t

Time t = interest I/(principal P * rate r)

Time t=( 892.50*100)/(1400*4.25)

Time t=89250/5950

Time t = 15 years

4 0
3 years ago
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