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Volgvan
4 years ago
10

99 POINTS! HELP

Mathematics
2 answers:
Neporo4naja [7]4 years ago
8 0
<span>∠ABC ≅ ∠DEF              - given
</span><span>∠GHI ≅ ∠DEF               - given
</span>∠DEF ≅ ∠GHI               - <span>symmetric property
</span>∠ABC ≅<span> ∠GHI               - </span><span>transitive property 
</span><span>m∠ABC = m∠GHI          - </span><span>definition of ≅ angles</span>
Vikki [24]4 years ago
3 0

Answer:

∠ABC ≅ ∠DEF- given

∠GHI ≅ ∠DEF- given

∠DEF ≅ ∠GHI- symmetric property

∠ABC ≅ ∠GHI- transitive property

m∠ABC = m∠GHI- definition of ≅ angles

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What is the quotient of 40,122 divided 27
Luden [163]

Answer:

1486

Step-by-step explanation:

What is the quotient, if 40,122 is divided by 27?

   40,122

 -------------- = 1486

        27

7 0
3 years ago
What is equivalent to 2/4
padilas [110]
1/2, 4/8, etc. Because they all equal to one half. <span />
8 0
4 years ago
Read 2 more answers
A family plans to have the hardwood floors in their square dining room re-finished, and new baseboards installed. The cost of re
Alexus [3.1K]

Answer:

Dimension of room = 18 foot x 18 foot

Step-by-step explanation:

Let the square room is of side a foot,

The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot

Total cost is  $1773.

Cost for re-finishing the hardwood floors = Area x 2.25

Area = a²

Cost for re-finishing the hardwood floors = 2.25 a²

Cost of purchasing and installing the new baseboards = Perimeter x 14.5

Perimeter = 4a

Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a

Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards

1773 = 2.25 a² + 58a

2.25 a² + 58a - 1773 = 0

a = 18 or a = -43.77(not possible)

Dimension of room = 18 foot x 18 foot

7 0
4 years ago
Help please!!! Find the sum of the series show your work
AleksAgata [21]

Answer:

\sum_{i=1}^{12}(3i-1) = 222

Step-by-step explanation:

The given series is

\sum_{i=1}^{12}(3i-1)

The first term is

f(1) = 3 \times 1 - 1 = 2

The last term is

f(12) = 3 \times 12 - 1 = 35

To find the number of terms in the sequence, solve,

3i - 1 = 35

3i = 36 \\ i = 12

The sum of the first i-terms of an arithmetic sequence is:

S_i =  \frac{i}{2} (f(1) + f(2))

We substitute the values to get;

S_ {12}=  \frac{12}{2} (2+ 35)

S_ {12}=6(37)

S_ {12}= 222

6 0
4 years ago
A circular garden is surrounded by a rectangular grassy area. The garden takes up nearly half the grassy area. The base of the g
d1i1m1o1n [39]

Answer:

The area of the circular garden is approximately 7.1 square yards

Step-by-step explanation:

The given parameters are;

The area surrounding the circular garden = A rectangular grassy area

The area of the circular garden ≈ (1/2) × The base of the grassy rectangular area

The dimensions of the base of the rectangular grassy area = 6 yards by 3 yards

The diameter of the circle, D = 3 yards

The area of the rectangular grassy area = 6 yards × 3 yards = 18 yards²

∴ The approximate area of the circular garden = (1/2) × 18 yards² = 9 yards²

The area of the circular garden, A = π·D²/4

∴ A = 3.14 × (3 yards)²/4 = 7.065

The area of the circular garden, A ≈ 7.1 yd².

5 0
3 years ago
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