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irinina [24]
3 years ago
7

the sum of two consecutive integers is less than 83. find the pair of integers with the greatest sum.

Mathematics
1 answer:
pychu [463]3 years ago
7 0
x-first\ number\\x+1-second\ number\\\\x+x+1=83\\2x=82\\x=41\\x+1=42\\\\42+41=83,\ so\ first\ number\ could\ be\ 40\ and\ second\ 41,\ because\\sum\ must\ be\ less\ than\ 83.

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Is 2y=4x+8 a direct proportion?​
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Answer:
Y=4-2x

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The answer is 4 right??
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1.) A tower casts a shadow that is 60 feet long when the angle
Fynjy0 [20]

Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

\tan \: 65 \degree =  \frac{x}{60}  \\  \\ 2.1445069205 =  \frac{x}{60}  \\  \\ x = 2.1445069205 \times 60 \\ \\  x = 128.670415 \\  \\ x = 128.67 \: ft

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3 years ago
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to
Andru [333]
The area of a full circle is given by
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so the area of a 1/4 circle will be 1/4 of that:
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The area of a parallelogram is the product of base length and height:
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Your composite figure will have an area that is the sum of the areas of the parts.
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7 0
3 years ago
Read 2 more answers
Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

4 0
3 years ago
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