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balandron [24]
2 years ago
10

3) If the population of the United States increased to 420 million and the number of

Mathematics
2 answers:
shutvik [7]2 years ago
7 0

Answer:

About 965517 Americans.

kompoz [17]2 years ago
5 0

Answer:

About 96,5517 people / representative

Step-by-step explanation:

420,000,000 / 435 = 96,5517.24 people per representative

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Simita has 25 coins, consisting of 10c and 5c, which total $2.25. how many of each does she have?​
Ilya [14]

Answer:

10c = 20

5c = 5

Step-by-step explanation:

Let x be the number of 10c coins; let y be the number of 5c coins. The total is $2.25, so the amount of 10c and 5c coins will add to that. Simita has 25 coins, so x and y, the number of coins, will have to add to 25. Hence, solve the simultaneous equation.

10x + 5y = 225 (1) - times by 0

x + y = 25 (2) - times by 5

10x + 5y = 225 (1)

5x + 5y = 125 (2)

Then, take equation 2 away from equation 1.

5x = 100

x = 20

Substitute x back into the original equation.

x + y = 25

20 + y = 25

y = 5

7 0
3 years ago
Help please <br> 5x-2y=-10
Lena [83]

Answer:

5x - 2y =  - 10 \\ 5x =  - 10 + 2y  \\  x =  \frac{ - 10 + 2y}{5}  \\  \\

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

6 0
2 years ago
Find the value of b.
Nesterboy [21]

Answer: 230^{\circ

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume \overline{AB} and \overline{BC} are tangents to the circle.

  1. \overline{BO} \cong \overline{BO} (reflexive property)
  2. \overline{AB} \cong \overline{BC} (tangents drawn from a common external point are congruent)
  3. \angle BAO \cong \angle BCO (right angles are congruent)

Therefore, we know \triangle ABO \cong \triangle CBO by HL.

Thus, by CPCTC,

\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}

This means the measure of minor arc AC is 130^{\circ}, and thus b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}

7 0
1 year ago
Line DA is tangent to circle B. What is the measure of angle ACB?
alexdok [17]

A tangent line creates a 90 degree angle with a radius line that touches the tangent Line.

Line BC is a radius that touches the tangent line at point C

The angle created is 90 degrees.

The answer is C. 90 degrees.

6 0
3 years ago
Read 2 more answers
Question five for geometry quiz
Helga [31]

The two tangents are parallel to each other because the two lines perpendicular to the same line are parallel to each other.

Lk + JK = JL




The answer is Parallel to each other
3 0
3 years ago
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