MATHEMATICS HIGH SCHOOL

Can someone plz help me asap!
Can someone plz help me asap! - 1

Answers

Answer 1
Answer:

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:
Answer 2
Answer:

Let the angle adjacent to ∠27° be x .

∠x + 27 = 180° \: ( \: linear \: pair \: )

x = 180 - 27 \n ∠x = 153°

Let the angle opposite to ∠27° be y .

∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )

Let the angle adjacent to ∠y ( 27°) be w .

w + ∠27° = 180° \: ( \: linear \: pair \: ) \n w = 180 - 27 \n ∠w = 153°

Let the angle opposite to ∠35° be p .

∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )

Let the angle adjacent to ∠35° be a .

∠a + 35° =180 ° \: ( linear \: pair ) \n a = 180 - 35 \n ∠a = 145°

Let the angle opposite to ∠35° be t .

∠t = 35° \: ( \: vertically \: opposite \: angles \: )

Let the angle opposite to ∠145° be o .

∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )

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What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?0.1 pounds
0.5 pounds
12.5 pounds
13.5 pounds

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Irina measured the weight of her dog as 13 pounds.

If value is 13 she rounded the values in between 12.5 to 13.49 to 13 pounds.

Maximum possible error = 13 - 12.5 = 0.5 pounds.

Maximum possible error = 0.5 pounds.

Option B is the correct answer.

Which are vertical angels?

Answers

Answer:

Those angles are in opposite either in vertical or horizontal. They are opposite angles

(a + 2b + 3c) − (4a + 6b − 5c) is equivalent to?
Can you please explain with some details?

Answers

The solution of the given expression will be -3a - 4b + 8c.'

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (a + 2b + 3c) − (4a + 6b − 5c). The expression will be solved as below,

E = (a + 2b + 3 c) - (4a + 6b - 5c)

E = a + 2b + 3c - 4a - 6b + 5c =

E = -3a - 4b + 8c

Therefore, the expression will have the solution (a + 2b + 3c) − (4a + 6b − 5c).

To know more about an expression follow

brainly.com/question/73112

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(a + 2b + 3 c) - (4a + 6b - 5c) =

= a + 2b + 3c - 4a - 6b + 5c =

= -3a - 4b + 8c

Pablo and his wife are each starting a saving plan. Pablo will initially set aside $50 and then add $40.75 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50+40.75N, where N is the number of weeks he has been saving. His wife will not set an initial amount aside but will add $60.75 to the savings every week. The amount B (in dollars) saved using this plan is given by the function B=60.75N. Let I be total amount (in dollars) saved using both plans combined. Write an equation relating I to N. Simplify your answer as much as possible.​

Answers

Answer:

The equation relating the total amount saved (I) to the number of weeks (N) for both Pablo and his wife is I = 50 + 101.5N.

Step-by-step explanation:

To find the equation relating the total amount saved (I) to the number of weeks (N) for both Pablo and his wife, we need to add the amounts saved by each person.

For Pablo, the amount saved (A) is given by the function A = 50 + 40.75N, where N is the number of weeks. This means that after 1 week, Pablo will have saved $50 + $40.75, after 2 weeks, he will have saved $50 + 2($40.75), and so on.

For his wife, the amount saved (B) is given by the function B = 60.75N. This means that after 1 week, his wife will have saved $60.75, after 2 weeks, she will have saved 2($60.75), and so on.

To find the total amount saved (I) by both of them combined, we need to add the amounts saved by Pablo and his wife:

I = A + B

Substituting the given functions:

I = (50 + 40.75N) + (60.75N)

Simplifying, we combine like terms:

I = 50 + 40.75N + 60.75N

I = 50 + (40.75 + 60.75)N

I = 50 + 101.5N

So, the equation relating the total amount saved (I) to the number of weeks (N) for both Pablo and his wife is I = 50 + 101.5N.

Through a point not on a line, one and only one line can be drawn parallel to the given line. always sometimes never 10. Two coplanar lines that are perpendicular to the same line are parallel. always sometimes never

Answers

The parallel postulate: In a plane there can be drawn through any point A, lying outside of a straight line a, one and only one straight line which does not intersect the line a. This straight line is called the parallel to a through the given point A.

Therefore, first statement is always true.

Coplanar lines are lines that lie on the same plane.

Theorem: If two coplanar lines are perpendicular to the same  line, then the two lines are parallel to each other.

Therefore, second statement is always true.

Answer:

1st question: always

2nd question: always

Step-by-step explanation:

1st question

Given a line and a point which is not on that line, there is only one new line parallel to the old line which pass through the point. That is, there are infinity new lines parallel to the old line, but only one of them pass through the given point.

2nd question

If two coplanar lines are parallel and intercept a third line, then the same angle is formed in the interception between each parallel line and the third line. In this case a 90° angle is formed and each parallel line is perpendicular with the third line.

Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is staying at a private room on the shore that is 6 km east of that point. Gibril is planning to go from the room to the island. Suppose Gibril runs at a rate of 8 kmph and swims at a rate of 3 kmph. How far should Gibril run before swimming to minimize the time it takes to reach the island?

Answers

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim \sqrt{2^(2)+(6-X)^(2) } Km .

Now The Total Time is t = (X)/(8) + \frac{\sqrt{2^(2)+(6-X)^(2) } }{3} .

t = (X)/(8) + \frac{\sqrt{X^(2)-12X+40 } }{3}

(dt)/(dX)=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^(2)-12X+40 } }

(dt)/(dX)=1/8 + (1)/(3) * \frac{X-6}{\sqrt{X^(2)-12X+40 } }

Now Put (dt)/(dX) = 0 , we get

1/8 + (1)/(3) * \frac{X-6}{\sqrt{X^(2)-12X+40 } } = 0

(1)/(3) * \frac{X-6}{\sqrt{X^(2)-12X+40 } } = - (1)/(8)

8(X-6)= -3 × {\sqrt{X^(2)-12X+40 }

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±\sqrt{(-660)^(2)-4*55*1944 }  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)
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