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2 years ago

A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

3 0

Answer:

a) Angles A and B are 90 degree.

b) The 2 angles are equal

c) From point A having a better chance to kicking the ball in to goal

Step-by-step explanation:

a, b) 2 points are in front of the center and right post of goal. Because there is no detail, we can assume that point A, point B, center of goal, right goal post make up a rectangle. Therefore, the 2 angles are measured equally as 90 degree.

c) Because it's a rectangle, the distance between point A and center of goal is shorter than that between point B and center of goal.

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In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma

daser333 [38]

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

$x-1=y.$

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

$2(y-1)=x.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.$

Then

$x=y+1=3+1=4.$

4 0

3 years ago

What is 6/a-6 = 3/a-3 ?<br> help me please

Alenkasestr [34]

Answer:

a=1

Step-by-step explanation:

Multiply all terms by a and cancel:

6+−6a=3+−3a

−6a+6=−3a+3(Simplify both sides of the equation)

−6a+6+3a=−3a+3+3a(Add 3a to both sides)

−3a+6=3

−3a+6−6=3−6(Subtract 6 from both sides)

−3a=−3

−3a

−3

(Divide both sides by -3)

a=1

3 0

3 years ago

Read 2 more answers

Is 4/5 greater or less than 45/100 how do you know

rusak2 [61]

Answer:

4/5 is grater than 45/100

Step-by-step explanation:

Why?

because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%

now to make 4/5 a percentage what times 5 = 100?

20 does

so you times the top and bottom by 20

4*20= 80

now your fraction is 80/100 (top # tells you the %)

it's 80%

80% is grater than 45%

5 0

2 years ago

Read 2 more answers

Let's say we have a sample of 57 participants in a study, what would the degrees of

fiasKO [112]