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1 year ago

The diagram shows a convex polygon. What Is The Value Of T?

Mathematics

1 answer:

Oxana [17]1 year ago

8 0

Answer:

t = 9

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the exterior angles and equate to 360

10t + 16t + 53 + 73 = 360 , that is

26t + 126 = 360 ( subtract 126 from both sides )

26t = 234 ( divide both sides by 26 )

t = 9

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Evaluate the inequality 6x-2y+8 when x=3 and y=2 show your work

snow_tiger [21]

Answer:

Step-by-step explanation:

6(3)-2(2)+8

18-4+8

14+8

3 0

3 years ago

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Evan and Carter are making chocolate milk which mixes milk with chocolate syrup. Evan's recipe calls for 5 cups of milk for ever

Alex73 [517]

Answer:

Evan's recipe

Step-by-step explanation:

Given that:

Evan's recipe :

5 cups of milk for every 4 teaspoons of chocolate syrup

Carter's recipe:

3 cups of milk for every 2 teaspoons of chocolate syrup.

Recipe with the stronger tasting chocolate milk:

Take the ratio of cups of milk to teaspoons of chocolate syrup:

Evan's :

5 / 4 = 1.25

Carter's :

3 /2 = 1.5

Evan's recipe has the stronger tasting chocolate milk recipe :

5 milk cup = 4 chocolate spoons

Number of chocolate milks for 3 milk cups = x in Evan's recipe

5 = 4

3 = x

5x = 12

x = 12/5

x = 2.4 teaspoons

This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups

3 0

2 years ago

Solve 3x^2=-12-6x by completing the square

Lelu [443]

Answer:

x = - 1 ± i $\sqrt{3}$

Step-by-step explanation:

Given

3x² = - 12 - 6x ( add 6x to both sides )

3x² + 6x = - 12 ( divide through by 3 )

x² + 2x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 4 + 1

(x + 1)² = - 3 ( take the square root of both sides )

x + 1 = ± $\sqrt{-3}$ = ± i $\sqrt{3}$ ( subtract 1 from both sides )

x = - 1 ± i $\sqrt{3}$

3 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST.

kari74 [83]

Answer:

Choice D

Step-by-step explanation:

For this one I would find if the point lands on the line.

Choice A:

What we have to do is to plug in -4 for x and 4 for y.

$y=2x+10\\(4)=2(-4)+10\\4=-8+10\\4\ne2$

The point is not on this line so this cannot be it.

Choice B:

We pug what we know again.

$y=\frac{1}{3}x+1\\(4)=\frac{1}{3}(-4)+1\\(4)=-\frac{4}{3}+1\\4\ne-\frac{1}{3}$

The point is not on this line so it can't be it.

Choice C:

We pug in what we know again.

$y=3x-9\\(4)=3(-4)-9\\(4)=-12-9\\4\ne-21$

The point is not on this line so it can't be it.

The next one has to be it, but we'll check it just in case.

Choice D:

We plug in what we know again.

$y= \frac{1}{2}x+6\\(4)=\frac{1}{2}(-4)+6\\(4)=-2+6\\4=4$

The point is on this line so this is the line.

3 0

2 years ago

Point L is on line segment

KengaRu [80]

Answer:

k is the option that makes sense

3 0

2 years ago