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sveticcg [70]
3 years ago
14

Franklin measured and labeled the angles of a triangle as shown. Jennifer says that at least one of his measures is incorrect. E

xplain in at least two different ways how Jennifer knows that this is true.

Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

see the explanation

Step-by-step explanation:

First way

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

In this problem

37+97+134 > 180

therefore

At least one of Franklin's measures is incorrect

Second way

we know that

A triangle can only have at most one obtuse internal angle.

In this problem the triangle has two obtuse internal angles

Remember that an obtuse angle is an angle greater than 90 degrees

therefore

At least one of Franklin's measures is incorrect

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Marco has a collection of 437 bottles. Each month he buys 32 bottles .
Katarina [22]

Answer:

what is the question

Step-by-step explanation:

5 0
3 years ago
90 points!!
Svetllana [295]

Answer:

1) 2w + 2(3w) \leq 112

2) 850w > 300w + 7500

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

P = 2w + 2l

The problem states that the length of a rectangle is three times its width. So l = 3w and:

P = 2w + 2(3w)

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

2w + 2(3w) \leq 112

2)

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

E = 850*w, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

C = 300*w + 7500, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

E > C

850w > 300w + 7500

3)

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

x = 8 + 2y.

The sum of their ages is less than 32, so:

x + y < 32

8 + 2y + y < 32

3y < 24

y < \frac{24}{3}

y < 8

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

4)

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

x + y = 185

They are consecutive so:

x = y + 1

Replacing in the sum equation:

y + 1 + y = 185

2y = 184

y = \frac{184}{2}

y = 92

The smaller of the two integers is 92.

5)

The average is the sum of all the scores divided by the number of games. So:

225 = \frac{192 + 214 + 250 + x}{4}

656 + x = 900

x = 900 - 656

x = 244

Don needs to earn at least 244 points in the fourth game.

8 0
3 years ago
Match the term with the definition.
maria [59]
1- Line:
A line is a one dimensional figure that is formed by joining an infinite set of points.
It has no start and no end.
Answer:
Line ..............> A) infinite number of points extending in opposite directions that has only one dimension

2- Line segment:
It is the same as the line. The only difference is that a line segment has a fixed start point and a fixed end point. It is considered to be a portion of a line
Answer:
Line segment .........> D) a part of a line that has two endpoints

3- Ray:
A ray is also a one dimensional shape. A ray usually has a start point but no end point.
Answer:
Ray .........> B) part of a line that has one endpoint and continues in one direction infinitely

4- Point:
A point is a dimensionless geometric shape. It is only used to state a certain location.
Answer:
Point .........> C) a location, has no dimension

5- Vertex:
A vertex is a term that is used to refer to the point where the two rays forming an angle meet.
Answer:
Vertex ........> E) the common endpoint of two segments or rays that form the corner of an angle

Hope this helps :)
4 0
3 years ago
Plz help asap !! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a trip
torisob [31]

Answer:

y = 2x - 200

Step-by-step explanation:

The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2.  Since it has a consistent rate, it is linear.  Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:

y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.

6 0
3 years ago
Read 2 more answers
In the figure below, L N equals 4 x minus 7 and M O equals 2 x plus 13. For which value of x is the figure a rectangle?
Georgia [21]

For this case we have the following data:


LN = 4x-7

MO = 2x + 13

So that the figure can be a rectangle, its diagonals must be equal, that is, LN = MO

In this way we have:


4x-7 = 2x + 13

Clearing x we have:

4x-2x = 13 + 7 \\2x = 20

x=\frac{20}{2} \\x = 10

Thus, x must be equal to 10 so that the figure is a rectangle.


Answer:


x = 10

Option A

3 0
3 years ago
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