What order so these go in? (The 10 is included in this)

Challenge you buy 3.18 pounds of oranges, 1.15 pounds of grapes, and 2.32 pounds of apples.

11111nata11111 [884]

Answer:

5

Step-by-step explanation:

Oranges: 3.46 $

Grapes: 1.36 $

Apple: They didn't leave you with the cost of the apple so I don't know

Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.

8 0

2 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

1 year ago

Using the example in #8, find the value of x

RUDIKE [14]

Answer:

SolutioN :

Set up an equation & solve for x :

$\star \tt \: 15x - 7 - 3x + 151 = 180$ [ Sum of co-interior angles ]

$\longrightarrow \tt \: 12x + 144 = 180$

$\longrightarrow \tt \: 12x = 36$

$\longrightarrow \tt \: x = \frac{36}{12}$

$\longrightarrow \tt \: x = \boxed{ \tt{3}}$

The value of x is 3 .

---------- HappY LearninG <3 ---------

7 0

1 year ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

so

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

2 years ago

Read 2 more answers

Cuanto es (60 : 10 + 8) x 2

Nataliya [291]

Answer:

28

Step-by-step explanation:

4 0

3 years ago

What order so these go in?(The 10 is included in this)