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3 years ago

How much trail mix will each person get if 5 people share 1/2 pound of trail mix?

1 answer:

8 0

First you write an equation 1/2 divided by 5 than you change the division sign to a multiplication sign then you change the 5 to 1/5 then you multiply 1/2 times 1/5 and you get 1/10

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50 Points: Name the similar triangles & Prove the similarity with details

Leno4ka [110]

Let's consider the facts at hand:

By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
∠BEC = ∠DFC
Sides BE = DF

Based on the diagram, triangles BCE and triangles DCF are similar

⇒ based on the Angle-Angle theorem

⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

⇒ the two triangles are similar

Hope that helps!

Definitions of Theorem I used:

Vertical Angle Theorem: opposite angles of two intersecting lines must be equal
Angle-Angle Theorem: if two angles of both triangles are equal, then the given triangles must be similar

8 0

1 year ago

Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.

Elenna [48]

Answer:

a = 14

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

$\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}$

4 0

3 years ago

If ΔLMN ≅ ΔOPR, m∠L = (x^2 - x)°, m∠P = 16°, m∠N = (4x+160)°. Find m∠R.

Marizza181 [45]

Answer:

mZR = (4x + 160)°

Step-by-step explanation:

cause, mZR = mZN

;-))

8 0

2 years ago

What expression is equivalent to 4/2 times 4/3

In-s [12.5K]

Answer:

8/3

Step-by-step explanation:

6 0

3 years ago

Find the five-number summary for the given data. Min Q1 Q2 Q3 Max

Aleonysh [2.5K]

Answer with Step-by-step explanation:

16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84

the data is already arranged in ascending order

Min=16

Max=84

The quartiles for the odd set of data is given by

$Qi=\dfrac{i(n+1)}{4}\ th\ term$

where n is the number of elements

Here, n=23

$Q1=\dfrac{(23+1)}{4}\ th\ term$

Q1=6 th term

Q1=29

Q2=12 th term

Q2=41

Q3=18 th term

Q3=60

Hence, five-number summary for the given data is:

Min Q1 Q2 Q3 Max

16 29 41 60 84

8 0

3 years ago