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4 years ago

Which of the following is a result of the construction of a median of a triangle?

Mathematics

2 answers:

stich3 [128]4 years ago

8 0

Answer:

" A side of the triangle is bisected "

Step-by-step explanation:

We have to choose the option which is the result of the construction of a median of a triangle.

When we draw a straight line from a vertex of a triangle to the midpoint of the opposite side then the straight line is called a median of the given triangle.

Hence, when we draw a median of a triangle then it results " A side of the triangle is bisected ". (Answer)

Alex73 [517]4 years ago

5 0

Answer:

Step-by-step explanation:

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The sum of two numbers is 33. One number is 17 less than the other. Find the numbers. the smaller number is ? The larger number

Genrish500 [490]

Answer:

8 and 25

Step-by-step explanation:

We can set up an equation to help solve this problem.

Let x represent the smaller number

x+(x+17)=33

2x+17=33

2x=16

x=8

The smaller number is 8

Add 17 to 8

The larger number is 25

8 0

3 years ago

Read 2 more answers

The figure shows the boundary junction temperatures (in degrees Fahrenheit) of a thin metal plate. The temperature T at any inte

kramer

Answer:

The figure shows the boundary junction temperatures (in degrees Fahrenheit) of a thin metal plate. The temperature T at any interior junction can be approximated by the mean of the temperatures at each of the four surrounding junctions. Approximate T1, T2, T3 and T4 to the nearest tenth decimal place. 55° 55° T2 27° 27 T TA 27° 27° 3° 3°

3 0

4 years ago

Solve equation using SQAURE ROOTS, show work. Round to the nearest hundredth if needed

ivann1987 [24]

Answer:

x=8, x=4

Step-by-step explanation:

Add 4 to both sides

$(x-6)^2=4$

Square root

$(x-6)= \sqrt{4}$

x - 6 = ±2

x = 8

OR x = 4

So, x=8 or x=4

7 0

2 years ago

HELP PLEASE! IM STUCK--

belka [17]

9514 1404 393

Answer:

A (first choice), F (last choice)

Step-by-step explanation:

Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.

The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.

These two forms can be converted to each other like this:

explicit formula ⇔ recursive formula

$A(n)=A_1+d(n-1)\quad\Leftrightarrow\quad\begin{cases}a_1=A_1\\a_n=a_{n-1}+d\end{cases}$

The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...

the first term
the common difference
the other formula for the same sequence

Here, the given function tells you ...

A₁ = 5
d = +4

This means the formulas that describe the same sequence are ...

$\square\ \begin{cases}a_1=5\\a_n=a_{n-1}+4\end{cases}\\\\\square\ A(n)=5+4(n-1)$

_____

Additional comment

The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.

3 0

2 years ago

An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

2 years ago