All categories

2 years ago

CAN SOMEONE HELP ME ANSWER THIS

Mathematics

1 answer:

yan [13]2 years ago

8 0

<6=<1=75 {Corresponding angles} :-)

You might be interested in

A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den

tia_tia [17]

Answer:

$\dfrac{7}{9}$

Step-by-step explanation:

$\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1$

$\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5$

Putting it in matrix form

$\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}$

From Cramer's rule we have

$x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7$

$y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9$

Verifying the results

$\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}$

$\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}$

Hence, the fraction is $\dfrac{7}{9}$ .

6 0

2 years ago

Which of the following is a pair of prime numbers? A 41,51 B 21,51. C 41,43. D 21,43

ElenaW [278]

I believe its C.
you can't divide any number yo get 41 nor 43

6 0

3 years ago

What are the rules of indices?

alexira [117]

Multiplication:
If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

Division:
If the two terms have the same base (in this case x) and are to be divided their indices are subtracted

Brackets:
If a term with a power is itself raised to a power then the powers are multiplied together.

4 0

2 years ago

During his workout, Elan spent 28% of the time on the treadmill. What fraction of his workout was on the treadmill?

tatyana61 [14]

28% means 28/100 which can be divided by 4/4 - the answer is 7/25

7 0

3 years ago

Read 2 more answers

What is the sector area of a sector created

natita [175]

Answer:

Area of sector = 4.88 m ²

Step-by-step explanation:

Given:

Angle = 140°

Radius = 2 m

Find:

Area of sector

Computation:

Area of sector = [θ/360][πr²]

Area of sector = [140/360][(22/7)(2)²]

Area of sector = 4.88 m ²

8 0

2 years ago

CAN SOMEONE HELP ME ANSWER THIS ​

CAN SOMEONE HELP ME ANSWER THIS