The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?

This year, when Latifa and Jameel add their ages, the sum is 29. Latifa’s age is 10 less than twice Jameel’s age. The system of

aksik [14]

Answer:

Jameel is 13 and Laitfa is 13 x 2 - 10 = 16

16 + 13 = 29

Step-by-step explanation:

The equation has already been given to us, so we just have to solve it.

According to the question,

L + J = 29

L = 2J - 10

L

2J - 10 + J = 29

add 10 both sides

2J + J = 29 + 10 = 39

3J = 39

J = 39/3 = 13

Done!

5 0

3 years ago

Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b? The equation ax =

butalik [34]

Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b

Step-by-step explanation:

4 0

3 years ago

M−2 over 4 =5 over 20

Ne4ueva [31]

m=3
Plug it in and it should work
3-2 =1 over 4 which is the same as 5 over 20 because both as a percentage equal 25% or 1/4 or 0.25 if you put it in a calculator as calculators provide decimal answers

5 0

3 years ago

I dont really know how to do soh cah toah. please help me find x.

Ipatiy [6.2K]

First notice that the triangle with sides $x,y,a$ and the triangle with sides $z,a+b,x$ are similar. This is true because the angle between sides $x,y$ in the smaller triangle is clearly $30^\circ$ , while the angle between sides $y,z$ in the larger triangle is clearly $60^\circ$ . So the triangles are similar with sides $x,y,a$ corresponding to $a+b,z,x$ , respectively.

Now both triangles are $30^\circ-60^\circ-90^\circ$ , which means there's a convenient ratio between its sides. If the length of the shortest leg is $\ell_1$ , then the length of the longer leg is $\ell_2=\sqrt3\ell_1$ and the hypotenuse has length $\ell_3=\sqrt{{\ell_1}^2+{\ell_2}^2}=2\ell_1$ .

Since $x$ is the shortest leg in the larger triangle, it follows that $a+b=2x$ , so $a+b=15=2x\implies x=\dfrac{15}2$

4 0

4 years ago

The print on the package of -watt General Electric soft-white light-bulbs says that these bulbs have an average life of hours. A

Naddika [18.5K]

Answer:

Hi your question is incomplete attached below is the complete question

answer : p ( X < 725 ) = 0.0116

Step-by-step explanation:

Given data:

Average life of bulbs (μ ) = 750 hours

standard deviation (б ) = 55 hours

n ( sample size ) = 25

X = 725

<u>Probability that the mean life of a random sample of 25 bulbs will be less than725 hours </u>

p ( X < 725 ) = p (( X - μ )/ б √n < 725 - 750 / 55√25 )

= P ( Z > - 2.27 )

Hence P ( X < 725 ) = 0.0116 ( using Z-table )

3 0

3 years ago