The diagonals of rhombus abcd intersect at point

Can any one please help me in this the teacher did not explain this it have to be in the lowest term also no decimal answer than

Zinaida [17]

Answer:

Step-by-step explanation:

$A . -5+3x =-41\\3x=-41+5\\3x = -36\\\frac{3x}{3} =\frac{-36}{3} \\x = -12\\\\\\\\\\B. 7x-4=-2x+11\\Collect-like-terms\\7x+2x=11+4\\9x=15\\\frac{9x}{9} =\frac{15}{9} \\\\x = \frac{5}{3} \\\\C. \frac{-4x}{5} =8\\Cross-multiply\\-4x=40\\\frac{-4x}{4} =\frac{40}{-4} \\x = -10\\\\D. \frac{x}{3} -\frac{1}{2} =\frac{1}{4} \\\frac{x}{3} =1/4+1/2\\\frac{x}{3} = \frac{3}{4} \\Cross-multiply\\4x =9\\4x/4 =9/4\\x = 9/4\\$

$E . -4(6x+1)+3 =11+2(x+2)\\-24x-4+3=11+2x+4\\Collect-like-terms\\-24x-2x=11+4+4-3\\-26x =16\\\frac{-26x}{-26} =\frac{16}{-26}\\ x = -\frac{8}{13}$

7 0

3 years ago

The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.

Softa [21]

Answer:

Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

$A_s=\frac{\theta}{360}*\pi r^2$ where θ is the measure of the central angle of the circle. For us, that fills in as follows:

$48\pi=\frac{270}{360}*\pi r^2$ and manipulate it as follows:

$r^2=\frac{(360)(48\pi)}{270\pi}$ the π's cancel out, leaving us with simple multiplication and division to get

r = 8. Now for the next one, which is a bit more involved.

In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:

$A_s=\frac{\theta}{360}*\pi r^2$ where θ again is the measure of the central angle of the circle, 90°:

$A_s=\frac{90}{360}(3.1415)(10)^2$ which simplifies a bit to

$A_s=\frac{1}{4}(3.1415)(100)$ , giving us an area of

$A_s=78.5375m^2$ . Now onto the area of the triangle.

Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

$A_t=\frac{1}{2}(10)(10)$ which is

$A_t=50m^2$

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.

4 0

3 years ago

If Jose earns $1700 this year selling T-shirt’s he screen prints in his garage what taxes would he need to pay?

Marta_Voda [28]

Answer:

State sales and income tax

Step-by-step explanation:

He pays income tax based on the $1700 he got when running his own business of selling T-shirt’s he screen prints in his garage and he also needs to pay for the State sales tax on each T-shirt sold to the state that his business is located in.

Hope it will find you well

3 0

2 years ago

Read 2 more answers

If P= (-1,5), Find:<br>Rx=1 (P)<br>([?],[])

VikaD [51]

Answer:

The reflection will be on the point (3, 5).

Step-by-step explanation:

For a given point (x, y) reflection along the line x = k, the co-ordinates will be:

$R_{x = k} (x, y) = (2k - x, y)$ .