The mean of a set of 10 number is 56, If the mean of the first nine is 55 find the 10th number

Provide the reasons for the proof. Given: RUMH is a rhombus. RUBM is a rhombus. Prove: RHM = UMB

MissTica

Here, RUMH and RUBM are two rhombus as shown in the diagram.

As, a rhombus has four equal sides,

so for RUMH, side RH = side HM = side MU = side UR

and for RUBM, side RM = side MB = side BU = side UR

As HM=UR and MB= UR , so we can write HM = MB

Now for two triangles ΔRHM and ΔUMB,

side RH = side MU

side RM = side BU

and side HM = side MB

'Side Side Side' theorem states that if three sides of one triangle are equal to three sides of another triangle respectively, then the two triangles are similar.

That means, ΔRHM = ΔUMB

8 0

4 years ago

This is one of the things I need help on?

katrin [286]

Answer:

Here's your solution

=> Both angles are interior angles hence their

=> sum will equal to 180°

 => (2x + 10)° + ( x + 5) = 180°

=> 2x + 10° + x + 5° = 180°

=>.3x + 15° = 180°

=> 3x = 180° - 15°

=>. 3x = 165°

=>. x = 165/3

=>. x = 55°

=> hence angle = 120° and 60°

hope it helps

3 0

3 years ago

Read 2 more answers

1. Find the inverse of the one-to-one function f(x)= 6x-7 / 5

Elenna [48]

Rewrite it as y=6x-7/5

Flip the x and y
x=6y-7/5

Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y

f^-1(x)=5/6x+7/6

4 0

3 years ago

Use green’s theorem to evaluate

Georgia [21]

By Green's theorem (all the conditions are met), we have

$\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy$