All categories

3 years ago

In the rhombus, angle 1=9x, angle 2=y+x, and angle 3=15z. Find the value of each variable. The diagram is not to scale.

Mathematics

1 answer:

notka56 [123]3 years ago

3 0

From the diagram, all three angles are 90° (Diagonals of a Rhombus)

Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10

Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80

Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6

Answer is Option C
C. x = 10, y = 80, z = 6

You might be interested in

Which expression is equivalent to ^3 square root 64a^6 b^7 c^9

sergij07 [2.7K]

Answer:

$4a^{2} b^{2} c^{3} (\sqrt[3]{b})$

Step-by-step explanation:

The given expression is :

$\sqrt[3]{(64}a^{6}b^{7} c^{9} )$

Writing 64 ,a,b,c as cubes we have:

= $\sqrt[3]{(}4^{3}( a^{2})^3( b^{2})^3.b( c^{3} )^3)$

Using radical rule we have :

= $4a^{2} b^{2} c^{3} (\sqrt[3]{b})$ .

The second option is the right answer.

7 0

3 years ago

Read 2 more answers

What is the volume of the prism?

Nikitich [7]

Answer:

24 m³

Step-by-step explanation:

We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .

Volume of one unit :-

$\rm\implies Volume_{one\ unit } = 1m^3$

By Unitary Method :-

Volume of two cubes , will be :-

$\rm\implies Volume_{two\ unit } = 2m^3$

Volume of one layer :-

$\rm\implies Volume_{one\ layer } = 4m^3$

Volume of six layers :-

$\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3}$

7 0

3 years ago

Help me answer this plzzz

Dvinal [7]

Answer:

true

Step-by-step explanation:

8 0

3 years ago

(B-c) / (2b-a). A=10, b= -4, c=63

Snowcat [4.5K]

(-4-63)\(2x-4-10)-8-10
-67\-18=-3.7

8 0

4 years ago

Two evenly matched tennis players, Jim and Rob, are going to play a set of 8 games. A player must win at least 6 of the 8 games

Bad White [126]

The two correct answers are that even numbers represent Jim and odd numbers represent Rob, or odd numbers represent Jim and even numbers represent Rob.

3 0

3 years ago

Read 2 more answers