1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
7

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
<span>C. x = 10, y = 80, z = 6</span>
You might be interested in
A solid lies between planes perpendicular to the​ x-axis at x = -2 and x = 2. The​ cross-sections perpendicular to the​ x-axis b
icang [17]

Answer:

V = 128π/3 vu

Step-by-step explanation:

we have that: f(x)₁ = √(4 - x²);  f(x)₂ = -√(4 - x²)

knowing that the volume of a solid is  V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then

dV=π(√(4 - x²)+√(4 - x²))²dx;  =π(2√(4 - x²))²dx ⇒

dV= 4π(4-x²)dx , Integrating in both sides

∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve

4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also

∫dv=8π∫(4-x²)dx evaluated 0≤x≤2

V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒

V = 128π/3 vu

8 0
3 years ago
What is the slope of the line represented by the equation 6y-14x=5
ioda

Answer:

slope = \frac{7}{3}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 6y - 14x = 5 into this form

add 14x to both sides

6y = 14x + 5 ( divide all terms by 6 )

y = \frac{14}{6} x + \frac{5}{6} ← in slope- intercept form

with slope m = \frac{7}{3} ← in simplest form


7 0
3 years ago
A recipe calls for One-fourth cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that the
Zielflug [23.3K]

Answer:

I guess The last option 21 and one- Third teaspoons

3 0
3 years ago
Read 2 more answers
If wx = XZ, then WX = YZ
EleoNora [17]
False, because there is not enough information to prove that it is true

hope this helps
5 0
3 years ago
Read 2 more answers
Sin(x+pi/4)-sin(x-pi/4)=1 solve the equation
evablogger [386]
Sin(α+β)=sin(α)cos(β)+cos(α)sin(β)
sin(α-β)=sin(α)cos(β)-cos(α)sin(β)


sin(x+ \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4}  \\ sin(x- \frac{ \pi }{4} )=sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4}  \\ \\   \\sin(x+ \frac{ \pi }{4} )-sin(x- \frac{ \pi }{4} ) =1 \\ sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4}  -(sin(x)cos\frac{ \pi }{4} -cos(x)sin\frac{ \pi }{4}  )=1 \\  sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4}  -sin(x)cos\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4}  =1 \\  cos(x)sin\frac{ \pi }{4} +cos(x)sin\frac{ \pi }{4}  =1 \\
2cos(x)sin\frac{ \pi }{4}  =1    \\ sin\frac{ \pi }{4} = \frac{ \sqrt{2} }{2}  \\ 2cos(x) \frac{ \sqrt{2} }{2}  =1 \\ 2 \cdot \frac{ \sqrt{2} }{2}cos(x)   =1 \\   \sqrt{2} cos(x)=1 \\
cos(x)= \frac{1}{ \sqrt{2} }  \\ x=\pm arccos \frac{1}{ \sqrt{2} }+2 \pi k , k \in Z \\ x=\pm \frac{ \pi }{4} +2 \pi k , k \in Z
6 0
3 years ago
Other questions:
  • What is the next number?<br> 2, 7, 26, 101, 400, ?
    7·2 answers
  • A triangular prism has the same number of face true/false
    7·1 answer
  • Flora’s car is 59/100 meters longer than Sally’s car.Sally’s car is 2/10 of a meter longer then Trevor’s car.how many longer is
    14·1 answer
  • E the problem
    7·1 answer
  • If you spin the spinner 40 times ,how many 4’s?
    12·2 answers
  • Which of the following are solutions to the equation below?
    5·1 answer
  • Write an equation for the translation of y=|x| up to 0.75 units.
    6·1 answer
  • PLEASE HELP NOT MUCH TIME LEFT
    9·1 answer
  • I'm a little confused on how to solve this. Show steps as well as the answer. thank you :)
    13·1 answer
  • Solve the equation.<br> 4x = -28<br> x=_____
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!