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
Oduvanchick [21]
2 years ago
15

I need help with this proof, the given and prove are at the top. Plzzzz help

Mathematics
1 answer:
Goshia [24]2 years ago
7 0

Answer:  The proof is mentioned below.

Step-by-step explanation:

Here, Given : m∠AOC = 160°  m∠AOD= (3x-10)° and  m∠ DOC= (x+14)°

Prove: x= 39°

      Statement                                              Reason

1. m∠AOC = 160°, m∠AOD= (3x-10)°    1.  Given

and m∠ DOC= (x+14)°    

2. m∠AOD+m∠DOC=m∠AOC         2. Because OD divides ∠AOC

                                                              into ∠AOD and ∠DOC

3. (3x-10)° +(x+14)°= 160°                     3. By substitution

4.  4x+4 = 160°                                    4. By equating like terms

5. 4x= 156°                                          5. By subtraction property

                                                             of equality

6. x= 39°                                              6. By division property of equality


You might be interested in
A museum has an aquarium in the shape of a right rectangular prism that is 6 1/4 feet long, 7 1/5 feet wide, and 4 1/2 feet high
Evgesh-ka [11]

Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

Volume = 5 × 9 × 4.5

Volume = 202.5 cubic feet

4 0
3 years ago
A rectangle is 12cm long and 9cm wide . calculate the length of the diagonal​
Shalnov [3]

Answer: 15 centimeters

Step-by-step explanation: You cut the rectangle into two triangles following the diagonal. You add 12 squared (144) and 9 squared (81) together. You get 225. You get the square root of 225 which is 15 and that is your answer. Basic solving for the hypotenuse.

4 0
2 years ago
Read 2 more answers
Given the diagram determine the height of the tree. round answer to the nearest tenth of a foot​
Mice21 [21]
  • the answer should be 70
  • base times height divided by 2
  • equals the answer for triangles
4 0
3 years ago
Kona wants to bake 30 loaves of bananas bread and nut bread one is 2.50 and other is 2.75 she wants to make are lasts 44$ write
kykrilka [37]

Answer:$79.25

Step-by-step explanation:

6 0
2 years ago
Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)
TiliK225 [7]

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

3 0
3 years ago
Other questions:
  • The lines y equals=3x minus−1 and y equals=ax plus+2 are perpendicular if aequals=​_______.
    6·1 answer
  • Miscate owns Cool Groove, a company that sells and installs automobile sound systems. Cool Grove charges $185 for each small sys
    7·1 answer
  • What’s the answer to this ?
    5·1 answer
  • What is the product? <br>(x-3)(2x²-5x+1)<br>C) 2x³-11x²+16x-3 ​
    5·1 answer
  • What is the true solution to ln20+ln5=2lnx<br><br>A)x=5<br>B)x=10<br>C)x=50<br>D)x=100
    12·1 answer
  • If john can cover 360 miles in 3 hours find the number of feet per minute john can cover
    15·1 answer
  • What 1.00 divided by 1.200
    15·1 answer
  • What’s the answer <br> To the problem it’s kinda hard
    10·1 answer
  • Any help is appreciated!!
    6·1 answer
  • Factor the expression <br> 9x - 36
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!