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
qwelly [4]
3 years ago
7

Help please !!!!! asap

Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0
The answer: m∡BCD = 130° .
_____________________________________
Explanation:
______________________________
m∡BCD = 9x - 5 = our answer.
_____________________________
Note: (9x - 5) + (m∡C IN Δ  ACB)= 180 ;
____________________________
Reason: all angles on straight line add up to 180.
___________________________
Note: In Δ ACB; m∡A + m∡B + m∡c = 180.
_________________________________________
Reason: All three angles in any triangle add up to 180.
__________________________________________
Given  Δ ACB, we are given:
_____________
m∡C= ?
m∡B = (4x + 5)
m∡A = 65
_____________________
So, given  Δ ACB; m∡A + m∡B + m∡c = 180;
 →Plug in our known values and rewrite:
___________________________________
Given  Δ ACB; 65 + 4x + 5 + (m∡c) = 180;
  →Simplify, and rewrite:
___________________________________
Given  Δ ACB; 4x + 70 + (m∡c) = 180;
  →Subtract "70" from each side of the equation; and rewrite:
___________________________________
Given  Δ ACB; 4x + (m∡C) = 110;
   →Subtract "4x" from EACH SIDE of the equation; to isolate: "(m∡c)" on one side of the equation; and "solve in terms of "(m∡C)" ;
______________________________________________
Given Δ ACB' m∡C = 110 - 4x ;
__________________________________________
So, we know that: (110 - 4x) + (9x - 5) = 180; (since all angles on a straight line add up to 180.
____________________
We can solve for "x".
____________________
(110 - 4x) + (9x - 5) = 180;
________________________
Rewrite as: 
___________
(110 - 4x) + 1(9x - 5) = 180 ;  (Note: there is an implied coefficient of "1"; since anything multiplied by "1" equals that same value).
_______________________
Note the "distributive property of multiplication": 
_________________
 a*(b+c) = ab + ac ; AND:
 a*(b - c) = ab - ac .
_______________________
So, +1(9x - 5) = (+1*9x) - (+1*5) = 9x - 5 ;
__________________________
So we can rewrite:
___________________
(110 - 4x) + (9x - 5) = 180 ; as:
________________________
110 - 4x + 9x - 5 = 180 ;  We can simplify this by combining "like terms" on                                         the "left-hand side" of the equation:
_________________________________________________
110 - 5 = 105 ;
-4x + 9x = 5x; 
______________
So, rewrite as: 5x + 105 = 180;  Subtract "105" from EACH side; to get:
_____________________________________
 5x  = 75 ; Now, divide each side of the equation by "5"; 
              to get: x = 15.
_____________________________________________
Now, we want to know: m∡BCD; which equals:
_____________________________________________
 9x - 5 ;  let us substitute "15" for "x"; and solve:
______________________
9x - 5 = 9*(15) - 5 = 135 - 5 = 130.
_____________________________
The answer: m∡BCD = 130°
________________________
You might be interested in
Six out of ten people reported they like coffee. What percent of people
Tatiana [17]
Since 6 out of 10 people reported they liked coffee then 60% of people reported they liked coffee
5 0
3 years ago
Read 2 more answers
Describe the procedure you<br> performed to derive the slope-intercept form of a linear equation.
defon

Answer:

1. You first have to find the slope

2. Next, you have to find the y-intercept

3. Finally, you have to put it in y = mx + b form.

Step-by-step explanation:

The slope of 2 points is; \frac{y_{2}- y_{1} }{x_{2}-x_{1}}

The y-intercept is; y-y_{1}=m(x-x_{1} )

y = mx + b

m is always the slope

b is always the starting point or y-intercept

6 0
3 years ago
Read 2 more answers
If x=-7 and y=4 what would x^2-3xy=
Kruka [31]

Answer:

While x = -7 and y = 4, x² - 3xy = 133.

Step-by-step explanation:

x² - 3xy

Substitute variables.

(-7)² - 3(-7)(4)

Square -7 remembering that (-x)² = x².

49 - 3(-7)(4)

Multiply -7 and 4.

49 - 3(-28)

Multiply -3 and -28.

49 + 84

Add 49 and 84.

133

3 0
2 years ago
Help me please i need help
Mila [183]

Answer:

  A.  y = 2x -9

  B.  y = -1/2x +1

Step-by-step explanation:

The given line is in slope-intercept form

  y = mx + b

where m is the slope. For your given line, the slope is 2.

A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:

  y = m(x -h) +k . . . . . for slope m through point (h, k)

You want the equation of the line through (4, -1) with slope 2, so its equation is ...

  y = 2(x -4) -1

Simplifying to slope-intercept form, this becomes ...

  y = 2x -8 -1

  y = 2x -9

___

B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...

  m = -1/2

As above, the point-slope form of the perpendicular line is ...

  y = -1/2(x -4) -1

  y = -1/2x +1 . . . . . after simplification

4 0
3 years ago
Do modern scientists believe that protons and nuetrons are not made of smaller particles
anyanavicka [17]

Answer: Thus, protons and neutrons are no more indivisible than atoms are; indeed, they contain still smaller particles, which are called quarks. Quarks are as small as or smaller than physicists can measure.

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Can odd numbers under 20 be composite numbers
    5·1 answer
  • What is the liability to equity ratio of chester? select: 1 2.84 1.61 .31 4.35?
    14·1 answer
  • I'm having trouble with this
    15·1 answer
  • Use the Going West map in the Understanding Geography book to answer the following question.
    14·1 answer
  • Which of the following is an identity? Also, please include an explanation.
    12·1 answer
  • Pls help I’ll give brainliest :)
    5·1 answer
  • HELP I NEED TO DO THIS NOW I NEED ANSWER B AND C
    11·1 answer
  • Pls help with this math question
    8·2 answers
  • Please help i'm really stuck
    12·1 answer
  • Karl and Mark are walking through the woods dropping breadcrumbs to help them find their way home. After ten minutes, their brea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!