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
Katyanochek1 [597]
3 years ago
14

M∠ABC=95° Find m∠ABD and m∠DBC. Please explain how to do this

Mathematics
3 answers:
ch4aika [34]3 years ago
7 0
(2x+23)+(9x-5)=95

11x+18=95

x= 95-18/11

x=7

therefore substituting value of x in the given equations of angles:

angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58° Answer


to verify = 37°+58°= 95° ( which was given)
ad-work [718]3 years ago
6 0

Answer:

m∠ABD=37° and m∠DBC = 58°.

Step-by-step explanation:

Given information: m∠ABC=95°

From the given figure it is clear that m∠ABD=(2x+23)° and m∠DBC=9x-5° .

m\angle ABC=m\angle ABD+m\angle DBC

Substitute value of each angle in the above equation.

(95)^{\circ}=(2x+23)^{\circ}+(9x-5)^{\circ}

Comparing the measure we get

(95)=(2x+23)+(9x-5)

On combining like terms we get

95=(2x+9x)+(23-5)

95=11x+18

Subtract 18 from both sides.

95-18=11x

77=11x

Divide both sides by 11.

7=x

The value of x is 7.

m\angle ABD=(2x+23)^{\circ}=(2(7)+23)^{\circ}=37^{\circ}

m\angle DBC=(9x-5)^{\circ}=(9(7)-5)^{\circ}=58^{\circ}

Therefore m∠ABD=37° and m∠DBC = 58°.

Answer Key2 years ago
0 0

(2x+23)+(9x-5)=95
11x+18=95
x= 95-18/11
x=7
substitute x with 7.
angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58°

You might be interested in
Write an equation in point-slope form that passes through ( -4, 2) and has a slope of 3. *
hram777 [196]
Option 2 i believe .
7 0
3 years ago
A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
JulijaS [17]
It’s 301 bc u add them together
6 0
3 years ago
-3 + x = 7.2; x =<br> -4w=-10;w=
inna [77]

Answer:

X=10.2

  • w= 10/4 or w= 5/2

Step-by-step explanation:

4 0
2 years ago
(rs) (4) = (r/s) (3) =
Dmitriy789 [7]

Answer:

(rs) (4) = (r/s)(3) = (r)(s)(2)

4 0
3 years ago
Mrs, O'Neil has 2 times as many markers as colored pencils. The total number of markers and colored pencils is 18. How many mark
Natali [406]
36 I believe sorry if it’s wrong what I did was multiply 2x 18 have I nice day good luck!
5 0
3 years ago
Other questions:
  • The skating rink is found at the coordinates of (-3, 1). Jack's house is found 5 units horizontal and to the left of the skating
    9·1 answer
  • Let f(x) = 5x + 4 and g(a) = a2 − 4a + 4 2 . Find the function value. g(−2)
    14·1 answer
  • The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅
    12·2 answers
  • What's (7x/2-5x+3)+(2x/2+4x-6)
    9·1 answer
  • -3+2(2+x+3). What property of real numbers what do use to transition from step 2 to step 3?
    13·1 answer
  • -7=21+x help please thankyou
    5·2 answers
  • Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,)
    8·2 answers
  • The image of point (-2,3) under translation T'is
    12·1 answer
  • PLSSSS HELP ASAPPP<br> !!!!!!
    8·2 answers
  • Mason goes to a store an buys an item that costs xx dollars. He has a coupon for 30% off, and then a 7% tax is added to the disc
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!