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
Thepotemich [5.8K]
3 years ago
6

The perpendicular bisector of side AB of triangle ABC intersects the extension of side AC at D. Find the measure of angle ABC if

measurement of angle CBD=16 degrees and measurement of angle ACB=118 degrees
Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

  23°

Step-by-step explanation:

Let the interior angles of ΔABC be referenced by A, B, and C. The definition of point D means that ΔDAB is an isosceles triangle, so we have the relations ...

  A + B + 118 = 180 . . . . interior angles of ΔABC

  A = B +16 . . . . . . . . . . base angles of ΔDAB

Using the expression for A in the second equation to substitute into the first equation, we get ...

  (B+16) +B +118 = 180

  2B + 134 = 180 . . . . . collect terms

  2B = 46 . . . . . . . . . . . subtract 134

  B = 23 . . . . . . . . . . . . divide by 2

m∠ABC = 23°

You might be interested in
1. Jemima wants to make chocolate chip walnut brownles. Chocolate chips come in a 12oz bag that costs $3. Walnuts
fomenos

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

7 0
2 years ago
PLEASE HELP ME!!!<br> I need help solving these 3 problem, I’ll give you brainliest. Thank you(:
Lyrx [107]
1. x > 3
_

2. x < -8/3
4 0
3 years ago
newberry beverages has 4,800 fluid ounces of water to bottle. each bottle holds 8 fluid ounces will the water fill?
galina1969 [7]

Answer:

it il fill 600, 8 ounce bottles

Step-by-step explanation:

4,800 divided 8 = 600

the total is 600 bottles

i hope this helps, have a great day. And good luck!

8 0
3 years ago
Find the slope of this line
asambeis [7]

Answer:

5/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
An oblique cylinder has a radius of 10 meters and a volume of 2,500 cubic meters. Use Cavalieri’s Principle to solve for the hei
shusha [124]
The idea of the Cavalieri's Principle states that even if the cylinder is oblique, so long as the planes in the figure are parallel, the equation would still be equal to,
                               V = Bh = πr²h
Substituting,
                               2,500 = π(10 m)²h
                                     h = 7.95 m
The answer should be 5 meters. 









4 0
3 years ago
Other questions:
  • Can anyone help!? Points are high!
    13·2 answers
  • Subtract 24 from 28 then divide by 2
    10·1 answer
  • One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic cen
    6·1 answer
  • What is the answer to 39 And 41
    5·1 answer
  • Please help how do I get this answer ?
    8·2 answers
  • 50 points will mark brainiest match each exponential function to it's rate of change
    15·1 answer
  • If point R is on segment ST, then segment RS is the same as segment ST rue or false
    8·1 answer
  • Which two lines are parallel: y=3x+2, y=3x+4, y+2x+4
    9·1 answer
  • $1,500 at 2.9% interest for 18 months<br> What is the interest?<br><br> What is the new balance?
    12·2 answers
  • Solve for y. Round to the nearest whole degree.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!