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
Level 3<br> Solve: |x + 2|– 5 = -1
leonid [27]

Answer:

x=−6

x=2

Step-by-step explanation:

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

∣x+2∣−5=−1

Add 5 to both sides of the equation.

∣x+2∣=4

Use the definition of absolute value.

x+2=4

x+2=−4

Subtract 2 from both sides of the equation.

x=2

x=−6

6 0
3 years ago
Rewrite 302+40=342 in a different way, using the commutative of addition
bagirrra123 [75]

Answer:

40+32=342

Step-by-step explanation:

Using the commutative of addition change the position of 302 and 40 the expression is 40+302=342 [analysis]

7 0
1 year ago
2. A doctor created a scatterplot to show the relationship of heart rate to
Fed [463]

Answer:

Step-by-step explanation:

6 0
3 years ago
Reem earns $16 per hour for the first 8 hours of her shift. For each additional hour she works beyond the first 8 hours, she ear
RideAnS [48]

The single shift worked by Reem is 16 hours long.

Total earned = $320

First 8 hours (earning per hour) = $16

Additional hours = $24 per hour

Let the total number of hours worked = m

The Number of hours after 8 hours = m - 8

Representing the scenario with an equation :

(16 × 8) + (24 × (m - 8)) = 320

128 + 24m - 192 = 320

-64 + 24m = 320

24m = 320 + 64

24m = 384

Divide through by 24

m = 384 / 24

m = 16

Hence, the shift is 16 hours long.

Learn more : brainly.com/question/18109354

8 0
2 years ago
The circle shown below has AB and BC as its tangents: AB and BC are two tangents to a circle which intersect outside the circle
Nadusha1986 [10]
We are given with
arc AC = 130
The measure of the arc on the other side of the circle is
360 - 130 = 230
Therefore, according to the theorem on circles, the measure of angle ABC is 
(1/2) ( 230 - 130) = 50

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression represents "2 less than the product of 5 and a number"?
    14·2 answers
  • I need help...plzzz!!!
    7·1 answer
  • Slope is 0<br> Graph that shows that slope
    10·1 answer
  • Which juice container is larger 2 L or 1 gallon
    14·1 answer
  • How many lines of symmetry does a hart have
    9·2 answers
  • A survey conducted at an ice cream store asked only mothers
    9·1 answer
  • Place these real numbers in ascending order
    10·1 answer
  • Which is the best explanation for why − √ 10 is irrational?
    10·1 answer
  • Volume of a cylyinder witha heght of 2.3 and a base diameter of 15.2
    7·1 answer
  • A snail is moving at a rate of three inches every two minutes. How fast is the snail moving in feet per hour?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!