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
egoroff_w [7]
2 years ago
12

QUICK PLZZ!!! If m<ABD = 71°, what are m<ABC and m<DBC?​

Mathematics
1 answer:
suter [353]2 years ago
7 0

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

Step-by-step explanation:

!!

You might be interested in
which of the following is an experiment,? A. Rolling a pair die. B.Rolling two pair dice twice. C.Tossing a coin. D.None of thes
sergejj [24]

Step-by-step explanation:

Hint : we will check for each option whether it is an experiment or not by using the concepts of probability first we will check then if a coin is tossed then it is an experiment or not ? then we will check that if a dice is rolled is it an experiment or not and then we will repeat the same process for choosing a marble from a jar

complete step by step answer and event is a set of outcomes of an experiment to which probability is assigned as take an example when we and I the possibility of 5 appearing on the die is an event if for tossing a coin we do not know the result when a coin is tossed in can give any result whether it will be a head or tails so this is an example for a random experiment if a six-sided dice will be rolled then we do not know what is about to come there result can be anything from 126 so it is also an example for random experiment choosing a marble from a jar is also an experiment because we are choosing one marble from the jar and experiment is a work in which a result can be anything hence option d is the correct option not probability is how likely something is about to happen when a coin is tossed there are two possibility outcomes heads or tails show the probability of an outcome 1

( number of ways it can happen )÷

( total number of outcomes)

so when a coin is tossed the total number of outcomes are to solve the probability of a current head is 1/2

7 0
2 years ago
Solve the simultaneous equations
Black_prince [1.1K]

Answer:

Step-by-step explanation:

4x + 3y = 24

4x - y = 8

4x + 3y = 24

-4x + y = -8

4y = 16

y = 4

4x - 4 = 8

4x = 12

x = 3

(3, 4)

8 0
2 years ago
Helpppppppppppppppppppppp..... .......<br><br><br>​
morpeh [17]

Answer:

{ \sf{( \sec \theta -  \csc \theta)(1 +  \tan \theta +  \cot \theta) }} \\  = { \sf{( \sec \theta +  \tan \theta \sec \theta +  \cot  \theta \sec  \theta) - ( \csc  \theta -   \csc \theta \tan  \theta -  \csc \theta \cot  \theta)}} \\  = { \sf{( \sec \theta +  \sec \theta \tan  \theta +  \csc  \theta) - (  \csc  \theta -  \sec \theta -  \csc  \theta \cot   \theta)}} \\  = { \sf{ \sec  \theta \tan  \theta +  \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}

3 0
2 years ago
Create<br> height<br> question about<br> Grade 7
frez [133]

Answer:

wdym like create a question about height that includes 'Grade 7' in it?

Step-by-step explanation:

4 0
2 years ago
The surface area of a ball is 3,600 square millimeters. What is the balls radius
allsm [11]
A = 4 \pi r^2

3600 = 4\pi r^2

\dfrac{3600}{4 \pi} = r^2

r^2 = 286.479

r = 16.9

Answer: The radius is 16.9 mm.
4 0
3 years ago
Other questions:
  • How do I divide with fractions?
    14·1 answer
  • Kenny has 9 more comics books that Bobbie.Together they have 95 comic books.Define the variable.Then write an equation that coul
    13·2 answers
  • What is the exact value of cos112.5?
    7·2 answers
  • What is coefficient tern and constant  6xy-5xy
    9·1 answer
  • Ted has the following triangle dimensions.
    12·2 answers
  • Which of the following expressions are equivalent to x + 2 − x ?
    15·1 answer
  • Can somebody solve them and explain to me. <br> I'M LOST?!
    10·1 answer
  • sad story not my pics got from the internet on gram this is bopy he is about 6 or 7 his brother is using him for clout and makin
    14·1 answer
  • Someone help me please
    13·1 answer
  • What is 3 1/2 divided by 4/5?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!