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
Mila [183]
2 years ago
5

Delta math: Angle Terminology with Equations

Mathematics
1 answer:
DaniilM [7]2 years ago
3 0

Answer:

m∠A = 139°

Step-by-step explanation:

First we must know that

Supplementary angles equal to 180 degree.

Since we know that supplementary angles equal to 180 degree we can solve now:

Putting m ∠A and m ∠ B together and put the = 180

( 7x - 15 ) + ( 2x - 3 ) = 180

Now solving for x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Hence,  Angle A will have a measure of 7x - 15 which means  7 ×  22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

139 + 31= 180

<u><em>[RevyBreeze]</em></u>

You might be interested in
Given: CB bisects
marin [14]

Answer:

Answer to fourth part is :

Angle ABC= Angle DBC

So for fifth part reason answer is ASA congruency.

Step-by-step explanation:

Here we are given that CB bisects angle ABD and angle ACD.

So we have ,

Angle ABC= Angle DBC

Answer to fourth part is :

Angle ABC= Angle DBC

Now here we have two angles and one side equal in two triangles.

So we can say that ASA congruency fits in the best here.

So for fifth part reason answer is ASA congruency.

4 0
3 years ago
Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay C
Sonja [21]

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

7 0
2 years ago
(Hehe...Please ignore the markings)
inysia [295]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1<em> from </em>2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

______

Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

3 0
2 years ago
Help me plz <br><br>76° A B D с What is the measure of ZC? (Hint: just give numerical answer... ​
butalik [34]

Answer:

∠ACB = 38°

Step-by-step explanation:

∠ACB is an inscribed angle while arcAB is its intercepted arc

An inscribed angle is equal to half the length of its intercepted arc

Hence, ∠ACB = 1/2 the measure of arc AB

arc AB = 76°

Hence ∠ACB = 1/2 of 76

76/2 = 38

Therefore ∠ACB = 38°

8 0
2 years ago
You roll a die. Find the probability of rolling a three or a four.
Tema [17]

Answer:

The probability is 1/3

Step-by-step explanation:

There are 6 faces on a die and you are given two faces to possibly land on. 2/6 can be reduced to 1/3

8 0
3 years ago
Other questions:
  • Ms. Lee, a single adult, earned $65,000 in taxable income last year. Use the rate table below to calculate how much she must pay
    5·1 answer
  • (8a-3)^2 answers are
    10·1 answer
  • Sal Espinosa makes 8% commission on the first $5,000 of sales and 10% on any sales over $5,000. Find his total graduated commiss
    14·1 answer
  • the rope Roz brought with her camping gear is 54 inches long. Roz needs to cut shorter pieces of rope that are each 8 inches lon
    6·1 answer
  • Which functions have a vertex with a x-value of O? Select three options.
    7·1 answer
  • Please help!!!!!!!!!!
    15·2 answers
  • Need help please help me
    11·1 answer
  • How do I solve this question
    5·1 answer
  • HELP plsss if I don’t answer this I can’t go to lunch
    15·1 answer
  • How much is 2000mg in grams?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!