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
almond37 [142]
3 years ago
13

I need help ASAP Integrated math II

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:

\boxed{ \bold{ \sf{x = 16}}}

\boxed{ \bold{ \sf{m < AFD = 82}}}

Step-by-step explanation:

\sf{5x + 18 = 3x + 50}

( Being vertically opposite angles)

Vertically opposite angles are always equal.

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change it's sign

⇒\sf{5x  - 3x = 50 - 18}

Collect like terms

⇒\sf{2x = 50 - 18}

Subtract 18 from 50

⇒\sf{2x = 32}

Divide both sides of the equation by 2

⇒\sf{ \frac{2x}{2}  =  \frac{32}{2} }

Calculate

⇒\sf{x = 16}

The value of x is 16

Now, let's find value of m<AFD :

\sf{m < afd + 5x + 18 = 180} ( sum of angle in straight line )

plug the value of x

⇒\sf{m < AFD + 5 \times 16 + 18 = 180}

Multiply the numbers

⇒\sf{m < AFD + 80 + 18 = 180}

Add the numbers

⇒\sf{m < AFD + 98 = 180}

Move constant to R.H.S and change it's sign

⇒\sf{m < AFD = 180 - 98}

Subtract 98 from 180

⇒\sf{m < AFD = 82}

Value of m<AFD = 82

Hope I helped!

Best regards!!

You might be interested in
where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?
Vladimir [108]

Answer:

where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?

Step-by-step explanation:

they Juan Carlos y los sigo pliss yyi de bvz

8 0
2 years ago
Is the expression 30 + x-x2 in standard form?
Anastasy [175]
It is but it needs to be rearranged to x^2-2x+30
4 0
3 years ago
Read 2 more answers
What is 6 divided by 25.2
mr_godi [17]
6/25.2
Multiply both sides by 5 so 25.2 is a whole number:
30/126
and then simplify by dividing by 6: 
5/21 which is equal to 0.2381.

Hope this helps :)
6 0
3 years ago
Can someone help me with 3,4 and 5? For 3 and 4 it's asking "what is the volume of each solid? Round to the nearest tenth if nec
Marianna [84]

Answer:

the answer 3,b

4,f

5,c

7 0
3 years ago
Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is 3
lesya692 [45]

Answer:

39

Step-by-step explanation:

Formula for the nth term (an) = a1 + d(n - 1)  where a1 = the first term and d = common difference.

So here the 13th term = 3 + 3(13 - 1)

= 3 + 3*12

= 39  (answer).

8 0
3 years ago
Other questions:
  • Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
    15·2 answers
  • Chris wants to order DVD’s over the internet.Each dvd cost $15.99 and shipping the entire order costs $9.99.If he can spend no m
    6·2 answers
  • Solve<br> -3.5 x 0.2 =<br> -0.7<br> -7.0<br> -33
    11·2 answers
  • What are the factors of x2 – x – 6? Check all that apply.
    15·2 answers
  • Suppose F is an antiderivative of f and A is an area function of f. What is the relationship between f and A? What is the relati
    5·2 answers
  • Use the graphing calculator to find the solution(s) of x2-2x-x 5 to the nearest tenth.
    12·1 answer
  • A company that makes​ hair-care products had 8000 people try a new shampoo. Of the 8000 ​people,24 had a mild allergic reaction.
    6·1 answer
  • The SI unit for measuring mass is the<br><br> Meter<br> Gram<br> Liter
    5·1 answer
  • An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long it will take f
    13·1 answer
  • In what order were the following energy sources discovered by humans ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!