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
MakcuM [25]
3 years ago
13

Help me work this out please

Mathematics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:

∠DEF = 250°

Step-by-step explanation:

1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.

2. Add all the known angles, then subtract from the total degrees:

50 + 96 + 144 + 42 = 332

720 - 332 = 338

3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.

4. Add all the known values and subtract from 720 for the value of ∠DEF:

50 + 96 + 144 + 42 + 138 = 470

720 - 470 = 250°

You might be interested in
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give
garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28x%20%2B%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201x%20%2B%20%20
ozzi
If we take the equation and multiply out the left side, we get....

x^{2} + 2xk + k^{2} = x^{2} + x +k^{2}

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2
4 0
4 years ago
Which values of P and Q result in an equation with no solutions? -60x+32=Qx+P
Elena L [17]
Q = -60 and P ≠ 32 will result in an equation with no solutions. (Both conditions must be met.)

_____
For Q = -60 and P = 32, there will be an infinite number of solutions. For any other values of Q and P, the solution is
.. x = (32 -P)/(Q +60)
4 0
3 years ago
Does anyone know how to do this
Ksenya-84 [330]
The numbers on the top depend on how many sides a dice has. Hope this helps.

6 0
3 years ago
Consider the dot plot which shows the distribution of data collected on the amount of time Marty spends playing video games each
Marta_Voda [28]

Answer:

the correct answer is b.mean is greater than median

Step-by-step explanation:

i got the answer on usatestprep hope it helps:)

8 0
4 years ago
Other questions:
  • Ana is going to the carnival. She wants to ride at least 5 rides, and she has $30 to spend. She wants to ride the roller coaster
    10·1 answer
  • Question 35
    12·1 answer
  • Financial math people need help again please help me i have mono and missed a week of this
    5·1 answer
  • The vertices of a triangle are A(4, 1), B(9, 1), C(2, 5). What is the area of this triangle.
    7·2 answers
  • Is (2,10) a solution to this system of inequalities​
    13·1 answer
  • How to solve 6x^2+5x-4=0
    15·1 answer
  • Solve the equation<br> 45 = 3(x + 1)
    13·2 answers
  • Find the value of the variable.
    15·1 answer
  • Second part to my question ToT Plz help Double points :D
    12·1 answer
  • Evelyn bought needles, balls of yarn, stitch holders, and patterns for her knitting kit. she bought 3 times as any stitch holder
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!