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GaryK [48]
2 years ago
15

Save Work out the size of angle AED. b) Work out x

Mathematics
1 answer:
Mamont248 [21]2 years ago
8 0

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

   Therefore, in cyclic quadrilateral ABDE,

   m∠ABD + m∠AED = 180°

   110° + m∠AED = 180°

   m∠AED = 180° - 110°

                 = 70°

b). AD = ED [Given]

   m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

   m∠EAD = m∠AED = 70°

   By triangle sum theorem in ΔABD,

   m∠BAD + m∠ABD + m∠ADB = 180°

   m∠BAD + 110° + 40° = 180°

   m∠BAD = 180 - 150

                 = 30°

    m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

    m∠AEB = 70° + 30°          

                  = 100°

    By triangle sum theorem in the large triangle,

    x° + m∠AEB + m∠EAB = 180°

    x° + 100° + 70° = 180°

    x = 180 - 170

    x = 10°

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change in the position of the hand with the angle made by the change. The minute hand moves from 2 to 9. The minute hand moves f
lys-0071 [83]

Answer:

  • 2–9  7π/6
  • 3–7  2π/3
  • 4–6  π/3
  • 1–4  π/2
  • 5–10  5π/6

Step-by-step explanation:

The angle between numbers on an analog clock is π/6 radians. So, the angles of interest are ...

  2 to 9 : seven numbers : 7π/6 radians

  3 to 7 : four numbers : 4π/6 = 2π/3 radians

  4 to 6 : two numbers : 2π/6 = π/3 radians

  1 to 4 : three numbers : 3π/6 = π/2 radians

  5 to 10 : five numbers : 5π/6 radians

4 0
3 years ago
Use the distributive for dx(8+6)
kramer
That would be 14 then.
8 0
3 years ago
4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
Bezzdna [24]

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

3 0
3 years ago
Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
graph the number that represents the situation on a number line. please help with this question i will mark you brainliest!
Alja [10]

Answer:

OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO

5 0
2 years ago
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