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Luda [366]
3 years ago
10

Find the value of x for whichA.31B.43C.121D.47

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

The value of x is 31°

Step-by-step explanation:

As we can see, the two angles at the bottom of the shape are base angles. These angles both form right angles which means they both have a measurement of 90°. Knowing this information, we can set up an equation to solve for x.

47 + (x + 12) = 90

47 + x + 12 = 90

Add 12 to 47.

59 + x = 90

Subtract 59 on both sides of the equation.

x = 31

The value of x is equal to 31.

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Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
3 years ago
What do I type in all the yellow boxes?
iVinArrow [24]

Answer:

1st blank: 4

2nd blank: -8

y=2

Step-by-step explanation:

-2²=4

4(-2)=-8

1 x 4 = 4

4 + -8 = -4

-4 + 6 = 2

3 0
2 years ago
Read 2 more answers
Two neighboring stores sell apples. Sunny Market sells apples in groups of 5 for $3.20. Happy Mart sells apples in groups of 2 f
Kamila [148]

Ans: Sunny Market

Sunny Market as $3.20/5=$0.64 while and
Happy Mart $1.58/2=$0.79
6 0
3 years ago
Read 2 more answers
7y means
olga55 [171]
Answer:

C

Explanation:

When a number is connected to a variable, (letter) you are multiplying them.
7 0
3 years ago
1. Renting a bicycle at a local Bike shop costs $30 for the first day and $10 for each additional day.
Elza [17]
<span>(a) Create a chart of values and write an equation to find the total cost, C in terms of the number of days d.

C = 10d + 20

</span><span>(b) Use the equation you created in Part (a) to find the cost of renting a bike for 5 days.
</span>
C = 10d + 20
<span>C = 10(5) + 20= 50 + 20 = 70

$70 for 5 days

</span>
7 0
3 years ago
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