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choli [55]
3 years ago
10

De student.cms.k12.nc.us bookmarks

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

m<ABD = m<CBD. Therefore:

2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

4x + 24 = 44 (distributive property)

4x + 24 - 24 = 44 - 24 (substraction property of equality)

4x = 20

4x/4 = 20/4 (division property of equality)

x = 5

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Someone plz help! Photo Above
TiliK225 [7]

Answer:

  • -704

Step-by-step explanation:

<u>Given the sequence</u>

  • A = -4 - 6i

<u>To find </u>

  • Sum of terms from i=5 to i=15
<h3>Solution</h3>

We see the sequence is AP

<u>The required sum is</u>

  • S₅₋₁₅ = S₁₅ - S₄

<u>Using sum of AP formula</u>

  • Sₙ = 1/2n(i₁ + iₙ)

<u>Finding the required terms</u>

  • i₁ = - 4- 6 = -10
  • i₄ = -4 -6*4 = - 28
  • i₁₅ = -4 -6*15 = -94

<u>Getting the sum</u>

  • S₄ = 1/2*4*(-10 - 28) = -76
  • S₁₅ = 1/2*15*(-10 - 94) = -780
  • S₅₋₁₅ = S₁₅ - S₄ = -780 - (-76) = - 704
4 0
3 years ago
Use a graphing utility to approximate (to two decimal places) any relative
iogann1982 [59]

Answer:

Relative minima at (-\frac{7}{2} , -\frac{49}{4} ), and relative maxima DNE.

Step-by-step explanation:

The given function is f(x) = x (x + 7) ...... (1)

We have to calculate the relative maxima and relative minima at point (x, y).

Rearranging the function given above we get.

y= x^{2} +7x = (x + \frac{7}{2} )^{2} -\frac{49}{4}

⇒ y+ \frac{49}{4} = (x + \frac{7}{2} )^{2}

Now, this is an equation of parabola having vertex at (-\frac{7}{2} , -\frac{49}{4} ) and the axis is parallel to positive Y-axis.

Therefore, the function(1) has a relative minima at (-\frac{7}{2} , -\frac{49}{4} ), and the relative maxima DNE. (Answer)

3 0
3 years ago
What is 896.854 in word form
Dahasolnce [82]
Eight hundred and ninety-six point eight hundred and fifty-four.
8 0
3 years ago
Read 2 more answers
If town A had 35 people, 12 left, 13 joined, 39 joined, 25 got killed, how many people were there left?
Makovka662 [10]

Answer:

50

Step-by-step explanation:

35 - 12 + 13 + 39 - 25 = 50

6 0
3 years ago
Use a related equation that has the variable on one side. Then simplify the other side. T/3 = 15. (A t = 15 ÷ 3; t = 5.)
gregori [183]
It’s D bc Dt= 15x3 and it’s not that hard to solve
6 0
3 years ago
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