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dexar [7]
3 years ago
12

Find the value of x. Give reasons to justify your solution. C ∈ AE

Mathematics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

  • 2x + 33 = 5x (C.L.T or <u>C</u>ombine <u>L</u>ike <u>T</u>erms)
  • 3x = 33 (inverse operations; divide by 3)
  • x = 11º (remember to apply units)
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Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
sweet [91]

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

3 0
3 years ago
For questions 1-2 identify the zeros of the function
Ipatiy [6.2K]

Answer:

Step-by-step explanation:

The zeros of a function are where it crosses the x axis, so just find the coordinates for the x intercepts.

1.

(2,0) and (-1,0)

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(3,0) and (-3,0)

8 0
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Please write the equation and solve:
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They each paid $110. 

I hope this is correct!

Good luck:)

3 0
3 years ago
At-home medical test kits have increased in popularity in recent years. This​ year, 380 million test kits are expected to be sol
Vladimir79 [104]

Answer:

326.8 million

Step-by-step explanation:

You just get 14% of 380 million and subtract it from 380 million

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A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 208
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Answer:

x= 14

Step-by-step explanation:

x + 5x +10x = 224 CENTS

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