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pishuonlain [190]
3 years ago
6

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics
2 answers:
ANEK [815]3 years ago
6 0

Answer:

  x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

  ∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

  5x = 2x + 33°

  3x = 33° . . . . . . . . . subtract 2x

  x = 11° . . . . . . . . . . . divide by 3

Viefleur [7K]3 years ago
5 0

Answer:

11 degrees

Step-by-step explanation:

it just is i tried it rsm

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The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

  • The 5% of 130 = £6.5
  • Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = \dfrac{136.5}{14}

The cost of each friend = £9.75


Learn more about fractions here:

brainly.com/question/78672

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4 0
2 years ago
A set of buttons sells for $2.75 and costs $0.55 to make. Twenty percent of the profit (the difference between the purchase pric
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Step-by-step explanation: I am 95% sure

6 0
3 years ago
Which of the following ordered pairs is a solution of X+1/2y=1
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6 0
4 years ago
Please simplify: −23d+81≤−98d+1
Strike441 [17]
- 23 d + 81  \leq -98 d + 1

Subtract 81 from both sides :

-23 d + 81-81 \leq -98d+1 -81

-23d \leq -98d-80

Add 98d to both sides:

-23d +98 d \leq -98d-80+98d

75d \leq -80

Divide both sides by 75 :

\frac{75d}{75}  \leq  \frac{-80}{75}

d \leq =- \frac{16}{15}

hope this helps!.


5 0
3 years ago
You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you ha
Stells [14]

Answer:

After 7.5 years we will have enough money in the account to purchase the car.      

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

                         = 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

7 0
3 years ago
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