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CaHeK987 [17]
3 years ago
11

Please help! (listing BRAINLIST and giving points) ​:)​

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

(a) = 60

(b) = 70

Step-by-step explanation:

(a) Sum of all the angles of a triangle is 180

This is an equilateral Triangle

which means all the sides are equal since all the sides are equal that means all the angles are equal

x + x + x = 180 \\ 3x = 180 \\ x =  \frac{180}{3}  \\ x = 60

(b) this is an isosceles triangle with two equal sides that means the two opposite angles are equal

40 + x + x = 180 \\ 40 + 2x = 180 \\ 2x = 180 - 40 \\ 2x = 140 \\ x = 70

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Ciro purchased a concert ticket for $56 . The cost of the ticket was 4/5 the cost of his dinner. The cost of his hotel was 2 1/2
NeTakaya

$266

<h3>Further explanation</h3>

<u>Given:</u>

Ciro purchased a concert ticket for $56.

The cost of the ticket was ⁴/₅ the cost of his dinner.

The cost of his hotel was 2¹/₂ times much as his ticket.

<u>Question:</u>

How much did Ciro spend altogether for the concert ticket, hotel, and dinner?

<u>The Process:</u>

Note from all the data above we can start from the cost of his dinner by forming a pattern of 5 units.

Dinner: \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}

Since the cost of the ticket is ⁴/₅ the cost of the dinner, then we arrange the cost of the ticket by forming a pattern of 4 units containing $ 14 each. Recall that \boxed{\$ 56 \div 4 = \$ 14}

Ticket: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 56

Let us calculate the cost of his dinner:

\boxed{ \ 1 \ unit = \$ 14 \rightarrow 5 \ units = \$ \ ? \ }

Dinner: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 70}

\boxed{ \ \ or \ 5 \ unit \times \$ 14 = \$ 70 \ }

Hence, the cost of his dinner is \boxed{\boxed{ \ \$ 70 \ }}

Since the cost of his hotel is 2¹/₂ times much as his ticket, then we arrange the cost of his hotel by forming a pattern of two and one-half units of the cost of ticket.

Let us calculate the cost of his hotel:

\boxed{ \ 1 \ ticket = \$ 56 \rightarrow 2\frac{1}{2} \ units = \$ \ ? \ }

Hotel: \boxed{\$ 56}\boxed{\$ 56}\boxed{\$ 28} = \$ 140}

\boxed{ \ \ or \ \frac{5}{2} \ unit \times \$ 56 = \$ 140 \ }

Recall that \boxed{\ 2\frac{1}{2} = \frac{5}{2}}

Hence, the cost of his hotel is \boxed{\boxed{ \ \$ 140 \ }}

In the final step, we calculate how much Ciro spend altogether for the concert ticket, hotel, and dinner.

\boxed{ \ The \ concert \ ticket = \$ 56 \ }

\boxed{ \ The \ hotel = \$ 140 \ }

\boxed{ \ The \ dinner = \$ 70 \ }

\boxed{ \ \$ 56 + \$ 140 + \$ 70 = \$ 266 \ }

Thus, Ciro spent $266 altogether for the concert ticket, hotel, and dinner.

<h3>Learn more</h3>
  1. What is the width of the actual snowflake? brainly.com/question/1070912
  2. How much does his cat weigh (Jesse's)? brainly.com/question/388037
  3. How much more paint will Mathilde need to buy? brainly.com/question/36885

Keywords: Ciro purchased a concert ticket for $56, pattern, 4/5 the cost of his dinner, the cost of his hotel was 2 1/2 times much as his ticket, Ciro spend altogether

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