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BigorU [14]
2 years ago
8

Figure 1 and figure 2 are show on the coordinate plane below.

Mathematics
1 answer:
anzhelika [568]2 years ago
6 0

Answer:

Which series of transformations can be used to prove that figure 1 is congruent to figure 2?

Step-by-step explanation:

rotation of 90° counterclockwise about the origin and then translation 5 units left

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can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

6 0
1 year ago
Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%,
lukranit [14]

Answer:

a) Simple interest paid = $360

b) Total repayment amount = $6360

Step-by-step explanation:

It is given that:

Principal, P = $6000

Rate of interest, R = 2%

Time, T = 3 years

<em>(a) Total interest paid</em>:

<u>Formula</u> for Simple Interest is given as:

S.I. = \dfrac{P \times R \times T}{100}

Putting the values of P, R and T to find out Simple Interest:\\\Rightarrow S.I. = \dfrac{6000 \times 2 \times 3}{100}\\\Rightarrow S.I. = \$360

<em>(b) Total repayment amount</em>:

We know that formula for total amount is given as:

<em>Amount = Principal + Simple Interest</em>

Amount = 6000 + 360 = $6360

So, total repayment amount = $6360

So, the answers are:

a) Simple interest paid = $360

b) Total repayment amount = $6360

3 0
3 years ago
PLEASE ANSWER + BRAINLIEST!!!!
Nookie1986 [14]
Plug in 6 for x and solve out for f(x)
8 0
3 years ago
alex bought 2 dvd's for $28 each. and a dvd player for $85. He gave the cashier $150.00 how much change should alex heve receive
liraira [26]
The answer is $9

28+28+85=141

150-141=$9

8 0
3 years ago
1. Juan bought a pair of shoes costing P923.00 and a tie costing P275.00. He gave the seller P2, 000.00. How much change did he
EleoNora [17]
2000.00-923.00-275.00=802.00
4 0
3 years ago
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