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2 years ago

If ZBPD and ZDPC have a sum of 72°. What is ZAPC?

Mathematics

2 answers:

Pani-rosa [81]2 years ago

8 0

Hey there!

I don't know if it's too late, but oh well: The answer is 108°

Knowing that supplementary angles add up to 180°, and we also know that we have 2 out of 3 of the angle measures, so we can subtract that from 180:

180 - 72 =108°

Have a terrificly amazing day!

Dmitry_Shevchenko [17]2 years ago

5 0

Answer:

∡APC = 108°

Step-by-step explanation:

∡ APB = 180°

∡ DPB + ∡ CPB + ∡APC = 180°

∡ BPD and ∡DPC have a sum of 72°

then:

72° + ∡APC = 180°

∡APC = 180° - 72°

∡APC = 108°

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2 years ago

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Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are

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Answer:

70 yd.

Step-by-step explanation:

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$h=\sqrt{x^2+y^2}$

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Here we want to find the hypothenuse.

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3 years ago

Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

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Permutation = order matters

There are <u>two</u> methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

$\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35$

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)

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3 years ago

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Answer:

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