A statement and portions of the flowchart proof of the statement are shown.

Mathematics

1 answer:

Vinvika [58]2 years ago

6 0

BAC and CAD are adjacent angles, because they share a common vertex (A) and a common side AC, (an no other common points but the points on side AC).

The 2 adjacent angles form a new larger angle (BAD), whose measure is the sum of the measures of the adjacent angles.

This is called the "Angle Addition Postulate"

Answer: A

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Find the length of the missing side. Leave your answer in simplest radical form.

malfutka [58]

Solve for hypotenuse

Hypotenuse = $\sqrt{a^{2}+b^{2}}$

Substitute 3 for A and 4 for B
$\sqrt{3^{2}+4^{2}}$

Solve exponents
3^2 = 9
4^2 = 16
$\sqrt{9+16}$

Add
9 + 16 = 25
$\sqrt{25}$

Solve square root
$\sqrt{25}$ = 5
5 is your answer

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3 years ago

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PLEASE ANSWER + BRAINLIEST!! Factor completely. 4k - 20k^9 = 3b^2 - 108 =

Neporo4naja [7]

$4k-20k^9=4k(1-5k^8)=4k\left[1^2-(k^4\sqrt5)^2\right]\\\\=4k(1-k^4\sqrt5)(1+k^4\sqrt5)=4k\left[1^2-(k^2\sqrt[4]5)^2\right](1+k^4\sqrt5)\\\\=4k(1-k^2\sqrt[4]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k\left[1^2-(k\sqrt[8]5)^2\right](1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k(1-k\sqrt[8]5)(1+k\sqrt[8]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)$

$3b^2-108=3(b^2-36)=3(b^2-6^2)=3(b-6)(b+6)$

$Used:\ (a-b)(a+b)=a^2-b^2$

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2 years ago

Sophia can walk 1.4 miles in 15 minutes. At this rate how far can she walk in an hour

spin [16.1K]

At this rate she can walk 5.6 miles because you need to multiply 1.4 by each 15 minutes until it gets to a hour so you get 5.6 miles

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2 years ago

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. 1760 yd = _______mi please show work

Elza [17]

Answer:

it will be 1 yd

Step-by-step explanation:

idk if it was a decimal

but 1760 divided by 1760

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2 years ago

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2 years ago