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Elena L [17]
3 years ago
6

(14-3x)2 simplified using the distributive property.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer: 28-6x

This is the same as -6x+28

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

To get that answer, you multiply each term inside the parenthesis by the outer term 2

14 * 2 = 28

-3x * 2 = -6x

So,

(14-3x)*2 = 14*2 - 3x*2 = 28-6x

----------

The distribution rule says

a(b-c) = ab-ac

which is the same as saying

(b-c)a = ba-ca

We can flip things around because we can multiply in any order.

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Can someone please help with #16
ollegr [7]

Answer:

∠ WZX = 50°

XW is not an altitude.

Step-by-step explanation:

16. See the attached figure.

XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ

Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13

Hence, ∠ YXZ = 2 ∠ WXY

⇒ 8x + 34 = 2(10x - 13)

⇒ 8x + 34 = 20x - 26

⇒ 12x = 60

⇒ x = 5.

Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)

Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°

Hence, from Δ WXZ,

∠ WZX + ∠ WXZ + ∠ XWZ = 180°

⇒ 50° + 37° + ∠ XWZ = 180°

⇒ ∠ XWZ = 93° ≠ 90°

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6 0
3 years ago
Smith's age is 8 and his mother is 42.in how many years will the mother be three times as his son​
frozen [14]
Let’s make an equation
Let’s say x = amount of years after
Smith = 8, mother = 42
3(8 + x) = 42 + x
24 + 3x = 42 + x
2x = 18, x = 9
Solution: after 9 years
3 0
2 years ago
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