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insens350 [35]
3 years ago
5

[Help Please!] Find the value of x.

Mathematics
2 answers:
Tresset [83]3 years ago
8 0

Answer:

x = 52 degrees

Step-by-step explanation:

Let's first focus on the angle x + 72.  Immediately adjacent to x + 72 is angle RQS.  These two angles are "straight" in that they lie immediately adjacent to one another and add up to 180 degrees.  Then angle RQS can be expressed as

180 degrees - (x + 72 degrees), or 108 - x degrees.

The three interior angles of the triangle must add up to 180 degrees.  Hence

108 - x degrees + 34 degrees + 90 degrees = 180 degrees, and so:

108 - x + 34 = 90

This yields x = 52 degrees.

Norma-Jean [14]3 years ago
4 0

Answer:

x = 52

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles of a triangle

x+72 = 34+90

x +72 =124

Subtract 72 from each side

x = 124-72

x =52

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weqwewe [10]

Answer:

6

Step-by-step explanation:

From the Trapezoid attached :

EF = GT

FG = LA

LE = AT = 10

LA = 24 ; FG = 24

FG + EF + GT = 40

Let : EF and GT = x

FG + 2x = 40

24 + 2x = 40

2x = 40 - 24

2x = 16

x = 16 ÷ 2 = 8

Hence, EF = GT = 8

Using Pythagoras :

Opposite² = hypotenus² - Adjacent²

LF² = LE² - FE²

LF² = 10² - 8²

LF² = 100 - 64

LF² = 36

LF = √36

LF = 6

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3 years ago
7r &amp; 5 are like terms.<br> True<br> False
yan [13]

Answer:

False

Step-by-step explanation:

Not at all, 7r and 5 aren't like terms since you can't combine them.

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2 years ago
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Solve these equations.<br> 1. -16 = v - 14<br> 2. -2n = -22<br> 3. 25 = b + 7
leonid [27]

1) -16 = v - 14

Add 14 to both sides.

v = -2

2) -2n = -22

Divide both sides by -2.

n = 11

3) 25 = b + 7

Subtract 7 from both sides.

b = 18

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Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card how many spaces forward or
Ivenika [448]

Complete question :

designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card means move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

Answer:

2 squares backward

Step-by-step explanation:

Given the rule :

Blue card = 4 squares forward

Red card = 6 squares backward

Yellow card = drawing a blue followed by a red

Spaces moved after drawing a yellow card:

Yellow equals :

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Red = - 6 squares

Net total movement :

Blue + red

+4 + (-6)

4 - 6

- 2

2 squares backward

7 0
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