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4 years ago

Question in photo

Mathematics

2 answers:

ipn [44]4 years ago

4 0

Answer:

5) x=7

6) x=14

7) x=22

8) x=27

Step-by-step explanation:

Please see attached picture for full solution.

If 2 straight lines intersect, then the 2 angles opposite each other are equal.

Oxana [17]4 years ago

4 0

Answer:

5 x=7 6 x=14 7 x=33 8 x=27

Step-by-step explanation:

5 44=6x+2
44-2=6x
42/6=6x/6
7=x

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3 years ago

How many hours did they travel during the first two days

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3 years ago

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Can you please help. Evaluate angles d and e, giving reasons for your answer.

garri49 [273]

Answer:

<d = 25 degrees and <e = 130 degrees

Step-by-step explanation:

We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.

<d = 25 degrees

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3 years ago

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Can y’all help me plss

Troyanec [42]

In a parallelogram,

⇒the angles adjacent to each other

⇒ are of the same measure

⇒so

∠A = ∠C

∠B = ∠D

Let's solve:

∠A = ∠C

$7z +5 = 8z - 10\\5+10=8z-7z\\8z-7z=5+10\\z = 15$

∠B = ∠D

$5w-30=3w+10\\5w-3w=30+10\\2w = 40\\w=20$

Let's check:

⇒ for all quadrilaterals like a parallelogram

⇒all the angle measures added up to 360, so:

$(7z+5)+(8z-10)+(5w-30)+(3w+10)=360\\(7(15)+5)+(8(15)-10)+(5(20)-30)+(3(20)+10)=360\\(105+5)+(120-10)+(100-30)+(60+10)=360\\110+110+70+70=360\\220+140=360\\360=360$

Thus:

Answer: w = 20 and z = 15

Hope that helps!

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mario62 [17]

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