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Marta_Voda [28]
3 years ago
5

Find the value of z in the figure below..​

Mathematics
1 answer:
zzz [600]3 years ago
3 0

answer

z = 100

opposite angles

when inscribed in a circle, the opposite angles of a quadrilateral add up to 180

so z + 80 = 180 and y + 120 = 180

solve for z

z + 80 = 180

z = 180 - 80

z = 100

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coldgirl [10]
<h3>Answer: XWY and STR</h3>

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

4 0
3 years ago
Sovle for X. Please.
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Answer:
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5 0
3 years ago
Find the least common denominator of the two fractions 3/4 over 1/6?
leva [86]

Answer:

(2/12 & 9/12)

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12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.

( not written by me )

8 0
3 years ago
Read 2 more answers
A statue that is 80 m tall stands on a 625 m2 base. An artist creates a replica using a ratio of 1:15. What is the area of the r
Sholpan [36]

Answer: 2.78m^{2}

Step-by-step explanation:

given data:

height of the statue = 80m.

base of the statue = 625m^{2}.

scale of the statue replica = 1:15.

<u><em>solution:</em></u>

= 1:15^{2} \\\\\= 1:225\\\\

= \frac{625m^{2} }{225}

= 2.78m^{2}

the area of the replica is 2.78m^{2}

4 0
2 years ago
Solve the system of equations below x-2y=3 <br><br> 2y-3y=9
Crank
First you solve 2y-3y=9.
2y - 3y = 9 \\ subtract \: 2y \: and \: 3y \\  - y = 9 \\  divide \: by \:  - 1 \\ y =  - 9
Now that you have y, then you substitute y into x-2y=3 to find X

x - 2( - 9) = 3 \\ multiply \:  - 9 \times  - 2 \\ x + 18 = 3 \\ subtract \: 18 \: on \: both \: sides \\ x =  - 15
Your solution is (-15, -9)
6 0
3 years ago
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