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Sati [7]
3 years ago
7

A star-patterned quilt has a star with the angles shown. What is the value of X? The diagram is not to scale.

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0
I want to say 81°

Here's how I found that:

The angle 105° is on a straight line showing the outer obtuse angle. A straight line is 180°.
180-105=75.
Therefore that inner angle of the 105° is 75°.

We are also given the top angle of 24°.

All 3 angles of a triangle should add up to 180. So, we get the 75+24=99
180-99=81

Last angle should be 81°
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Alex777 [14]

Answer:

By AA

ΔWXY ~ΔWVZ

Step-by-step explanation:

Here WXY is an isosceles triangle with legs WX & WY

So WX = WY

Hence ∠X = ∠Y

So ∠2= ∠3.

Now by angle sum property

∠1 + ∠2+∠3 = 180°

∠1+∠2+∠2=180°

2∠2 = 180° - ∠1     .......(1)

In triangle WVZ

WV = WZ

So ∠V = ∠Z

∠4 = ∠5

Once again by angle sum property

∠1 + ∠4 + ∠5=180°

∠1 + ∠4 + ∠4 = 180°

2∠4 = 180° - ∠1       ...(2)

From (1) & (2)

2∠2 = 2∠4

∠2=∠4

Now ∠W is common to both triangles

Hence by AA

ΔWXY ~ΔWVZ

8 0
3 years ago
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Which ratio forms a proportion with 18/27
JulsSmile [24]

Answer:

\frac{2}{3}

Step-by-step explanation:

The given ratio is \frac{18}{27}

9 is the common factor of 18 and 27

divide numerator and denominator by 9

\frac{18/9}{27/9} =\frac{2}{3}

hence \frac{2}{3} is proportion with \frac{18}{27}

6 0
3 years ago
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frez [133]

Answer:

-1

Step-by-step explanation:

The midline is the average of the maximum and minum.

0.5 = (y + 2) / 2

1 = y + 2

y = -1

The minimum is at y=-1.

5 0
4 years ago
In 2015 there were 759 laptops at lightning high school starting a 2016 the school box 75 more laptops at the end of each year t
nikdorinn [45]

Answer:

Step-by-step explanation:

Given the following :

Number of laptops in 2015 = 759

t(x) = 75x + 759 ; model to determine number of laptops at the school. X years after 2015.

Number of laptops in the school in 2020:

4 0
4 years ago
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Ivanshal [37]

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

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3--4 = 7

3 0
3 years ago
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