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Lemur [1.5K]
3 years ago
13

Work out the size of angle x

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

x = 117 degrees

This problem makes use of the Remote Exterior Angles and Supplementary Angles.  First, use supplementary angles to determine That the bottom right angle of the triangle is 79 degrees.  Remote Exterior Angles states that a remote exterior angle is equal to the sum of both remote interior angles.  Thus, x = 79 + 38, or x = 117

Hope it helps <3

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sertanlavr [38]

Answer:

Step-by-step explanation:

Simplify ——————

3x - 1

Equation at the end of step 1 :

(6x - 1)

y - ———————— = 0

3x - 1

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using (3x-1) as the denominator :

y y • (3x - 1)

y = — = ————————————

1 (3x - 1)

7 0
3 years ago
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

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<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
3 years ago
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Dafna1 [17]
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7 0
3 years ago
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Mandarinka [93]

Answer:

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Step-by-step explanation:

We have two points so we can find the slope

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We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

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4 0
3 years ago
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pav-90 [236]

Answer:

The rule for the transformation is (x, y) + (-X, -Y)

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The coordinates will change accordingly

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and

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So the correct statements are:

The rule for the transformation is (x, y) + (-X, -Y)

The coordinates of L'are (-2,-2).

The coordinates of N' are (-1,-6) ..

8 0
3 years ago
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