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DENIUS [597]
3 years ago
5

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

epresents the translation? After the translation, what are the coordinates of vertex C?
A) (x, y) → ( x + 3, y + 4); (11, 7)
B) (x, y) → (x − 4, y + 3); −6, 7)
C) (x, y) → ( x − 3, y − 4); (5, −1)
D) (x, y) → (x − 2, y − 1); (−5, 7)
Mathematics
1 answer:
Anarel [89]3 years ago
5 0
4 units down => y - 4
3 units left => x - 3
=> C
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a. The value of x is 7

b. The measure of ∠1 is 99°

<h3>Calculating angles </h3>

From the question, we are to solve for x

From the given diagram, we can write that

m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)

From the given information,

m∠NMQ = 5x +19

m∠MQN = 8x -11

m∠QNM = 11x + 4

Then,

5x + 19 + 8x -11 + 11x + 4 = 180

Collect like terms

5x + 8x + 11x = 180 - 19 + 11 - 4

24x = 168

∴ x = 168/24

x = 7

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Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)

∴ Measure of ∠1 = 180° - m∠QNM

But m∠QNM = 11x + 4

∴ m∠QNM = 11(7) + 4

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m∠QNM = 81°

Then,

Measure of ∠1 = 180° - 81°

Measure of ∠1 = 99°

Hence, the measure of ∠1 is 99°

Learn more on Calculating angles here: brainly.com/question/25716982

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