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Arte-miy333 [17]
3 years ago
15

1 Solve for x in the triangle below. Show your work! 2 84 Xº Y N

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

x = 48°

Step-by-step explanation:

In the given triangle XYZ,

Sides XY and XZ are congruent.

Therefore, both the sides will be equal in measure.

By the definition of isosceles triangle,

"Opposite angles of the equal sides are equal in measure"

m∠Y = m∠Z = x°

m∠X = 84° [Given]

By the triangle sum theorem,

m∠X + m∠Y + m∠Z = 180°

84° + x° + x° = 180°

2x = 180 - 84

x = 48°

Therefore, measure of x = 48° will be the answer.

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Step-by-step explanation:

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6 0
3 years ago
Please help me put them in correct place
REY [17]

The inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

<h3>Writing linear inequalities </h3>

From the question, we are to match the statements with the corresponding inequalities

  • Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall

x ≤ 100 -5

x ≤ 95

  • Temperature(x) is greater than the boiling point of water (100 °C)

x > 100

  • John buys x chocolates worth $5 each but he has only $100 in his pocket

5x ≤ 100

  • Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day

x ≤ 100

and

x ≥ 1/5 × 100

x ≥ 20 ≡ 20 ≤ x

∴ 20 ≤ x ≤100

Hence, the inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

Learn more on Writing inequalities here: brainly.com/question/1447311

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5 0
2 years ago
If perimeter of rectangle is 344 yards the length is 8 what is the dimension
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Dimension= width

So,

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I hope this helps!
~cupcake
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4 years ago
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