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4 years ago

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

Mathematics

2 answers:

Paul [167]4 years ago

8 0

∡E + ∡D = 180°
∡E = 54° } => ∡D=180°-54°=126°

∡D+∡G+∡H=180°
∡D=126°
∡G=29° } => ∡H=180°-(126°+29°)=180°-155°=25°

MrRissso [65]4 years ago

5 0

From the figure, you can say that angle E is equal to angle C because they both are vertically opposite. So, you can find angle D by substracting angle E and D from 360° (sum of angles at a point) and dividing the answer by two:
360°-54°-54° = 252°
252°÷2 = 126°
Then, you can find angle H by substracting the values of angle G and angle D from 180° (sum of angles in a triangle):
180°-126°-29° = 25°
Therefore, the answer is 25°.
I hope this answered your question :)

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AveGali [126]

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4 years ago

A factory produces bottled water at a rate of 2,000 cases per hour. They know that 1.14% of the cases must be rejected because a

IRINA_888 [86]

1.14 per 100 or 1.14:100 or $\frac{1.14}{100}$

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4 years ago

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Flauer [41]

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5 0

4 years ago

23.85 + 7.42 + 16.15

kramer

Answer:

47.42

Step-by-step explanation:

Try solving this way

23.85

+07.42

+16.16

=======

47.42

4 0

3 years ago

Please help me with this question!! I also need the steps

e-lub [12.9K]

Hi there!

$\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}$

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

8 0

3 years ago