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sineoko [7]
3 years ago
12

Find the value of x,y and z. The Diagram is not a scale!

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

x= 76, y = 63  z, 104

Step-by-step explanation:

We can find x since the three angles of a triangle add to 180 degrees

46+58+x = 180

104+x =180

Subtract 104 from each side

x = 180-104

x = 76


x and z form a straight line

x+z =180

76+ z = 180

Subtract 76 from each side

z = 180-76

z = 104


Z, 13 and y make a triangle

z+ 13 +y = 180

104+13+y = 180

117+y=180

Subtract 117 from each side

y = 180-117

y = 63

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Solve -8x + 4 ≤ 36<br><br>A. x ≥ -4<br><br>B. x ≤ 4<br><br>C. x ≥ 4<br><br>D. x ≤ -4
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- 8x + 4 ≤ 36
Subtract 4 from both sides.
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3 years ago
Drag a statement or reason to each box to complete this proof.
alukav5142 [94]

The table to complete the proof is as follows

Equation                                                              statement

1. m∠ABD = 60°, m∠DBC=40°                               Given

2. m∠ABD + m∠DBC = m∠ABC               Angle Addition Postulate

3. 60° +  40° = m∠ABC                           Substitution Property of Equality

4. 100° = m∠ABC                                                  Simplifying

5. ∠ABC is an obtuse angle.                       greater than 90 degrees

6. △ABC is an obtuse triangle.                Definition of obtuse triangle

<h3>What is obtuse angles?</h3>

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For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.

Read more on angles here: brainly.com/question/25716982

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8 0
1 year ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
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First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

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Now, let's add the components of the same direction:

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The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
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