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BabaBlast [244]
2 years ago
14

What is the value of x?

Mathematics
2 answers:
denis-greek [22]2 years ago
8 0

Answer:

x = 17

Step-by-step explanation:

Hi there!

Because this is an isosceles triangle, we know that the angles measuring (x+17°) and (4x+34°) are congruent. Knowing this, we can set up the following equation and solve for <em>x</em>:

x+17 = 4x-34

17 = 3x-34

0 = 3x-51

3x = 51

x = 17

Therefore, the value of <em>x</em> is 17.

I hope this helps!

Vsevolod [243]2 years ago
6 0

<u>Answer</u>:

x = 17°

<u>Explanation</u>:

                    A triangle has total 180° interior angle.

When all angle sum up, they equal to 180°

There are two methods for solving this question:

→ x + 17 + 6x + 10 + 4x - 34 = 180°

→ 11x -7 = 180°

→ 11x = 180° + 7°

→ 11x = 187°

→ x = (187/11)°

→ x = 17°

Or

As the triangle is isosceles, the angles are similar:

x + 17° = 4x - 34°

4x - x = 17° + 34°

3x = 51°

x = 17°

[ Hence x is 17° confirmed ]

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If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m
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The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

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\angle1=2(17)+6\\\angle1=34+6\\\angle1=40

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Answer:

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Step-by-step explanation:

Tan can be defined as: \frac{sin(\theta)}{cos(\theta)} as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.

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