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zaharov [31]
4 years ago
13

Determine the value of x in the figure. Question 1 options: A) x = 90 B) x = 85 C) x = 45 D) x = 135

Mathematics
1 answer:
Anna35 [415]4 years ago
3 0

Answer:

A.) x=90°

Step-by-step explanation:

Note:

The triangle shown is an isosceles triangle, which means that it has 2 congruent sides (as shown by the small intersecting lines), and this also means that it has two congruent angles.

We are given an angle measure adjacent to one of the missing angles. These two form supplementary angles, which means that they're sum is equal to 180°, or a straight line. So, to find:

180=135+y

y is the unknown angle. Solve for y:

180-135=y\\\\y=45

y is 45°. Since this and the other angle are congruent, add:

45+45=90

Note:

Triangles angles will always add up to a total of 180°.

To find the missing angle x°, use:

180=a+b+c

These are the angles in a triangle. Substitute any known values and solve:

180=45+45+x\\\\180=90+x\\\\180-90=x\\\\x=90

The missing angle x° is 90°.

:Done

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Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can
jek_recluse [69]

Answer:

0.278

Step-by-step explanation:

Given that Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can be used. B box has three keys but only one can be used. C box has two keys but none of them can be used.

Each box is equally likely to be selected.

In other words

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If A is selected then probability of winning is using the correct key out of two keys i.e. 0.5

If B is selected then probability of winning is using the correct key out of three keys i.e. 0.333

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So the probability that Nuri can win the car

= \frac{1}{3} *0.5+\frac{1}{3} *0.333+\frac{1}{3} *0\\= 0.278

6 0
3 years ago
Angle θ lies in the second quadrant, and sin θ = .
nata0808 [166]

Answer:

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We will find the trigonometric ratios for the angle 210∘, which lies in the third quadrant. In this quadrant, the sine and cosine ratios are negative and the tangent ratio is positive.

To find the sine and cosine of 210∘, we locate the corresponding point P in the third quadrant. The coordinates of P are (cos210∘,sin210∘). The angle POQ is 30∘ and is called the related angle for 210∘.

Step-by-step explanation:

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vladimir2022 [97]
I believe the answer to this question is A
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4 years ago
2. State the domain for the following ordered pairs: { (4, -2), (6, -7), (4, 3), (-8, 1), (-3, 5) } *
Fofino [41]

Answer:

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Step-by-step explanation:

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I believe the correct answer is c.
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