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andrey2020 [161]
1 year ago
10

The isosceles trapezoid is part of an isosceles triangle with a 34° vertex angle. What is the measure of an acute base angle of

the trapezoid? Of an obtuse base angle? The diagram is not drawn to scale.
Mathematics
1 answer:
skelet666 [1.2K]1 year ago
5 0
The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. The measure of an acute base angle of the trapezoid is 73 degrees.
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Which expression is equivalent to |a|≤3 ?
weqwewe [10]
<h3>Answer: Choice 2.   a \ge -3 \ \text{ and } \ a \le 3</h3>

=====================================================

Explanation:

The rule is that if |a| \le k for some positive number k, then it can be written as the compound inequality -k \le a \le k. This is a shorthand way of writing the two inequalities a \ge -k \ \text{ and } \ a \le k combined together.

note: -k \le a is the same as a \ge -k

From here, we replace k with 3

Therefore, |a| \le 3 turns into -3 \le a \le 3 which breaks down further to a \ge -3 \ \text{ and } \ a \le 3

The keyword "and" is important as we can't pick one or the other. We must pick both a \ge -3 and also a \le 3

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3 years ago
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Will give BRAINIEST
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Answer:

10 gallons 12 seconds.

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Leviafan [203]

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4 : 20

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2 years ago
What is the slope of the line passing through the points (−1, 3)(−1, 3) and (4, −7)(4, −7) ?
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Slope = -7-3/4+1
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6 0
3 years ago
What is the radius of the circle inscribed in triangle $abc$ if $ab = 12, ac=14, bc=16$? express your answer in simplest radical
GalinKa [24]
The triangle given above is a scalene triangle as non of its given sides are equal. To determine the area of the triangle, we use the Heron's formula which is expressed as below,
    A = sqrt ((s)(s - a)(s - b)(s - c))

where a, b, and c are the lengths of the sides and s is the semiperimeter ((a+b+c)/2)

The area of the triangle can also be computed through the equation, A = rs
where r is the radius of the inscribed circle. Equating both areas,
     A = sqrt ((s)(s-a)(s-b)(s-c)) = rs
Divide the equation by s,
      r = sqrt ((s)(s-a)(s-b)(s-c)) / s


Solving for s,
    s = (12+14+16)/2 = 21

Substituting to the equation for r,
    r = sqrt ((21)(21-12)(21-14)(21-16)) 21
    r = sqrt 15
    r = 3.87

<em>ANSWER: r = 3.87</em>
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