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atroni [7]
3 years ago
9

Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
2 answers:
Fofino [41]3 years ago
7 0
By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary.  This means that \angle D \text{ and } \angle B are supplementary, or add up to 180°.  This gives us the equation
(3<em>x</em> + 9)° + (2<em>x</em> - 4)° = 180°
Combine like terms:
5<em>x</em> + 5 = 180
Subtract 5 from each side:
5<em>x</em> + 5 - 5 = 180 - 5
5<em>x</em> = 175
Divide both sides by 5:
5<em>x</em>/5 = 175/5
<em>x</em> = 35
This means that m \angle D=3(35)+9=114&#10;\\m \angle B=2(35)-4 = 66&#10;\\m \angle A=2(35) + 3=73
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°<em />
enot [183]3 years ago
6 0

Answer:

62 is the answer for my k12 freinds

Step-by-step explanation:

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A pyramid shaped building is 311 feet tall and has a square base with sides of 619 ft. The sides of the building are made from r
zmey [24]

Answer:

Surface area of the reflective glass is 543234.4 square feet.

Step-by-step explanation:

Given that: height = 311 feet, sides of square base = 619 feet.

To determine the slant height, we have;

l^{2} = 311^{2} + 309.5^{2}

   = 96721 + 95790.25

   = 192511.25

⇒ l = \sqrt{192511.25}

      = 438.761

The slant height, l is 438.8 feet.

Considering one reflecting surface of the pyramid, its area = \frac{1}{2} × base × height

  area =  \frac{1}{2} × 619 × 438.8

          = 135808.6

          = 135808.6 square feet

Since the pyramid has four reflective surfaces,

surface area of the reflective glass = 4 × 135808.6

                                                          = 543234.4 square feet

4 0
2 years ago
In a high school, 7% of the students play the piano. This is 21 students. Choose the expressions that complete each step involve
Gnesinka [82]

Hello,

<u>Set up a proportion</u> :

7 → 21

100 → ?

<u>Cross multiply</u> :

100 * 21 / 7 = 300 students

Bye :)

7 0
3 years ago
What is the speaker’s viewWhen I heard the learn'd astronomer;
Phantasy [73]
A. He feels tired and sick because the focus on the mechanical measurements of stars is not satisfying to him.<span>
</span>
4 0
3 years ago
Multiply or divide to find two equivalent fractions of 1/2
patriot [66]

Answer:

3/6 and 5/10

Explanation:

Given the fraction 1/2:

(a)Multiply the numerator and denominator by 3

\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}

An equivalent fraction is 3/6.

(b)Multiply the numerator and denominator by 5:

\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}

An equivalent fraction is 5/10.

4 0
1 year ago
Read 2 more answers
The measure of the vertex angle of an isosceles triangle is 92. Find the measure of a base angle
Andrej [43]

Answer:

44°

Step-by-step explanation:

The sum of the angles in a triangle = 180°

In an isosceles triangle the base angles are equal, thus

base angle = \frac{180-92}{2} = \frac{88}{2} = 44°

6 0
3 years ago
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