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3 years ago

9

Quadrilateral ABCD is inscribed in this circle.

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 $m \angle D=3(35)+9=114
\\m \angle B=2(35)-4 = 66
\\m \angle A=2(35) + 3=73$
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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What is the expected number of tails when a fair coin is tossed 100 times?

Karo-lina-s [1.5K]

Answer:

50 times

Step-by-step explanation:

Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.

3 0

3 years ago

Read 2 more answers

Solve x²+5x+6=0 by completing the square

Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

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3 years ago

What's the answer for <br> x/2-5=3

kifflom [539]

X=16

I use Tiger Algebra for help and it gives me all the correct work and answers as i need them!! TRY USING IT TODAY!!!!!

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3 years ago

Claire Reagan and Anthony deliver newspapers in the neighborhoods clear deliver 79 papers a day Reagan delivers 2490 papers a mo

Nata [24]

Answer:

90,747

Step-by-step explanation:

Clair delivery=79 per day

Total delivery per year=79×365 days

=28,835

Reagan delivery=2490 per month

Total delivery per year=2490×12 months

=29,880

Anthony delivery= 616 per week

Total delivery per year =616×52 weeks

=32,032

Total delivery altogether in a year=28,835+29,880+32,032

=90,747

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3 years ago

Read 2 more answers

Please help meeee I don't know this

Vanyuwa [196]

Answer:

$\boxed {m = -\frac{5}{7}}$

Step-by-step explanation:

Use the <u>Slope Formula</u> to determine the slope of two given points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

First Point: $(x_{1} , y_{1})$

Second Point: $(x_{2}, y_{2})$

-Substitute both points:

First Point: $(5, 11)$

Second Point: $(19, -1)$

$m = \frac{-1 - 11}{19 - 5}$

-Solve for the slope:

$m = \frac{-1 - 11}{19 - 5}$

$m = \frac{-10}{14}$

$\boxed {m = -\frac{5}{7}}$

Therefore, the slope is $-\frac{5}{7}$

4 0

3 years ago