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elena-14-01-66 [18.8K]
3 years ago
14

Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc

B A D is 360 – a°. Because of the ________ theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
Mathematics
2 answers:
zepelin [54]3 years ago
5 0

Answer:

A

Step-by-step explanation:

inscribed angle

lesya [120]3 years ago
4 0

Answer:

A. Inscribed Angle

Step-by-step explanation:

Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!

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Newton's first law of motion applies only to objects that are already moving.<br> O True<br> O False
larisa [96]

Answer:

false

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is 85/95 greater than 64/76
madam [21]
85/95 is equal to 0.8947
64/76 is equal to 0.842
Therefore, 85/95 is greater
5 0
3 years ago
Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol
nordsb [41]

The ODE has an equilibrium point at

\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba

We want y=2 to be an unstable equilibrium solution - in other words, we want all solutions with initial condition y(t_0)=c for c near 2 to diverge from y=2 - so -dfrac ba=2.

Divergence from y=2 would require that for y>2, any solution is increasing, and for y, and solution is decreasing. In order for that to happen, we need

\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba

if y>2, and

\dfrac{\mathrm dy}{\mathrm dt}=ay+b

if y.

Now we just pick a,b to satisfy these conditions. An easy choice is a=1, which forces b=-2, so that one possible ODE would be

\dfrac{\mathrm dy}{\mathrm dt}=y-2

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0
3 years ago
tony bought 288 1 inch nails and 5 boxes of 2 inches. each box of 2 inch nails had equal amount of nails in them. he bought a to
Vitek1552 [10]

Answer:

each box has 52 in it

Step-by-step explanation:

first you subtract 288 from 548  =260

this is the total number of nails minus the total 1 inch nails

then you divide 260 by 5 because he has five boxes of 2 inch names which means that you have to account for the even number of nails in each box

6 0
3 years ago
Read 2 more answers
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
allochka39001 [22]

Answer:

a) The test statistic is z = -2.51

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

H_a: p_{B} - p_{NY} < 0

While the null hypothesis is:

H_0: p_{B} - p_{NY} = 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that X = 0.581 - 0.832 = -0.251

0 is tested at the null hypothesis:

This means that \mu = 0

Standard error = 0.1

This means that s = 0.1

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-0.251 - 0}{0.1}

z = -2.51

The test statistic is z = -2.51

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

5 0
3 years ago
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