Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A line segment ACD is shown with triangle ABC drawn so that AC is the base of the triangle. Angle BAC is labeled with 72 degree sign, and angle BCD is labeled with 113 degree sign. Write a list of steps that are needed to find the measure of ∠ B .

Answer:

QO and QN

Step-by-step explanation:

The little lines mean they’re congruent. The arrows tell you PO and MN are paralle. The curved line means the angles are congruent.

Hope that helped!

Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

Answer:

Step-by-step explanation:

4π/3 radians. Triangle A B C has angles labeled as follows: A, (101x + 2) degrees; B, 34x degrees; C, unlabeled. The measure of ∠BCD is 120°. )

Answer:

x is infinite

Step-by-step explanation:

-6x+7=2x+10-8x-3

reduce:

-6x+7=7-6x

7-6x = 7-6x

x = x

x is infinite

Answer:

3%

Step-by-step explanation:

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

Learn more about Tangent and secant here

https://brainly.com/question/15178974

#SPJ2

Answer:

Average speed is 3 kilometers an hour

Answer:

C) $3750

Step-by-step explanation:

We can start by calculating the down payment. To do this we can just simply calculate 25% of 3000, which equals 0.25*3000=7500. Now we can find out how much money it will cost to pay not including the down payment. $125 monthly for 2 years= $125 monthly for 24 months= 125*24= $3000. Finally we add the downpayment and the total cost of monthly payment to get $7500+$3000=$3750.

Answer:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

[tex] \\ [/tex]

Answer:

a is greater than -2

Step-by-step explanation:

Solving a comparison like this is the same as solving an equation, except you need to watch out for the signs of numbers.

Given:

-2a - 12 < -8

The first thing we need to do here is to add 12 to both sides:

-2a - 12 + 12 < -8 + 12

-2a < 4

You'll notice we're just increasing both sides, so the relationship stays the same.

Now we divide both sides by -2.  Because the number is negative, it changes whether the result is greater or less.

-2a < 4

-2a ÷ -2 > 4 ÷ -2

a > -2

Giving us our final answer.

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer:

c

Step-by-step explanation:

Answer:

P(0.8<  p ^ <0.9)≈0.87

Step-by-step explanation:

trust me

The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.

We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.

The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:

SD = √((p × (1 - p)) / n)

Plugging in the values, we get:

SD = √((0.85 (1 - 0.85)) / 120)

= √(0.01225 / 120)

= √(0.0001010417)

= 0.0101

Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.

Therefore, the required probability is approximately 0.919.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer: 30

Step-by-step explanation:

1. Use the Pythagorean theorem ([tex]A^{2} +B^{2} = C^{2}[/tex])

[tex]18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\[/tex]

Step-by-step explanation:

so in this case, you use the pythagoras theorem:

since we don't have a hypotenuse, let's name is H

soo it will be

H= 18 squared + 24 squared

H = 324+ 576

H= 900

so you find the square root of 900 which is 30

so, therefore the answer is 30

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

Answer:

I have no idea , but it is a obtuse / 190 degree angle

Hmmm.... i think its 180 OR 185

Step-by-step explanation:

Answer:

The parallelograms having perpendicular diagonals are square and rhombus so

e. b and d are true.

Hope it will help :)❤

Answer:

I think Rhombus

Step-by-step explanation:

Answer: x=4

Step-by-step explanation:

similar triangle so corresponding parts are similar

[tex]\frac{5}{10} = \frac{2x-1}{14}[/tex]

cross multiply

70 = 20x-10

80 = 20x

x = 4

Answer:

Step-by-step explanation:

25% of $25 = 0.25×$25 = $6.25

½ of $25 = ½×$25 = $12.50

$25 - $6.25 - $12.50 - $6 = $0.25

Answer:

8 < x < 12

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of sides < x < sum of sides , that is

10 - 2 < x < 10 + 2

8 < x < 12

Answer:

x plus 4 divided by 5 minus 9

x + 4 / 5 - 9

Answer:

it's ok no problem take care

Answer:

(2/3*6a) + (2/3*9) = 20.4

a=3.6

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

12*7 = 84

Answer:

84

Step-by-step explanation: 12*7 = 84

Answer:

what they said ^^

Step-by-step explanation:

I did this so no one puts the incorrect answer

Answer:28.7 minutes

Step-by-step explanation:

Answer:

i can.

Step-by-step explanation:

Answer:

just 30 x 1?

Step-by-step explanation: its 30 anything times 1 is the same answer it is multipled by!

Answer:

30

Step-by-step explanation:

Answer:

36.54

Step-by-step explanation:

that's what it is so just do like 36-37

Answer:

45% of 81.2 is 36.54

Step-by-step explanation:

Answer:

range = highest - lowest

x - x = 0

Hope it helps

Please mark me as the brainliest

Thank you

If there are two children in the Patel family. They are twins of the same age. Then zero is  the range of their ages

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

There are two children in the Patel family.

They are twins of the same age.

Let x be the age of two children.

As they are twins so the age of children's is same.

The formula of range is highest minus lowest.

range = highest - lowest

Range=x - x

Range =0

Hence, the range of their ages is 0.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2