Answer the following questions using what you've learned from this unit. Write your
answers in the space provided. Be sure to show all work.
CLASSIFY and MEASURE TRIANGLES
1. Find angle measures and use angles to classify triangles.
Part I: Find the missing angle measure in each triangle. Show your work.
(3 points, 1 point each)
AAN
50"
В
A
mC
m B
mA

Answer:

t = 3.69 ≈ 3. 7 years

Step-by-step explanation:

Given :

P = 10,000

r = 5%= 0.05

A = 12,000

n = 2 ( because it is compounded semi - annually )

  [tex]A = P (1 + \frac{r}{n})^{nt}\\[/tex]

[tex]12000 = 10000(1 + \frac{0.05}{2})^{2 t}\\\\1.2 = ( 1 + \frac{0.05}{2})^{2t}\\\\1.2 = (1.025)^{2t}\\\\log \ 1.2 = 2t \ log \ 1.025\\\\2t = \frac{log 1.2 }{log 1.025} \\\\2t = \frac{0.1823}{0.0247}\\\\2t = 7.3805\\\\t = 3.69[/tex]

Answer:

AB/DB = CB/EB

Step-by-step explanation:

This is the answer on Pluto. I got lucky when I guessed

The solution is given below.

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

Here  given:  

AB II DE, AC = CE

Now, in ΔABC and ΔEDC

As,  AB II DE (given)

⇒∠BAC = ∠CED   (Alternative pairs of angles)

and  ∠ABC = ∠CDE  (Alternative pairs of angles)

and AC = CE (given)

So, by the congruent  property of AAS

(ANGLE ANGLE SIDE) which states that two triangle are congruent if two angles and one side of one triangle is equal to the two angles and one side of the other triangle.

                               ΔABC ≅  ΔEDC

to learn more on alternate angle click:

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complete question:

Given: AB II DE, AC = CE

Prove: A ABC = A EDC

Answer:

Rewrite in vertex form and use this form to find the vertex

Rewrite in vertex form and use this form to find the vertex

(h,k).(−3,9)

Step-by-step explanation:

1 5

12 1 121

1

121

13

O A. 27

ОВ.

COIN

OC. .

12

OD. ????????????????

Median of the given data is 8.5.

In statistics, the median is the middle value of the given list of data in order. Data or observations can be sorted in ascending or descending order.

Given data,

1 , 5, 12, 1, 121, 1, 121, 13

Arranging in ascending order

1, 1, 1, 5, 12, 13, 121, 121

Number of elements N = 8

When number of elements is odd

Median = (N/2 th term + (N/2)+1 th term)/2

Median = (8/2 th term + (8/2)+1 th term)/2

Median = (4th term + 5th term)/2

Median = (5+12)/2

Median = 17/2

Median = 8.5

Hence, 8.5 is the median of the given data.

Learn more about median here:

https://brainly.com/question/28060453

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Answer:

m = +/- 12

Step-by-step explanation:

A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).

When we plug in what we know, we have:

m^2 - 4(18)(2) = 0.

Then using algebraic properties, solve for m.

m^2 - 144 = 0

m^2 = 144

m = +/- 12

When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.

Answer: C

Step-by-step explanation:

EDGE 2023

Answer:

Daniel traveled further by 2.73 miles

Step-by-step explanation:

To find the total distance traveled simply multiply average speed times time

For Wendy

She traveled for 3.9 hours at a speed of 68.3 mph

So total distance traveled = 3.9 * 68.3 = 266.37 miles

For Daniel

He traveled for 4.5 hours at a speed of 59.8 mph

So total distance traveled = 4.5 * 59.8 = 269.1 miles

As you can see Wendy traveled 266.37 miles and Daniel traveled 269.1 miles

Daniel traveled further

To find how much further we simply subtract distance Daniel traveled (269.1) from distance Wendy traveled (266.37)

269.1 - 266.37 = 2.73

So Daniel traveled further by 2.73 miles

Answer:

it's the last one, the function is decreasing from x=-3 to x=-1

Answer:

[tex] \frac{4x - x}{2x - x} \\ = \frac{x(4 - 1)}{x(2 - 1)} \\ = \frac{3}{1} \\ = 3[/tex]

Answer:

[tex]\frac{7x}{3} \\[/tex]-[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

-5 =x

Step-by-step explanation:

0 = In(x + 6)

Raise each side to base e

e^0 = e^ ln (x+6)

1 = x+6

Subtract 6 from each side

1-6 = x

-5 =x

Answer:

D. ✔ 28

Step-by-step explanation:

E 2021

Answer:

A

Step-by-step explanation:

Answer:

use app Gauthmath its will give you the answer

Answer:

$3.50

Step-by-step explanation:

Given:

$10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise

P(6) = 1/6 ; p(5) = 1/6 ; p(4) = 1/6 ; p(1,2or3) = 3/6 = 1/2

P(x) ____ 1/6 _____ 1/6 _____1/6 _____1/2

x______ 10 _______ 7 _____ 4 _______ 0

Expectwd value ; E(x)

Σx*p(x) = (1/6 * 10) + (1/6 * 7) + (1/6 * 4) + (1/2 * 0)

E(x) = 3.50

Answer:

The mean is [tex]\mu = 69.25[/tex]

Step-by-step explanation:

We are given the following distribution:

P(x = -500) = 0.076

P(x = -250) = 0.191

P(x = 0) = 0.265

P(x = 250) = 0.316

P(x = 500) = 0.152

Find the mean, µ for the probability distribution.

To find the mean, we multiply each outcome by its probability. So

[tex]\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25[/tex]

The mean is [tex]\mu = 69.25[/tex]

Answer:

20

Step-by-step explanation:

Let father's age be x

let son's age be y

x + y = 60 - (eq 1)

Six years ago,

(x - 6) = 5(y - 6) -(eq 2)

From (1)

x = 60-y

Therefore, 60-y - 6= 5y - 30

y = 14

in six years, y = 20

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

64 + 36 = 100.

the square root of 100 is 10 so the length of the hose is `10.

Answer:

Step-by-step explanation:

LA EDUCACION ES IMPIRTANTE YA QUE PROMUEVE UN MEJOR DESARROLLO DE LOS NIÑOS,NIÑAS Y ADOLESCENTES QUE LOS HACE FOMENTAR UN VINCULO MUY ESPECIAL CON SUS MAESTROS,COMPAÑEROS QUE LOS HACE SENTIR QUE SON PARTE DE SU FAMILIA ADEMAS ELLOS PASAN LA MAYORIA DE TIEMPO EN LA ESCUELA QUE LOS HACE SENTIRSE MÁS CÓMODOS COMO SI FUERA SU PROPIO HOGAR

Answer:

4 peaches

Step-by-step explanation:

$20/5 = 4 peaches

Answer:

It discusses the role of the God in influencing our decisions

Answer:

I believe it is choice D

Step-by-step explanation:

in the excerpt it talks about how sight gives us the ability to observe and experience. it also states "we prefer sight to almost everything else." hope I'm right! ☺️

Answer:

it is a parabola with max of -4

so domain (-∞,∞)

Step-by-step explanation:

9514 1404 393

Answer:

  y = 4x + 16

Step-by-step explanation:

You can replace the point coordinates in the given point-slope form to get ...

  y - 32 = 4(x -4)

Then rearrange to put this into slope-intercept form.

  y = 4x -16 +32 . . . . eliminate parentheses, add 32

  y = 4x +16 . . . . . . . . simplify

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4.27\text{cm} \approx\boxed{4\text{cm}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Recall the Rounding Rules:

⸻⸻⸻⸻

[tex]\underline{4.27cm}\\\\\rightarrow2\leq 4\\\\\boxed{4.27cm \approx 4cm}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

6

Step-by-step explanation:

work out the brackets first....4+8=12

the multiply 1/2 by 12

1/2 x 12 = 6

Answer:

A math SAT score of 693 is 1.5 standard deviations above the mean

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean µ = 520 and population standard deviation = 115.

This means that [tex]\mu = 520, \sigma = 115[/tex]

What math SAT score is 1.5 standard deviations above the mean?

This is X when [tex]Z = 1.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.5 = \frac{X - 520}{115}[/tex]

[tex]X - 520 = 1.5*115[/tex]

[tex]X = 693[/tex]

A math SAT score of 693 is 1.5 standard deviations above the mean

Answer:

1/2

Step-by-step explanation:

This line is going up towards the right- that makes it positive. It is increasing. So it can't be negative or going "down"

The question wants to see if you know the direction of the line.

Answer:

16 (sixteen) is 6 divided by 3/8.

9514 1404 393

Answer:

  m∠3 = 63°

Step-by-step explanation:

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. The obtuse and acute angles are supplementary.

Angle 1 is an obtuse angle; angle 3 is an acute angle.

  angle 3 = 180° - angle 1 = 180° -117° = 63°

The measure of angle 3 is 63°.

_____

Additional comment

There are a number of applicable theorems describing the different angle relationships. Taken together, they are summarized by the first statement above. For example, we could declare angles 1 and 4 to be "corresponding" (hence, congruent), and angles 4 and 3 to be a "linear pair", hence supplementary. The net result is that angle 1 is supplementary to angle 3, as we said above.

We could also get there via relations between alternate exterior angles, alternate interior angles, consecutive exterior or interior angles, and other ways. While that terminology is useful to understand in some problems, it is largely irrelevant here.

Answer:

y=2x+14

Step-by-step explanation:

y=2x+2.3+8=2x+14