Use the picture below to answer questions 13a and 13b.

13a) What is the measure, in degrees, of angle 1? Explain how you determined the measure of angle 1.

13b) What is the measure, in degrees, of angle 2? Explain how you determined the measure of angle 2

Answer:

2 sq rt 33

Step-by-step explanation:

1st step:  subtract one, each side

(radical 2/3)r = 22

2nd step:  set up a proportion

(radical 2/3)r = 22

3rd step:  cross-multiply

radical 2*r = 66

4th step:  solve for 'r'

r = 66 / radical 2

5th step:  rationalize the denominator

multiply numerator and denominator by radical 2

6th step:  simplify

(66[tex]\sqrt{2}[/tex]) / 2 = 33 [tex]\sqrt{2}[/tex]

Answer:

88$

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!

Also I did this question myself and this was correct. :D.

Answer:

A. Point H is the center of the circle that passes through points D, E, and F.

C. Line segment H E is-congruent-to line segment H D

Step-by-step explanation:

The center of a circle is a point within it that has the same distance to all other points on its circumference.

Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.

It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.

The correct options in the given question are: A and C.

Answer:

A. Point H is the center of the circle that passes through points D, E, and F

C. HC≈HD

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

https://brainly.com/question/25882965

Answer:

zero slope

Step-by-step explanation:

its not goin up or down so there is no slope:)

also look below :)

Answer:

- 121 7/24

Step-by-step explanation:

Initial Position = 66 2/3 below sea level

Ascent = 24 1/8

Descent = 78 3/4

New position of submarine :

Since initial. Position is below sea level, we finite with a negative sign :

-66 2/3 = - 200 /3

Ascent is positive ; 24 1/8 = 193 / 8

-200 /3 + 193 / 8

(-1600 + 579) / 24

= - 1021 / 24

Descent = 78 3/4 (negative) downward

78 3/4 = - 315/ 4

-1021 / 24 - 315/4

(-1021 - 1890) / 24

= - 2911 / 24

= - 121 7/24

121 7/24 below sea level

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

y + 7 = ⅔x + 2

y = ⅔x + 2 - 7

y = ⅔x - 5

Answer:

a=7 i think

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

using pemdas, you add the () first which gives you 3. then going in order you divide 6 by 2 which gives you 3. then your left with 3 times 3 which is 9

Answer:

1

Step-by-step explanation:

When solving an expression with different operations, we evaluate:

1. Brackets (This has to take the top priority in any expression with brackets, do the divisions and multiplications in the brackets first before the additions and subtractions if any)

2. Divisions and Multiplication (Do from left to right)

3. Addition and Subtraction (Do from left to right)

6 ÷ 2(1+2) = 6 ÷ 2(3)

                = 6 ÷ 6

                = 1

Answer:

(-infinity, infinity)

(-infinity, infinity) ... for both graph below

Step-by-step explanation:

An imaginary number is denoted by i.

The value of i is √-1.

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

An imaginary number is denoted by i.

The value of i is √-1.

We have,

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

Now,

3i (5 - 3i)

Removing the parenthesis.

= (3i x 5) - (3i x 3i)

= 15i - 9(-1)

= 15i + 9

= 9 + 15i

This is in the form of a + bi

Thus,

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ2

Answer:

D, 8

Step-by-step explanation:

x=3

x + 5

(3) + 5

=8

Answer:

$61.25

Step-by-step explanation:

Given that:

There are 5 persons (Martha and 4 other friends)

Fee for admission for each person = $3.50

Price for snacks for each person = $2.50

Price for drinks for each person = $1.50

Price for frappucino for each person = $4.75

All the money was paid by Martha.

To find:

Total money paid by Martha.

Solution:

First of all, let us find the total cost for one person.

Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25

There are a total of 5 persons.

Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25

Total money paid by Marth = $61.25

Answer:

GGGG

Step-by-step explanation:

GGGGG

Answer:

20

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

its an ocosilse triangle cause of the 1 apat distance so 16 is the anser

Answer:

the 3rd angel is 120

the two exterior angels can be, 60 and 152

Step-by-step explanation:

the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.

the exterior angel is gained by adding two nonadjacent angles or the remote angels.

Answer:

-16/7

Step-by-step explanation:

7x+16=0

7x=-16

x=-16/7

Answer:

are you solving for x? if not lemme know how to solve it and ill edit my answer

Step-by-step explanation:

7x+16=0

-16       -16

7x=-16

/7     /7

x= -16/7

i am in algebra two so i can help

Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

Let us use the information above to solve the question

∵ f(x) = [tex]1.5^{x}[/tex]

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

∴ f(x) is not a quadratic function

∵ g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

∴ g(x) is a quadratic function

Answer:

f=2

Step-by-step explanation:

hope this helps you

Answer:

The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875

Step-by-step explanation:

The given parameters are;

The number of students in the sample, n = 8

The number of the students, x, that exhibit higher IQ's than the median = 5

The probability of obtaining the given result by chance is given as follows;

P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ

The probability that a student exhibit higher IQ's than the median = 0.5 = p

Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q

Substituting the known values, gives;

P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875

Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.

Answer:

The percentage of people who are satisfied with this car model is 30%.

Step-by-step explanation:

Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :

1,900 = 100

570 = X

((570 x 100) / 1,900) = X

57,000 / 1,900 = X

30 = X

Therefore, the percentage of people who are satisfied with this car model is 30%.

Answer:

a. x = 9 + 4y

b. x = (7y-2)/6

c. x = (17 + k)/4

d. x = (9-c)/k

Step-by-step explanation:

In each of the equations, we want to make x the formula subject

a) 3x-12y = 27

3x = 27 + 12y

3x = 3(9 + 4y)

x = 9 + 4y

b) 6x-7y = -2

6x = 7y-2

x = (7y-2)/6

c) 4x - k = 17

4x = 17 + k

x = (17 + k)/4

d) kx + c = 9

kx = 9-c

x = (9-c)/k

Step-by-step explanation:

56 + 32

= 8 * 7 + 8 * 4

= 8(7 + 4)

= 8 * 11

= 88.

Answer:

D; 85 leaves

Step-by-step explanation:

From what we can see, each 4 days there is a growth of an additional 9 leaves

So for the 20th day, we can see 58

The difference between the 20th and 32nd day is 12

The number of 4s we can see here is 12/4 = 3

For each 4, we can count extra 9 leaves

So for the 12, the number of leaves we can count is 3 * 9 = 27

we proceed to add this to 58

That will yield 58 + 27 = 85

It's c Bye bye have a amazing day

Answer:

(-9.5, 6.75)

Step-by-step explanation:

I inputted both equations on the desmos website and they met at this point

Answer:

- 23

Step-by-step explanation:

We could do this the long way and expand the whole product or note that the [tex]a^{4}[/tex] terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is

4a³ × 3a = 12[tex]a^{4}[/tex]

+ 5a² × - 7a² = - 35[tex]a^{4}[/tex]

Summing gives

12[tex]a^{4}[/tex] - 35[tex]a^{4}[/tex] = - 23[tex]a^{4}[/tex]

with coefficient - 23

The only pairs that will give you some multiple of [tex]a^4[/tex] are:

[tex]4a^3\cdot (3a),\quad 5a^2\cdot(-7a^2)[/tex]

their values are respectively

[tex]12a^4,\quad -35a^4[/tex]

and their sum is [tex]-23a^4[/tex]