Answers
Based on the exterior angle theorem, where the outside angle is the sum of the two remote interior angles
hope this helps
Related Questions
Find the slope and y intercept
Answers
11 = 3(1) + b
b = 11 - 3
b = 8
y = 3x + 8 is the equation, slope of 3 and y-intercept is 8.
How to solve quadratic inequalities algebraically?
Answers
Solve ( x – 3)( x + 2) > 0.
Solve ( x – 3)( x + 2) = 0. By the zero product property,
Make the boundary points. Here, the boundary points are open circles because the original inequality does not include equality (see Figure 1).
Select points from the different regions created (see Figure 2).
See whether the test points satisfy the original inequality.
Since x = –3 satisfies the original inequality, the region x < –2 is part of the solution. Since x = 0 does not satisfy the original inequality, the region –2 < x < 3 is not part of the solution. Since x = 4 satisfies the original inequality, the region x > 3 is part of the solution.
Represent the solution in graphic form and in solution set form. The graphic form is shown in Figure 3.
The solution set form is { x| x < –2 or x > 3}.
Figure 1. Boundary points.Figure 2. Three regions are created.Figure 3. Solution to Examplesimplify (8x3-5x-1)-(7x2+6x-10)
Answers
(19x-1)-(8x-10)
19x1-8x+10
11x+9
how do I do this problem ??
Answers
what's 4/5 + 6/5 equals
Answers
F(x) =8+2x and g(x) =1/2x the value of f/g(5)
Answers
(f/g)(5) = (f(5))/(g(5)) = (-8+2(5))/((1/2))(5) = 2/(5/2)
(f/g)(5) = 4/5
What is the answer and steps?
Answers
Franklin waters' annual gross pay is $55,400. He takes a married exemption of $4,000. His state income tax rate is 3.5 percent. How much will he pay annually in state tax?
Answers
41,000/ 3.5%= 1799
so he will pay 1,799$
simplify
3m^-2
over
5n^-3
Answers
--------- = -----------
5n^-3 5m^2
hope it helps
[tex]\frac{x^m}{x^n}=x^{m-n}[/tex]
[tex]x^{-m}=\frac{1}{x^m}[/tex]
[tex]\frac{3m^{-2}}{5n^{-3}}=[/tex]
[tex]frac{\frac{3}{m^2}}{\frac{5}{n^3}}=[/tex]
[tex]\frac{3n^3}{5m^2}[/tex]
I’m stuck on this, what would be the answer?
Answers
PLEASE HEP ME ANSWER THIS REALLY HARD QUESTION
Answers
When the a value is positive, the parabola has a minimum and opens up. However, when the a value is negative, the parabola is upside down in comparison. It open downward and has a maximum point instead.
Final answer: A
How do you make $2.161616 as a fraction and a mixed number
Answers
Which names are correct for PM−→− ?
Select each correct answer.
PY−→−
MP−→−
TM−→−
PT−→−
Answers
Therefore, another name for PM is angle MP.
The answers are PT−→− and PY−→−
Translate each word phrase into an algebraic expression.
The perimeter of a rectangle 24 units long and w units wide.
Answers
If there are 62 values in a data set, how many classes should be created for a frequency histogram?
Answers
WHAT THE VALUE OF 12.5X10 7
Answers
Given: quadrilateral ABCD inscribed in a circle Prove: ∠A and ∠C are supplementary, ∠B and ∠D are supplementary Let the measure of = a°. Because and form a circle, and a circle measures 360°, the measure of is 360 – a°. Because of the ________ theorem, m∠A = degrees and m∠C = degrees. The sum of the measures of angles A and C is degrees, which is equal to , 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?
Answers
Quadrilateral ABCD is inscribed in a circle. Let the measure of arc BAD be a°. Arcs BCD and BAD form a circle and a circle measures 360°, then measure of arc BCD is 360°-a°.
The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle.
Because of the Inscribed angle theorem,
[tex]m\angle A=\dfrac{a^{\circ}}{2};[/tex]
[tex]m\angle C=\dfrac{360^{\circ}-a^{\circ}}{2}.[/tex]
The sum of the measures of angles A and C is
[tex]\dfrac{a^{\circ}}{2}+\dfrac{360^{\circ}-a^{\circ}}{2}=180^{\circ}.[/tex]
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°.
Answer: inscribed angle theorem
Answer:A
Step-by-step explanation:
Inscribed angle
A toy factory creates handmade train sets. One train car takes 0.4 hours to construct and 0.6 hours to paint. A section of wooden track requires 0.2 hours to construct and 0.1 hours to paint. A full train set with x train cars and y sections of wooden track takes 5.2 hours to construct and 4.2 hours to paint. Which system of equations can be used to find the number of train cars and number of sections of wooden track in a full train set?
Answers
0.4x + 0.2y = 5.2.....this one deals with the constructing
0.6x + 0.1y = 4.2 ....this one deals with the painting
To find the number of train cars and sections of wooden track in a full train set, we can set up a system of equations. The equations are 0.4x + 0.2y = 5.2 and 0.6x + 0.1y = 4.2.
Explanation:To find the number of train cars and number of sections of wooden track in a full train set, we can set up a system of equations based on the given information.
Let's use x to represent the number of train cars and y to represent the number of sections of wooden track.
The time to construct 1 train car is 0.4 hours, so the time to construct x train cars is 0.4x hours.The time to paint 1 train car is 0.6 hours, so the time to paint x train cars is 0.6x hours.The time to construct 1 section of wooden track is 0.2 hours, so the time to construct y sections of wooden track is 0.2y hours.The time to paint 1 section of wooden track is 0.1 hours, so the time to paint y sections of wooden track is 0.1y hours.The total time to construct a full train set is 5.2 hours, so we have the equation 0.4x + 0.2y = 5.2.The total time to paint a full train set is 4.2 hours, so we have the equation 0.6x + 0.1y = 4.2.The system of equations that can be used to find the number of train cars and number of sections of wooden track in a full train set is:
0.4x + 0.2y = 5.2
0.6x + 0.1y = 4.2
Solve x2 = 144
Select one:
a. 72
b. 12
c. ±12
d. −12
So I chose B which I thought was correct but it was wrong
Answers
Power is the result of multiplying two numbers together. The solution of the x²=144 is ±12. The correct option is C.
What is power?Power is the result of multiplying two numbers together such that both numbers are equal to each other. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The solution of the given expression can be written as,
x² = 144
x² = 12×12 or -12×-12
x = √(12×12) or √(-12×-12)
x = 12 or -12
x = ±12
Thus, the solution of the x²=144 is ±12. This is because the multiplication of two positive numbers is positive, also, the sum of the two negative numbers is positive.
Hence, the solution of the x²=144 is ±12
Learn more about Power here:
https://brainly.com/question/23432317
#SPJ2
your job is to design a staircase that has a total rise of 11 feet and meets these design guidelines:
1) the slope of the staircase is between 0.55 and 0.85
2) twice the rise plus the run must be between 24 and 25 inches
3) there can be no irregular steps
4) each step must be the same size
how many risers and treads?
what size are they?
EXPLAIN DESIGN AND INCLUDE CALCULATIONS.
show how each design guideline is met.
Answers
Then the total run of the stair case is between
[tex] \frac{11}{0.85} = 12.94 \ feet \ and \ \frac{11}{0.55}=20 \ feet[/tex] . . . (1)
Given that twice the rise plus the run must be between 24 and 25 inches
Let the size of each run be x and the size of each rise, y, then
24 / 12 < x + 2y < 25 / 12
2 < x + 2y < 2.08 . . . (2)
Also, let the number of risers and treads be n, then
12.94 < nx < 20 . . . (3)
and
ny = 11 . . . (4)
From (2), 2 < x + 2y < 2.08, thus, we have
2 - 2y < x < 2.08 - 2y . . . (5)
Multiplying through by n, we have:
2n - 2ny < nx < 2.08n - 2ny . . . (6)
From (4), ny = 11, so we have
2n - 2(11) < nx < 2.08n - 2(11)
2n - 22 < nx < 2.08n - 22 . . . (7)
Comparing (3) and (7), we have
2n - 22 = 12.94 or 2.08n - 22 = 20
2n = 12.94 + 22 = 34.94 or 2.08n = 20 + 22 = 42
n = 17.47 or 20.19
Thus n is approximately 17 or 20.
From (4), ny = 11, so we have
y = 11/17 or 11/20
y = 0.65 or 0.55
From (2), 2 < x + 2y < 2.08, so we have
2 < x + 2(0.65) < 2.08
2 < x + 1.3 < 2.08
0.7 < x < 0.78
or
2 < x + 2(0.55) < 2.08
2 < x + 1.1 < 2.08
0.9 < x < 0.98
Therefore, we can conclude that we will have 20 risers and treads with each riser measuring 6.6 inches and each tread measuring 11 inches.
R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?
Answers
suppose this is your line,
R is the mid point
and it's given that
QR = 2x
and
RS = x+3
as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3
as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.
R is the midpoint of QS, if QR=2x and RS=x+3, then, the value of RS is:
RS is 6 units.
Here, we have that, R is the midpoint of QS, if QR=2x and RS=x+3.
Since R is the midpoint of QS, we know that QR is equal to RS.
Given that,
QR = 2x, and RS = x + 3,
we can set them equal to each other:
2x = x + 3
Now, let's solve for x:
2x - x = 3
x = 3
Now that we have the value of x, we can find RS:
RS = x + 3
RS = 3 + 3
RS = 6
So, RS is 6 units.
To learn more on equation click:
https://brainly.com/question/14468218
#SPJ5
convert the 5th root of x^3 into a rational expression and explain the steps
Answers
fifth root of n is;
n^(1/5)
And when there is x^3, the fifth root is multiply 1/5 with 3
x^3(1/5)
= x^(3/5)
So, this is the rational expression to write x^3.
It takes nim 2 2/3 hours to weave a basket. He worked Monday through Friday , 8 hours a day. How many baskets can he make?
Answers
40 / (2 2/3) =
40 / (8/3) =
40 * 3/8 =
120/8 =
15 <=== he made 15 baskets
Answer:
15 baskets
Step-by-step explanation:
In order to solve this question, first we need to know the amount of hours that Nim was able to work.
If Nim worked Monday through Friday, 8 hours a day, then:
Monday to Friday = 5 days
1 day = 8 hours
5 days * 8 hours = 40 hours
Out of these forty hours, Nim needs 2 2/3 hours to weave a basket. Therefore:
40 / (2 2/3) =
40 / (8 /3) =
40 * 3/8 =
120/8 = 15
Jackie is wrapping a birthday present. The gift box is in the shape of a rectangular prism. It has a length of 8 inches, a width of 10 inches, and a height of 3 inches. What is the minimum amount of wrapping paper she will need to completely cover the box?
Answers
The surface area of the box with dimensions AxBxC linear units is 2*(AB + AC + BC) square units.
If the condition means conventional/regular rectangular piece of paper, then it is, probably,
the rectangle of 8+3+3 = 14 inches wide and 3+10+3+10 = 26 inches long.
Answer:
D
Step-by-step explanation:
Suppose Mrs. Reyes would like to save Php 1,000.00 at the end of each month for 9 months in a fund that gives 5% per annum compounded monthly. How much would the value of her savings be after 7 months?
Answers
Compounding interval, n = 12, monthly compounding
Therefore
r/n = 0.05/12 = 0.004167
The first deposit has a duration of 7 months. Its value is
a₁ = 1000*(1.004167)⁷
The second deposit has a duration of 6 months. Its value is
a₂ = 1000*(1.004167)⁶
and so on.
The values after each month from a geometric sequence with
a = 1000*(1.004167)
r = 1.004167
Over 7 months, the total sum is
[tex] \frac{1000*1.004167*(1-1.004167^{7} )}{1-1.004167} =7117.64[/tex]
Answer: Php 7,117.64
After 7 months her savings will be 7117.64.
Step-by-step explanation:
Given :
Rate is r = 5% = 0.05
Compounding interval, n = 12
Solution :
Now,
[tex]\rm \dfrac{r}{n} = \dfarc{0.05}{12}[/tex]
[tex]\rm \dfrac{r}{n} = 0.004167[/tex]
Now first deposit duration is 7 months. Therefore, its value is [tex]\rm a_1 = 1000\times (1.004167)^7[/tex]
Now second deposit duration is 6 months. Therefore, its value is
[tex]\rm a_2 = 1000\times (1.004167)^6[/tex]
Now third deposit duration is 5 months. Therefore, its value is
[tex]\rm a_3 = 1000\times (1.004167)^5[/tex]
and so on.
The values are in geometric sequence where
[tex]\rm a = 1000\times (1.004167)[/tex]
[tex]\rm r = 1.004167[/tex]
We know that the sum of the geometric sequence is given by,
[tex]\rm S_n = \dfrac{a (r^n-1)}{(r-1)}[/tex] ------ (1)
Now put the values of a and r in equation (1),
[tex]\rm S_7=\dfrac{1000\times(1.004167)((1.004167)^7-1)}{(1.004167-1)}[/tex]
[tex]\rm S_7 = 7117.64[/tex]
After 7 months her savings will be 7117.64.
For more information, refer the link given below
https://brainly.com/question/4853032?referrer=searchResults
explain how you can tell the frequency of a data value by looking at the dot plot
Answers
We have 5 dice, 4 of these dice are the same, the fifth is not. find it!
Answers
Now, notice the pattern shown on each dice.
You will find that the pattern is 6,5 and 4.
Now, notice the way that this pattern is ordered. You will find that:
for dice a,b,c and e : the pattern is shown in a clockwise direction order
for dice d: the pattern is shown in an anti-clockwise direction order.
This means that: dice D is the different one
The dice are illustrations of patterns
The fifth die that is different from the other four dice is die D
From the question, we have the following highlights
The pattern on all the 5 dice include 4, 5 and 6When the patterns are ordered, dice A, B, C and E have their pattern to be in a clockwise directionDie D has its pattern to be in a counterclockwise directionHence, the fifth die that is different from the other four dice is die D
Read more about pattern at:
https://brainly.com/question/15590116
Pls help me out here hope the points are good (no scams pls)
Answers
6/3 =2
15/3 =5
6/15 = 2/5
8/4 =2
20/4 =5
8/20 = 2/5
answer is B 2/5
6/15 = 2/5 (divide by 3)
and
8/20 = 2/5 (divide by 4)
Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of negative 1 slope = -1 slope = 0 slope = undefined slope = 1
Answers
Slope is Undefined because it's just a vertical line and it's not angled...
Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.
What is the youngest age Juanita's cousin can be?
Answers
x + y >= 103
substituting for x:-
y + 13 + y >=103
2y >= 90
y >= 45
Answer is 45.
Answer:
45
Step-by-step explanation:
I can confirm, the first guy is right (I did the test)