Answers
Angle 3 = 180° - 70°
Angle 3 = 110°
Angle 2 = 180° - (110° + 36°)
Angle 2 = 180° - 146°
Angle 2 = 34°
Angle 4 = 180° - 70°
Angle 4 = 110°
Angle 5 = 180° - (110° + 62°)
Angle 5 = 180° - 172°
Angle 5 = 8°
I hope this helps.
Related Questions
How to find the equation of an exponential function given two points?
Answers
Given two points, (m, n) and (p, q), we find the equation of the exponential function as follows:
[tex]n=a(b)^m \ .\ .\ .\ (1) \\ \\ q=a(b)^p \ .\ .\ .\ (2) \\ \\ \frac{(1)}{(2)} \Rightarrow \frac{n}{q} = \frac{b^m}{b^p} =b^{m-p} \\ \\ \Rightarrow \ln\left( \frac{n}{q} \right)=(m-p)\ln(b) \\ \\ \Rightarrow \ln(b)= \frac{\ln\left( \frac{n}{q} \right)}{m-p} \\ \\ \Rightarrow b=e^{\frac{\ln\left( \frac{n}{q} \right)}{m-p}[/tex]
From (1), we have:
[tex]n=a\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right) \\ \\ \Rightarrow a= \frac{n}{\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)}}[/tex]
Therefore, the equation of an exponential function given two points (m, n) and (p, q) is given by
[tex]y=\frac{n}{\left(e^{m\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)}}\left(e^{\frac{\ln\left( \frac{n}{q} \right)}{m-p}\right)^x[/tex]
[i.e. you can choose any set of points and substitute the values in the equation above to get the exponential equation]
Write an equation of a line that includes the point (22,12) and has a slope of 4 in standard form
Answers
Point slope form: y-y1=m(x-x1)
You have to put your given values into the equation.
y-12=4(x-22)
Because it wants the equation in standard form, you leave the equation as is.
I hope I was able to help. Best of luck!
The equation of the line that passes through the point (22,12) and has a slope of 4 is; y = 4x - 76
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Where x₁ - x coordinate and y₁ - y coordinate
Point (22,12)
Then Slope m =4
Now Write the equation as
y - 12 = 4(x - 22)
y = 4x - 76
Hence, the standard form of the line is; y = 4x - 76
Learn more about equations here;
brainly.com/question/25180086
#SPJ5
If Leslie has a total monthly budget of $4000 and spends $500 on a car payment, What percentage of her monthly budget is dedicated to the car payment?
Answers
Answer:
12.5%
Step-by-step explanation:
We have been given that Leslie has a total monthly budget of $4000 and spends $500 on a car payment.
To find the percentage of her monthly budget is dedicated to the car payment, we will find 500 is what percent of 4000.
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{500}{4000}\times 100\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{50}{4}\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=12.5\%[/tex]
Therefore, 12.5% of Leslie's monthly budget is dedicated to the car payment.
If two sides of a triangle measure 12 and 7, which cannot be the perimeter of the triangle
Answers
We can utilize the Triangle Inequality Theorem, Which states
A + B > C
A + C > B
B + C > A
With that said, we are going look for C.
We know that
12 + 7 > C
So
19 > C
OR
C < 19
So our 3rd leg has to be less than 19.
So if we make C =18.999 and Sum up all the sides, 12 + 7 + 18.999 = 37.999
this means the max perimeter is 37.999.. so we know D: 38 cannot be the perimeter.
38 cannot be the perimeter of the triangle.
What is Triangle Inequality Theorem?The sum of any two sides of a triangle is greater than or equal to the third side.
Given:
Two sides are 12 and 7.
Using Triangle Inequality Theorem, we have
In ΔABC,
AB + BC > CAAC + CB > BAAB + CA > BCSo,
12 + 7 > C
19 > C
C < 19
So, the third side should be less than 19.
Let us take maximum possible values,
C =18.999
Then, perimeter will be,
12 + 7 + 18.999 = 37.999
Hence, 38 cannot be the perimeter.
Learn more about Triangle Inequality Theorem here:
https://brainly.com/question/309896
#SPJ2
What is the equation of the line graphed below?
Select the correct answer below.
A.1/2x+y=3
B.1/2x+y=6
C.-1/2x+y=3
D.-1/2x+y=6
Answers
Solve the equation to put it in slope intercept form. (y=mx+b)
1/2x + y = 3
Subtract 1/2x from both sides.
y = -1/2x + 3
The y-intercept (where the line crosses the y-axis) is three and the slope (rise over run) is -1/2.
Hope this helps!
Answer: A. [tex]\dfrac{1}{2}x+y=3[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then the equation of a line passing through two points (0,3) and (6,0) is given by :-
[tex](y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3[/tex]
Hence, the equation which is graphed in the given picture :-
[tex]\dfrac{1}{2}x+y=3[/tex]
Four cousins were born at two-year intervals. The sum of their ages is 36. How old are they?
Answers
Answer:
6, 8, 10, 12
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.
4x + 12 = 36
24 = 4x
x = 6
What is the name of the relationship between ∠1 and ∠4 ? alternate exterior angles corresponding angles adjacent angles alternate interior angles Assessment menu bar
Answers
Answer:
coresponding angles buddy
Step-by-step explanation:
Which of the following is not involved in constructing a circle inscribed in a triangle?
A- angle bisectors
B- perpendicular bisectors
C- incenter of a triangle
D- center of a circle
Answers
i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O
ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.
iii) Draw a circle with center the incenter, and radius the distance OT.
Answer: B) Only perpendicular bisectors are not involved.
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee. Which equation can be solved to determine x, the number of hours after which the costs would be the same?
Answers
A. 50x + 250 = 75x + 100 is the correct answer
Answer:
A. 50x + 250 = 75x + 100
Step-by-step explanation:
edge 2022
For the following figure, complete the statement for the specified points.
Points A, S, Q, and R are _____.
collinear
coplanar
both collinear and coplanar
neither collinear nor coplanar
Answers
Answer:
D. Neither collinear nor coplanar
Step-by-step explanation:
We know that,
Collinear points - are the points which lie in the same straight line.
Coplanar points - are the points which lie in the same plane.
From the figure, we see that,
The points A, S, and R lie in the same line but Q does not lie in the same line.
The points A and Q lie in the same plane but others do not lie in the same plane.
Hence, we get,
These points are neither collinear nor coplanar.
Thus, option D is correct.
There are approximately 45 hundred species of mammals on Earth and 2.8 x 10 to the 4 species of fish. What is the difference in the number of species?
This is SCIENTIFIC NOTATION
Answers
Answer:
23500
Step-by-step explanation:
We are given that
Number of species of mammals on earth=approximately 45 hundred=4500
Number of species of fish=[tex]2.8\times 10^4=2.8\times 10000=28000[/tex]
We have to find the difference between the number of species of mammals and fish.
In order to find the difference in the number of species we will subtract number of species mammals from the number of species of fish.
Difference=28000-4500=23500
Hence, the difference between the number of species of mammals and fish=23500
Answer:
23,500
Step-by-step explanation:
45 hundred = 45 × 100 = 4,500
2.8 × 10^4 = 28,000
28,000 - 4,500 = 23,500
Evaluate 2x + 6y when x= −4/5x and y= 1/3
Answers
Barbara went ice skating. It cost $5.85 to rent the skates, $2.50 for nachos, and it cost $1.95 per hour to skate. If she skates for 2 1/2 hours, how much does she spend?
Answers
Barbara spends $13.23. Hope I helped.
The degree of the polynomial function f(x) is 4.
The roots of the equation f(x)=0 are −6 , −2 , 1, and 3.
Which graph could be the graph of f(x) ?
Answers
Answer:
option B
Step-by-step explanation:
The degree of the polynomial function f(x) is 4.
The roots of the equation f(x)=0 are [tex]−6 , −2 , 1,[/tex] and 3.
We are given with four roots. they are the x intercepts
x intercepts are [tex]−6 , −2 , 1,[/tex] and 3
The polynomial has degree 4, the polynomial goes up on both sides
We look at the graph that has x intercepts [tex]−6 , −2 , 1,[/tex] and 3 and both ends of the graph goes up
option B is correct
The graph that could be the graph of f(x) is;
The second graph which is the one at the top right
We are told that;
Degree of polynomial f(x) = 4; This means it has 4 roots
Roots of polynomial = -6, -2, -1 and 3
The roots of a polynomial simply means the values of x at which the function f(x) is equal to zero. This simply means the x- intercept is the root.
Thus, the x-intercept of the correct graph should be at;
x = -6; x = -2 ; x = -1 and x = 3
Looking at the given graphs, the only one that has its' x-intercepts at x = -6; x = -2 ; x = -1 and x = 3 is the second graph at the top right.
Read more at; https://brainly.com/question/11625355
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for x movie rentals?
Answers
Answer:
2.95 x + 39.95 (12)
Hope this helps!!
The yearly cost for a student's movie rentals with a monthly subscription fee and a per-movie fee is expressed as $479.40 + $2.95x, where x is the number of movies rented.
Explanation:The yearly cost for x movie rentals from an on-demand movie company that charges a monthly fee and a per-movie fee can be represented by an algebraic expression. To find this expression, we need to account for both the monthly fee and the cost per movie.
The monthly fee is $39.95, so over one year, this fee would be 12 times $39.95.
For each movie rented, there is an additional charge of $2.95. If x movies are rented over a year, this cost is x times $2.95.
Combining these two costs gives us the total yearly cost:
Yearly Cost = (12 \(\times\) $39.95) + ($2.95 \(\times\) x)
This can be simplified to:
Yearly Cost = $479.40 + $2.95x
The cross section of a beehive reveals it is made of regular hexagons. what is the measure of each angle in a regular hexagon?
Answers
hhuhyuhgrsd dffrr ffyuu jymn kjyt d hhhhhhhhaaaaaaaaa
What is the answer because I don't get it
Help me with this question
Answers
Your Y-intercept (0, y), you plug in the y value as B. M is where you put your slope.
So for the second one (top right), you have a Y-int of -2 or (0, -2) and a slope/m of 1/1 = 1. So your equation would be y = 1x - 2 or y = x - 2.
____ patterns have regular elements spaced at regular intervals.
Answers
(5 - 3i)(6 + 2i)
Multiply and simplify.
A) 24 - 8i
B) 24 + 8i
C) 30 - 2i
D) 36 - 8i
Answers
Answer:
The correct answer is D
Step-by-step explanation:
36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.
The measure of ∠ABC is 46°. What is the measure of its intercepted arc AC?
46°
92°
144.44°
23°
Thank you!
Answers
So, you can use the theorem that says that the measure of an inscribed angle in a circle is half the central angle.
So, the central angle is twice 46°, that is 2 * 46° = 92°.
And you also need to know that the measure of the arc is the same measure of the central angle. So the arc AC measures 92°.
Answer: 92°
16. 7⁄8 = ?⁄48 A. 42 B. 1 C. 13 D. 6
i cant answer it :(
Answers
7/8=0.875
42/48=0.875
Hope this helps!
Solve for x. 7(x + 1) = 21
x = 2
x = 20/7
x = 22/7
x = 4
Answers
-7 -7
7x=14
divide 7 on both sides
x=2
rabbits population can double every 30 days if there are 10 rabbits on a farm how many rabbits will be on the farm after 120 days
Answers
Answer:
Step-by-step explanation:
= 10(1+1)^4 the final answer is 160
How I got 4 is you divide 30\ 120 =4
After 120 days there will be 160 rabbits on the farm.
What is equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Rabbits population can double every 30 days.
Initially there are 10 rabbits in a farm.
So, after 30 days there would be 10 × 2 = 20 rabbits.
After next 30 days, there would be
20 × 2
= 10 × 4
= 10 × 2²
= 40 rabbits.
Let t be the number of days and x be the number of rabbits.
So, we have an equation:
[tex]x=10\times2^{\frac{t}{30} }[/tex]
No, we find the number of rabbits after 120 days.
t = 120
So, the equation becomes,
[tex]x=10\times2^{\frac{t}{30} }\\\\x=10\times2^{\frac{120}{30} }\\\\x=10\times2^{4}\\\\x=10\times 16\\\\x=160[/tex]
Therefore, after 120 days there will be 160 rabbits on the farm.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ3
A box contains 14 scarves in unique colors. If 4 scarves are picked randomly from the box,__________ different combinations are possible if the order doesn't matter.
Answers
Answer: 363242880
Step-by-step explanation:
We know that the of to calculate the number of combinations, we use the formula :-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex], where n : the total number of items
r: the number of items being chosen at a time.
Given: The total number of scarves contained in a box= 14
The number of scarves picked = 4
The number of different combinations is given by :-
[tex]^{14}C_4=\dfrac{14!}{(14-4)4!}\\\\=\dfrac{14\times13\times12\times11\times10!}{10!4!}\\\\=\dfrac{14\times13\times12\times11}{4\times3\times2}=363242880[/tex]
Hence, If 4 scarves are picked randomly from the box, 363242880 different combinations are possible if the order doesn't matter.
Suzie purchased a dress on sale for $27.20. This is 85% of the original price. What was the original price?
Answers
The original price of the dress is $32.
Hope this helps!
The original price of the dress purchased by Suzie is given by the equation A = $ 32
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original price of the dress be A
Now , the equation will be
The cost of the purchase = $ 27.20
The percentage of the cost of purchase = 85 %
So ,
The original price of the dress x percentage of the cost of purchase = cost of the purchase
Substituting the values in the equation , we get
A x ( 85/100 ) = 27.20
On simplifying the equation , we get
Multiply by 100 on both sides of the equation , we get
85A = 2720
Divide by 85 on both sides of the equation , we get
A = 2720/85
A = $ 32
Therefore , the value of A is $ 32
Hence , the original price of the dress is $ 32
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
If PS || QR what is the measure of angle RSP?
Answers
Plug in 9 for 8y - 13 we get 8(9)-13 = 72- 13 = 59.
The inside angles of triangles must equal 180 so now we have 3x + 2x + 1 + 59 = 180. Combine like terms you get 5x + 60 = 180. Subtract 60 from both sides, you get 5x = 120. Divide by 5, x = 24. This is NOT your answer; we are not done yet!
We must plug in again for the angle represented by 2x + 1. The middle letter tells you which one to plug in for (rSp). x = 24 so 2(24) + 1. 48 + 1 = 49.
Your answer is B. 49. degrees.
Option B is correct. The measure of m<RSP is 49 degrees
From the diagram shown
3x + 2x + 1 + 8y - 13 = 180
5x + 8y - 12 = 180
5x + 8y = 180 + 12
5x + 8y = 192 ................. 1
Also, since PQ is parallel to PS, hence;
5y +14 = 8y - 13 (alternate interior angle)
5y - 8y = -13 - 14
-3y = -27
y = 27/3
y = 9
Substitute y = 9 into equation 1
5x + 8y = 192
5x + 8(9) = 192
5x + 72 = 192
5x = 192 - 72
5x = 120
x = 120/5
x = 24
Get the measure of <RSP
m<RSP = 2x + 1
m<RSP = 2(24) + 1
m<RSP = 48 + 1
m<RSP = 49degrees
Hence the measure of m<RSP is 49 degrees
Learn more here: https://brainly.com/question/20348771
Help please pre calculus
Answers
put 7.6*10^-4 into the given formula as the denominator of the fraction:
10log(1/7.6*10^-4) = 31.19
Quadrilateral FGHI is dilated with respect to the origin by a scale factor of 1/3 . What are the coordinates of G’?
Answers
Answer:
D
Step-by-step explanation:
you divide the x and y axis by 3
Got it right on EDG
What is the area of trapezoid ABCD ?
Enter your answer as a decimal or whole number. Do not round at any steps.
__units²
Answers
The perimeter of an equilateral triangle is 156 feet find the length of each side
Answers
Answer:
52 feet
Step-by-step explanation:
In an equilateral triangle, all three sides are equal in length.
If we let s represent the length of one side, the perimeter P of the triangle can be expressed as:
[tex]P = 3s[/tex]
Given that the perimeter is 156 feet, we can set up the equation:
[tex]3s = 156[/tex]
To find s, divide both sides of the equation by 3:
[tex]\dfrac{3s}{3}=\dfrac{156}{3}[/tex]
[tex]s=52[/tex]
Therefore, the length of each side of the equilateral triangle is:
[tex]\large\boxed{52 \textsf{ feet}}[/tex]