we know angles A and B are supplementary, thus their sum is 180°.
[tex]\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}[/tex]
The measure of angle m∠B = 112°
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
Supplementary angles have a sum of 180°
Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.
( 2x+26 ) + ( x+25 ) = 180
Now we can combine like terms and apply the operations to find the value of x:
⇒ ( 2x+26 ) + ( x+25 ) = 180
⇒ 3x + 51 = 180
⇒ 3x = 180 - 51
⇒ 3x = 129
⇒ x = 129/3
⇒ x = 43
Then Angle B will have a measure of x+25 = 43 + 25 = 68°
m∠ B = 112°
The measure of Angle A will be :2x+26 = 2(43) + 26 = 112°
m∠A = 68°
Thus, the measure of angle m∠B = 112°
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Please help it's due today
Answer:
3.7 is the MAD
Step- By- step explanation
to find the MAD do these steps
To find the mean absolute deviation of the data, start by finding the mean of the data set.
Find the sum of the data values, and divide the sum by the number of data values.
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
Find the sum of the absolute values of the differences.
Divide the sum of the absolute values of the differences by the number of data values.
I hope this answer helps you. Have fun doing I-Ready!
Line e passes through points (10, 8) and (3, 5). Line f passes through points (3, 1) and (10, 4). Are line e and f parallel or perpendicular?
Answer:
e║f.
Step-by-step explanation:
1) the pointed vectors of the given lines are:
for line e: (3-10;5-8)=(-7;-3);
for line f: (10-3;4-1)=(7;3);
2) -7/7=-3/3=-1, it means the lines are parallel.
Find the equation of the line that is parallel to y=(2x-1)/3 and passes though (0,5)
Answer:
y = (2/3)x + 5
Step-by-step explanation:
y = (2x - 1)/3 is also
y = (2/3)x - 1/3
to get started on this question you will want to plug in the points and remove the - 1/3 as the slope is the same
5 = 0 + b
the b is the y intercept or what was -1/3 in the previous equation
thus when you write the equation for the line that is parallel to y=(2x-1)/3 and passes though (0,5)
you get
y = (2/3)x + 5
70.4 divided by 11 with work shown
Answer:
6.4
Step-by-step explanation:
70.4/11
= 6.4
use your calculator
Answer:
6.4
Step-by-step explanation:
66/11=6 4.4/11=0.4
Trigonometric ratios in right triangles. Find tan (b) in the triangle. A,b,c 3,4,5
Check the picture below.
Need help with these 3
Answer:
Step-by-step explanation:
Corresponding angles: When two parallel lines are intersected by a transversal, the acute angles on the same side are congruent & the obtuse angles on the same side of the transversal are congruent and they are called corresponding angles.
Co-interior angles: The interior angles on the same side of the transversal are called co -interior angles and they are supplementary.
a) c + 123 = 180 {linear pair}
c = 180 - 123
c = 57
a = 123 {Corresponding angles}
b = a {Vertically opposite angles are congruent}
b = 123
b) f + 82 = 180 {Linear pair}
f = 180 - 82
f = 98
d = f {Corresponding angles}
d = 98
e = d {Vertically opposite angles}
e = 98
c) h = 75 {Corresponding angles}
g = h {Vertically opposite anges}
g = 75
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Lineear positive association
Step-by-step explanation:
because the horizontal line is +x and vertical line is +y
45x+90y=810
y=x+4
Find the solution
Answer:
45(x+2y)=810
x+2y=810/45
x+2y=18
x+2*(x+4) =18
x+2x+8=18
3x=10
x=10/3
y=10/3+4
The grouped frequency table below represents the lengths of the fingers of some
students in centimetres.
Length (x cm) Frequency (f)
8<< < 9 3
9<3 <10 11
10 < x < 11 17
11 < x < 129
Find an estimate for the mean length.
cm
Answer:
10.3
Step-by-step explanation:
When calculating the mean from a grouped frequency table, first you must estimate what the value is through finding the number halfway between the value that x is greater than and less than:
The number halfway between 8 and 9 is 8.5
The number halfway between 9 and 10 is 9.5
The number halfway between 10 and 11 is 10.5
The number halfway between 11 and 12 is 11.5
Next, you have to multiply the estimated value by its frequency:
8.5 x 3 = 25.5
9.5 x 11 = 104.5
10.5 x 17 = 178.5
11.5 x 9 = 103.5
Then, add up the values you calculated and divide them by the total frequency (all the frequencies added up).
total estimated length: 25.5 + 104.5 + 178.5 + 103.5 = 412
total frequency: 3 + 11 + 17 + 9 = 40
412/40 = 10.3
The figure (not drawn to scale) consists of a semicircle, one large rectangle, and one small rectangle,
with dimensions as shown. The width of the small rectangle is 3 feet and its length is 3 times the width.
50 ft
The shaded region area is the amount of space covered by the shaded region
The area of the shaded region is 3.75 square feet
How to determine the shaded areaThe question is incomplete, as the figure is not given.
So, I will give a general explanation
Assume that the figure has the following properties
Big rectangle of dimension, 10 ft by 5 ftSmall rectangle of dimension 3 ft by 9ftSemicircle of a diameter of 7ftStart by calculating the area of the big rectangle
Area = 10 ft * 5 ft = 50 square ft
Calculate the area of the small rectangle
Area = 3 ft * 9 ft = 27 square ft
Calculate the area of the semicircle
Area = 0.5 * 22/7 * (3.5)^2 ft = 19.25 square ft
Assume that the shaded area is outside the semicircle and the small rectangle, the shaded area would be:
Shaded area = Big rectangle - Small rectangle - Semicircle
So, we have:
Shaded area = 50 - 27 - 19.25
Shaded area = 3.75
Using the assumed values, the area of the shaded region is 3.75 square feet
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Answer:
The shaded region area is the amount of space covered by the shaded region
The area of the shaded region is 3.75 square feet
How to determine the shaded area
The question is incomplete, as the figure is not given.
So, I will give a general explanation
Assume that the figure has the following properties
Big rectangle of dimension, 10 ft by 5 ft
Small rectangle of dimension 3 ft by 9ft
Semicircle of a diameter of 7ft
Start by calculating the area of the big rectangle
Area = 10 ft * 5 ft = 50 square ft
Calculate the area of the small rectangle
Area = 3 ft * 9 ft = 27 square ft
Calculate the area of the semicircle
Area = 0.5 * 22/7 * (3.5)^2 ft = 19.25 square ft
Assume that the shaded area is outside the semicircle and the small rectangle, the shaded area would be:
Shaded area = Big rectangle - Small rectangle - Semicircle
So, we have:
Shaded area = 50 - 27 - 19.25
Shaded area = 3.75
Using the assumed values, the area of the shaded region is 3.75 square feet
Step-by-step explanation:
what is 86% of 20?
please help
Answer:
17.2
hi, how is your day?
Answer: 17.2
Step-by-step explanation:
what is the distance between 2, -4 and 9, -4
8 units
11 units
0 units
7 units
Answer:
6,13 is the right answer
Emma has 200 pages of her book left to read. In 4 minutes, she reads 6 pages.
At this rate, can she finish her book in 2 hours?
Answer:
She would finish her book in 2 hours and 16 minutes
Step-by-step explanation:
6 x 34 = 204
4 x 34 = 136
136 = 2 Hours and 16 minutes
Yes, she can finish her book in 2 hours if she reads at the same rate of 6 pages every 4 minutes.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
First, we need to convert 2 hours to minutes:
So,
= 2 hours × 60 minutes/hour
= 120 minutes
Now,
6 pages/4 minutes
= 1.5 pages/minute
So in 120 minutes, she can read:
= 1.5 pages/minute × 120 minutes
= 180 pages
Thus,
Since Emma has only 200 pages left to read, she can finish her book in 2 hours if she reads at the same rate of 6 pages every 4 minutes.
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1) The sum of three numbers is 22. The second is 3 more than the first. The third is
one less than twice the first. Find the numbers.
Answer: The numbers are 5, 8, and 9
Step-by-step explanation:
x+y+z=22
y=x+3
z=2x-1
After you have those three equations, you can plug the y and z value into the first equation.
You get x+x+3+2x-1=22, so 4x+2=22
Therefore, 4x=20, so x=5
If x=8, then y=5+3, so y=8
Also, z=2(5)-1, so z=9
HELP ME PLEASE :((((
Answer:
D
Step-by-step explanation:
Its hard to explain but its D!
perform the following operation and express the answer in scientific notation 3.60x10^-12+3.60x10^-11
Answer:
3.60X10^-12 is equal to 0.360X10^-11 (move decimal one place left)
Step-by-step explanation:
Now you can add 3.60X10^-11 and 0.360X10^-11:
3.60X10^-11 + 0.360X10^-11 = 3.96X10^-11
You're really just adding 3.60 to 0.36 since the "X10^-11" is the same for both.
What other angle between O and 360 degrees has the same TAN value as 71
degrees? Just type the angle measure in the bldnk without the units.
Answer:
-289 degrees
Step-by-step explanation:
You are looking for what is called Coterminal Angles.
To find a coterminal angle between 0 and 360 you add or subtract 360.
In this case, we subtracted 360 from 7171 - 360 = -289 tan(-289) = 2.90If TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.Hope this helps!! Please mark Brainliest!!!
how do you write 13 is 1/3 of m as an equation
Answer:
13 = 1/3 · m
Step-by-step explanation:
the word 'is' means equals
the word 'of' means multiply
Use synthetic division to solve (4 x cubed minus 3 x squared 5 x 6) divided by (x 6). What is the quotient? 4 x squared minus 27 x 167 minus StartFraction 996 Over x minus 6 EndFraction 4 x squared 21 x 131 StartFraction 792 Over x 6 EndFraction 4 x squared 21 x 131 StartFraction 792 Over x minus 6 EndFraction 4 x squared minus 27 x 167 minus StartFraction 996 Over x 6 EndFraction.
The quotient of the provided polynomial divide by the (x+6) with the help of synthetic division method is,
[tex]f(x)=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
What is the factor of polynomial?The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The polynomial given in the problem is,
[tex]4x^3-3x^2+5x+6[/tex]
This polynomial is divided by the linear factor (x+6). Thus use -6 to for the synthetic division of polynomial as,
-6 | 4 -3 +5 6
x -24 +162 -1002
Add the numbers as,
4 -27 167 -996
Put these values, we get,
[tex]f(x)=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
Hence, the quotient of the provided polynomial divide by the (x+6) with the help of synthetic division method is,
[tex]f(x)=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
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Answer: D
Step-by-step explanation:
Edge 2023
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
D.62 you can’t see it cause the picture too small but this is just another answer choice it’s not the answer
Answer:
28
Step-by-step explanation:
3p+6=90
3p=84
p=28
Solve the system of equations using elimination. How many solutions does the system have?
15x + 12y = 18
5x + 4y = 6
Answer:
infinite solutions
Step-by-step explanation:
The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:
(15x +12y) -3(5x +4y) = (18) -3(6)
0 = 0 . . . . . simplify (true for all values of x or y)
The system of equations has an infinite number of solutions.
Find the measure of the numbered angles
Answer:
1-90
2-55
3-35
Step-by-step explanation:
All the angles added up in one triangle should equal 180. Since you know 1 is a 90 degree angle, you add 90 and 55 to get 145, then subtract 145 from 180 to get 35. Two is 55 because the two angles are the same length. 3 is 35 because it is the unknown angle.
Write down the numbers in condensed form 200+40+5+0,3+0,07
Answer:
Step-by-step explanation:
240.37
If ∠G is supplementary to ∠H and the measure of ∠G is 65° what is the measure of ∠H?
Solution:
Given:
∠G = 65°Supplementary angles are a pair of angles that sum up to 180°.
It should be noted:
If ∠G and ∠H are a pair of supplementary angles, they both sum up to 180°.Equation formed: ∠G + ∠H = 180
Substitute the values into the equation.
∠G + ∠H = 180=> 65 + ∠H = 180Subtract 65 both sides.
=> 65 - 65 + ∠H = 180 - 65=> ∠H = 180 - 65 = 115°HELP WILL NAME BRAINLIEST
Answer:
YB= 11.2
Step-by-step explanation:
These triangles use scale factors.
Using scale factors, we can see that 7/15 is as (7+YB)/(15+24). Those are equal fractions, so we can set them equal to each other and solve for YB.
(7/15)=((7+YB)/(39)) solving for YB we get that it is equivalent to 11.2.
When the polynomial 3x^3+22x^2+38x+15 is divided by (x + 2), the remainder is 3. What is known about the function?
Answer:
It is known that x+2 is not a factor of the function.
Step-by-step explanation:
Whenever a remainder is present after diving a problem, the divisor is not a factor of the overall polynomial. Since this applies in this case, x+2 is not a factor.
Each section of toy train tracks is 13 centimeters long. If jude lays 15 section end to end, how long is his train track
Answer:
195 Cm
Step-by-step explanation:
13x15=195
The population of a town, y, is 15,000 people and is growing by 1.5% per year.
linear or exponential?
I believe it’s exponential and could someone help me write the equation?
Answer:
Exponential should be correct I should think.^
You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye.
What is the height of the tree to the nearest tenth of a foot?
The height of the tree to the nearest tenth of foot is 20.5 ft
Right angle triangle:A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
Therefore,
The base of the big triangle can be found as follows:
c² = a² + b²
c² = 9.2² + 5.8²
c² = 84.64 + 33.64
c = √118.28
c = 10.8756608995
c = 10.88 ft
Therefore, using similar triangle ratio,
5.8 / 10.9 = 10.9 / x + 5.8
5.8x + 33.64 = 118.81
5.8x = 118.81 - 33.64
5.8x = 85.17
x = 85.17 / 5.8
x = 14.6844827586
x = 14.68
Therefore, the height of the tree = 14.7 + 5.8 = 20.5 ft
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What could you multiply by to clear the fractions? Solve for x
x
.
23(x + 4) = 59x + 1
Answer:
x=91/36
Step-by-step explanation: