Answer:
96
Step-by-step explanation:
For those of you who have an 84 angle for angle D and E isosceles trapezoid the base legs will be equal due to the congruent legs, all of the interior angles of a trapezoid will add up to 360, D and E equal 84, 360-84-84 would be 192, now since the base angles are equal due to the congruent legs 192/2 would be 96. Angles B and C are 96.
The external angles of a triangle are those created outside of it. The measure of ∠CBD is 132°.
What is an exterior angle?The external angles of a triangle are those created outside of it. In other terms, a triangle's external angle is the angle produced between one of its sides and its neighbouring extended side.
The diagram for the given condition can be made as shown below.
In a triangle, the sum of two interior angles is equal to the exterior angle for the angle which is left. Therefore, the measure of ∠CBD can be written as,
∠CBD = ∠BAC + ∠BCA
∠CBD = 43° + 89°
∠CBD = 132°
Hence, the measure of ∠CBD is 132°.
The complete question is:
Triangle ABC with the measure of ∠A equal to 43° and the measure of ∠C equal to 89°. Ray AD passes through point B, creating external angle CBD.
Based on the information provided, what is the measure of ∠CBD?
m∠CBD =__________.
Learn more about Exterior Angle:
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8x=24
Solve the equation for x
Answer:
x=3
Step-by-step explanation:
Divide both sides by 8.
Answer:
3
Step-by-step explanation:
8x3=24..............
Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
85
Step-by-step explanation:
The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.
Answer:
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
The calculation is as follows:
For Elevator A: -4x+16
And,
Elevator B: -3x +16
Therefore the above statements are true.
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In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?
Answer:
The number of heating degree days is 16.5.
Step-by-step explanation:
First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:
[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)
[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]
[tex]T = 48.5\,^{\circ}F[/tex]
And the number of heating days is:
[tex]H = 65-48.5[/tex]
[tex]H = 16.5[/tex]
The number of heating degree days is 16.5.
i neeed thiss pleaseeeeeee!!!!!!
Can you find the solution Im so confused
Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.
Answer: B.The range Is Higher for city A than City B
E. The median is the same for city A and City B
According to the calculations, the correct statements are B and C.
Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:
The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.
Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.
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Julie has two bags of grapes. One weighs 5/8 pound and the ther weighs 1/4 pound. What is the difference in the two bags of grapes?
Answer:
one bag is heavier and the other is lighter.
Step-by-step explanation:
5/8 = more than half a pound
1/4 = less than half a pound
Answer:
3/8
Step-by-step explanation:
You have to make 1/4's denominator match the denominator of 5/8.
By multiplying it by 2.
1/4 =2/8
You then subtract 2/8 into 5/8 to get 3/8
YALL HELP PLEASE THANK U
Answer:
I am not getting this question
Step-by-step explanation:
Given Vertex (5,4) and focus (8,4)
It can be easily noticed that focus and vertex lie on the same horizontal line y = 4
Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.
(y−k)^2=4a(x−h)
a=8-5=3 as y coordinates are the same.
Since the focus lies to the left of vertex, a = 3
(y−4)^2=4⋅3⋅(x−5)
(y−4)^2=12(x−5)
is the equation of the parabola.
What is the slope of the line represented by the equation y = 4/5x - 3
Answer:
the slope 4/5x and the y intercept is -3
Step-by-step explanation:
In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.
∠3and∠5
A
Complementray Angles
B
Vertical Angles
C
Corresponding Angles
D
Supplementary Angles
Answer:
I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol
Step-by-step explanation:
i hope it work
Which of the following is not a function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 2, 3. Column 2 is labeled y with entries 3, 4, 5, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Answer:
A on edge. -
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Step-by-step explanation:
got it right
Answer:
it is A on edge the guy before me is wrong
Step-by-step explanation:
code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution
Answer:
The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]
We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]
Now, we substitute our value for x into one of the original equations and solve for y.
[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]
Therefore, the solution to our system of equations is:
[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
46.78
Step-by-step explanation:
you divide 16 by the cos of 70 and it turns out to be 46.78
Please help me I dont know how this works.
Answer:
Step-by-step explanation:
Average =
Sum
Count
=
17.3
3
= 5.7666666666667
If Oni uses all 3 of the $0.44 cent stamps he has, what
is the minimum number of $0.10 stamps he needs to
use?
Ori needed at least $1.47 in postage to mail an
envelope to his cousin overseas. If x represents the
number of $0.44 cent stamps he has and y represents
the number of $0.10 cent stamps he has the inequality
representing the number of stamps he can use to mail
the envelope is 0.44x+0.1021.47
O 1
O2
O 3
05
Answer: b
Step-by-step explanation: edge 2020
find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.
Answer:
the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Step-by-step explanation:
Given the equation
$t² = 324$
Let us solve the equation
[tex]t^2=324[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]
as
[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]
so
[tex]t=18,\:t=-18[/tex]
Thus, the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Ur account got ha ked again...
well...
ill let you see for
Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?
Answer:
26 flower arrangements
Step-by-step explanation:
14 times $17 equals $238
$576 - $238 = $338
$338/13 = 26 flower arrangements
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Point-slope form
Complete the point-slope equation of the line through (-4, 8) and (4,4).
Use exact numbers.
WHOEVER ANSWERS RIGHT GETS BRAINIST
There are actually two correct answers, one of them is y-4=-0.5(x-4)
First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=[tex]-\frac{x}{2} +6[/tex], with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.
Which table does not show y as a function of x please show explation
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi
Answer:
What is the circumference of a circle whose area is 16 π ?
A. 64 π
B. 32 π
C. 8 π
D. 4 π
Step-by-step explanation:
its 8 π cause it said it was correct
Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:
Cat toy $4
Cat food $12
Litter box $16
Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.
Answer: 16x+96
Step-by-step explanation:
Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96
forgot to put photo but this is a repost HELP EMEBAHNDJFKG
Answer:
a
Step-by-step explanation:
2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3
There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.
[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]
Now we will solve for y using what we got for x.
[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]
Solution:
A: [tex](0, 3)[/tex]
I need help asap pleaseeee
Answer: B,C
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
[tex]\frac{x-c}{2} =d, for ( x)[/tex]
SHow your work!
$22 haircut; 20% tip
help..
Answer:
20% tip = $4.40; total = $26.4
Step-by-step explanation:
20 % = 0.20 ------> 22 * 0.20 = 20% of 22
20% of $22.00 = $4.40
total = $22.00 + $4.40
total = $26.40
20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards
Answer:
3
Step-by-step explanation:
V=πr2h
3
Solving for r
r=3V
πh=3·47.1
π·5≈2.99924
Answer:
3
Step-by-step explaination
