4. What is the measure of angle ABD in the figure below?*
D
2x
A
B
с
Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°
what is the x in x/5 +1 = 7
A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy
Answer:
[tex]P = 8 - 42x + 56y + 12xy[/tex]
Step-by-step explanation:
Given
[tex]Length = 4 - 7(3x + 4y)[/tex]
[tex]Width = 3x(2y)[/tex]
Required
The perimeter (P)
This is calculated as:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]
Open bracket
[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]
Open bracket
[tex]P = 8 - 42x + 56y + 12xy[/tex]
Please solve and hurry
Answer:
225°
Step-by-step explanation:
[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]
The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.
Answer:
53 weeks
Step-by-step explanation:
Given :
Reams of paper used :
3 reams = 4 Week
A case of 5 paper = 8 reams
Hence,
5 cases of paper = (8 * 5) = 40 reams
If :
3 reams = 4 weeks
40 reams = x
Cross multiply :
3x = 40 * 4
3x = 160
x = 160 / 3
x = 53. 333
Approximately 53 weeks (nearest whole number)
Given the series 2 + two-thirds + StartFraction 4 Over 9 EndFraction + StartFraction 8 Over 27 EndFraction + StartFraction 16 Over 81 EndFraction + StartFraction 32 Over 243 EndFraction + ellipsis, which partial sums are correct? Check all that apply.
edge
Answer:
A and C
Step-by-step explanation:
Edge 2021
The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
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The two lines below are parallel. If the slope of the red line is 4, what is the slope of the green line?
What does an equal sign mean mathematically?
Answer:
It means that the both sides of the expression in the given equation must be/are congruent.
Hope this helps!
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing
Answer:
DL/dt = 1000 miles/hour
Step-by-step explanation:
Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.
Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes
Then according to Pithagoras´theorem:
L² = (AO)² + (BO)²
At the moment t when the airplanes are far away as 70 and 240 miles per hour
L² = (70)² + ( 240)²
L² = 4900 + 57600
L = √62500
L = 250 miles
In general
L² = x² + y²
That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:
L² = x² + y² where x and y are the legs ( that legs change in time then):
Tacking derivatives on both sides of the equation
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt
By substitution: since Dx/dt = 280 m/h and Dy/dt = 960 m/h
2*(250)*DL/dt = 2*70*280 + 2*(240)*960
500*DL/dt = 39200 + 460800
DL/dt = 500000/ 500
DL/dt = 1000 miles/hour
25 PTS PLEASE HELP QUICK
(not related to the question but please add thx i want friends)
OK THX THE QUESTION IS BELOW
Answer:
-3
Step-by-step explanation:
just plug in the points on the line into y2-y1/x2-x1
xy^-3 is equivalent to ______
Answer:
xy3 your welcome tell me if I got it right ✅
What is the surface area?
4 ft
4 ft
4 ft
The surface area of what shape exactly?
Answer:
Hello! answer: 96Step-by-step explanation:
I'm assumung this is a cube sense cubes will equal the same for all 6 sides we just have to find 1 side then just multiply by 6 to get the answer easy peasy!!! so 4 × 4 = 16 and 16 × 6 = 96 so 96 is our surface area Hope that helps!
Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?
Answer:
12
Step-by-step explanation:
number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna
3 ÷ 1 /4
= 3 x 4 = 12
Which could be the function graphed below?
Answer:
The answer is f(x) =√x+4. It would be last one.
Q7 Find the missing angle x
Answer:
Step-by-step explanation:
Thales theorem tells us that B is a 90
and therefore from W to o (center) is 45°
we know the total of the arc VoW is 98
180= 8x +1 + 45 +98
36 = 8x
4.5 = x
x = 4.5
Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07
Answer:
B is the answer to the question.
Step-by-step explanation:
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
Need help ASAP!! WILL give Brainly!!! Need the full equation!! THANK YOU!!
Answer:
[tex]y = - \frac{6}{8}x - 3 [/tex]
1
Circle C has radius 5 and center C(6,-2).
Find the equation of circle C.
A (x + 6)2 + (y - 2)2 = 5
B (z - 6)2 + (y + 2)2 = 5
© (x+6)2 + (y - 2)2 = 25
D (z - 6)2 + (y + 2)2 = 25
10 (-2 + 3y) + 8y = -20
Plz help me with this. Thank you!
Answer:
58 units
Step-by-step explanation:
[tex]7 \times 10 = 70[/tex]
[tex]6 \times 2 = 12[/tex]
[tex]70 - 12 = 58[/tex]
Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66
Answer:
B)
Step-by-step explanation:
x+36=102
x=102-36
x=66
Therefore, substitute x in your formula for x+14
66+14
1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?
Write the equation that is the translation of y = |x|left 6 units and down 4 units.
y = |x-6|-4
y = |x+6|-4
y = |x-4|-6
y = |x+|-6
Answer:
y = |x-6|-4
Step-by-step explanation:
If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.
What is the perimeter of the figure?
A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2
Answer:
A. 34cm
Step-by-step explanation:
ANOTHER KHAN ACADEMY
Answer:
B
Step-by-step explanation:
True for all x.
A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within three years. A 0.95 degree of confidence is to be used. Several years ago, a study revealed that 35% of junior executives left their company within three years. To update this study, how many junior executives should be surveyed
Answer:
972 junior executives should be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
35% of junior executives left their company within three years.
This means that [tex]\pi = 0.35[/tex]
0.95 = 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
To update this study, how many junior executives should be surveyed?
Within 3% of the proportion, which means that this is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2[/tex]
[tex]n = 971.2[/tex]
Rounding up:
972 junior executives should be surveyed.
A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!
Answer:
64 ounces of soda
Step-by-step explanation:
for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64
What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.
Answer:
see below
Step-by-step explanation: 5 25 14 16
the graph shows the roots of the polymonimal to be
x = 0 and x - 4 = 0 x = 4 when y or f(x) = 0
f(x) = x(x-4) = x² - 4x
f(x) = x² - 4x
when x = 0 f(x) = 0
x = 2 f(x) = 2² - 4(2) = -4
x = 4 f(x) = 4² - 4(4) = 0
The factorization of the polynomial graphed are,
⇒ y = x (x - 5)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have been given graph of polynomial.
This is in parabolic shape.
So, this is graph of quadratic function.
Hence,, there will be two zeroes.
And also number of zeroes of a function is equal to the number of times graphs cuts x-axis
Here, we can see graph cuts at (0,0) and (5,0).
So, the Factors will be:
(x - 0) and (x - 5).
Since, If x = 0 is a zero then it means factor will be (x)
Similarly, If x = 5 is a zero then it means factor will be (x-5).
Thus, the factorization of the polynomial graphed are,
⇒ y = x (x - 5)
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