Answer:
96 degrees
Step-by-step explanation:
Since x is half of 168, its angle measure is 84 degrees. Since x and y are a linear pair, their angle measures must add to 180 degrees, meaning that:
y+84=180
y=180-84=96
Hope this helps!
00What is the length of BC?17А A9 units11 unitsO 15 unitsO 16 units8С
ANSWER:
15 units
STEP-BY-STEP EXPLANATION:
We can determine the BC value we can determine it by means of the Pythagorean theorem, with the hypotenuse 17 and the other side 8, therefore:
\(\begin{gathered} h^2=a^2+b^2 \\ \\ \text{ We replacing} \\ \\ 17^2=8^2+b^2 \\ \\ b^2=289-64 \\ \\ b=\sqrt{225} \\ \\ b=15 \end{gathered}\)Therefore, the length of BC is 15 units.
CD=DA and AE = EB
M FDE=40 degrees
DF=11
m FBE=?
The measure of angle FBE in the figure is 40 degrees
How to determine the measure of the angle FBE?The triangles represent the given parameter
This means that we make use of the triangles (the big and the small triangles) in our computation
Also, from the question, we have the following known parameters
CD = DA
AE = EB
FDE = 40 degrees
The congruent side equations CD = DA and AE = EB imply that the following side lengths are congruent
DE and FBDF and EBSo, we have the following equations
DE = FB
DF = EB
This also means that DFBE is a parallelogram
The opposite angles of a parallelogram are congruent
So, we have
angle FBE = angle FDE
Substitute the known values in the above equation, so, we have the following representation
angle FBE = 40 degrees
Hence, the angle is 40 degrees
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Write an equation of the line with the given slope, m, and y-intercept (0,b).
m = 8, b = 9
Answer:
Equation: Y=8x+9, y-intercept: (0,9)
Step-by-step explanation:
An equation is set up in the format of y = mx+b, so simply plug the appropriate numbers in for those variables.
Let f(x) = v= -6 and g(x) = 22 +5.(fog)(x) =m(gof)(x) =
Ok, so
Given:
\(\begin{gathered} f(x)=\sqrt[]{x}-6 \\ g(x)=x^2+5 \end{gathered}\)We want to find (fog)(x) and (gof)(x).
First, let's find (fog)(x).
This is:
\((fog)(x)=f(g(x))=f(x^2+5)\)So we're going to evaluate f in (x2 + 5).
\(f(x^2+5)=\sqrt[]{x^2+5}-6\)Now, let's find (gof)(x). This is:
\((gof)(x)=g(f(x))=g(\sqrt[]{x}-6)_{}\)So we're going to evaluate g in the function f.
\(g(\sqrt[]{x}-6)=(\sqrt[]{x}-6)^2+5\)Jon had dinner at Red Robin. His total bill came out to be $17.65. If he wants to leave an 18% tip, how much tip should he leave? the answers are 3.18, 0.98, 317.70, 4.12Which is the answer?
Bill : $17.65
Tip percentage : 18%
To calculate the tip amount, multiply the Dinner cost (17.65) by the tip percentage in decimal form ( divided by 100 )
17.65 x (18/100) = 17.65 x 0.18 = $3.18
What’s 1 times 5 times 2?
Answer:
10
Step-by-step explanation:
Answer:10
Step-by-step explanation:1×5=5×2=10
Solve the system in the photo provided
The values that represent the linear relationship yA = -1.22 and yB = 0.94.
What is the linear relationship between the variables in the table?The values that represent the linear relationship is calculated as follows;
x yA yB
-8 -5 -15
-3 -6 -11
Our equation becomes;
-5yA - 15yB = -8
-6yA - 11yB = -3
Solve the system equation by elimination method as follows;
6 : -30yA - 90yB = -48
5: - (-30yA - 55yB = -15)
----------------------------------------------
-35yB - 33
yB = -33/-35
yB = 0.94
The value of the second constant, yA is calculated as;
-5yA - 15yB = -8
-5yA - 15(0.94) = -8
-5yA - 14.1 = -8
-5yA = 6.1
yA = -6.1/5
yA = -1.22
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Ahmad deposits $3000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 4 years?
Answer:
.......
Step-by-step explanation:
Jahlan, simple interest means that interest is paid every year on the original $4000.
To find 2% of 4000, you multiply 4000(.02) = $80.
Since the interest is the same, 3(80) = $240.
-1083 +(-3974) what is ans
Answer: -5057 if im wrong let me know
Answer:
-5057
Step-by-step explanation:
Simplify the expression:
-1083 + 3974
-1083 - 3974
-5057
Can someone please answer and provide an explanation for these problems?
The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4
What are the segments tangent to the circleA theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.
(25). 2x - 1 = x + 1 {equal tangent segments}
2x - x = 1 + 1 {collect like terms}
x = 2
(26). 2x - 4 = x {equal tangent segments}
2x - x = 4 {collect like terms}
x = 4
Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4
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There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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???????????????????????????????
Answer:
37.5
Step-by-step explanation:
150/4 divide it hope this helps
which shows how to make 10 to add 88
To make 10 to add 8 + 8 is 10 - 2 + 10 - 2 that is 16
Make 10, or Add up using 10 is a derived facts strategy. That means children need to know some facts by hear before they can use a make 10 strategy. The key facts for using a make 10 strategy are 8+2=10 and 9+1=10.
We need to make 10 to add 8 + 8.
8 + 8 = (10 - 2) + (10 - 2)
8 + 8 = 10 - 2 + 10 - 2
8 + 8 = 20 - 4
8 + 8 = 16
Thus, to make 10 to add 8 + 8 is 10 - 2 + 10 - 2 that is 16
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Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading above the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative, 3 with shading above the line. The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
How to determine the required ordered pair?In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;
y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.
Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).
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Answer:
it’s D dotted line with shading below
Step-by-step explanation:
i got it on my quiz
The difference of two trinomials is ___________ a trinomial.
Answer choices:
Always
Sometimes
Never
Answer:sometimes
Step-by-step explanation:
The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 years?
Answer: If im not wrong it should be 1920
Step-by-step explanation:
Rewrite 4(30+5) using the Distributive Property of Multiplication over Addition.
Answer:
Step-by-step explanation:
4(30+5)
4(30)+4(5)
120+20
140
Simplify. .
-(2x – Зу) + 5х + 2 – 3х + Зу + 2
А. 4
В. 4х + 4
С. 6y + 4
D. 4х + бу + 4
Please select the best answer from the choices provided
A
B
ОООО
С
D
Answer:
6y+4
Step-by-step explanation:
-(2x-3y) +5x +2 -3x +3y +2
(-2x -3x +5x) (3y +3y) (2 +2)
0 +6y +4
6y +4
graph the equation y=-3x-1
The graph of y=-3x-1 is given in the attachment.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is y=-3x-1
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
In the given equation slope is -3.
Let us find few values of x and y.
x 0 1 2 3 4
y -1 -4 -7 -10 -13
Hence, the graph of y=-3x-1 is given in the attachment.
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Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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A computer salesperson is paid a base amount of $100 for the month. For each computer he sells, he receives $15. This month he would like to make at least $450.
Answer:
He must sell 24 computes
Step-by-step explanation:
100 + 15x = 450
15x = 350
x = 23.33
What does it mean to say that two groups are homogeneous?
Answer:
homogeneous Add to list Share. If a group of things are homogeneous, they're all the same or similar, like a room full of identically dressed Elvis impersonators.
Step-by-step explanation:
circles of radii , and are mutually externally tangent, where and are relatively prime positive integers. find
The ratio of the areas of the two circles equals the square of the ratio of their radii: = 1/4
Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.
The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.
The Pythagorean theorem gives us:
(O1O2)^2 = r1^2 + r2^2
By substituting r1, r2, and O1O2 values, we obtain:
(r1 + r2)^2 = r1^2 + r2^2
By broadening and simplifying, we get:
2r1r2 = r2^2
When both sides are divided by r22, we get:
2r1/r2 = 1
So, r1/r2 = 1/2. r2 = 2r1.
The ratio of the areas of the two circles equals the square of the ratio of their radii:
A1/A2 = (r1/r2)^2 = 1/4
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A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
The cost of insurance for your car is 23% of the cost of your new car. The new car costs $20,000. What's the cost of your insurance for the first year?
$460
$920
$230
Answer:
$460
Step-by-step explanation:
Because if you put 23% over 100 and multiply it by 20,000 you should get that
Solve for x and graph the answer on a number line
2
The solution to the system of inequalities in interval notation is [-2, 1].
How to solve the system of inequalities?Based on the information provided in the image below, we have the following system of inequalities;
-12 < 3x - 6
-3 ≥ 3x - 6
By adding 6 to both sides of the equation (inequality), we have;
-12 < 3x - 6
-12 + 6 < 3x - 6 + 6
-6 < 3x
-2 < x
x > -2 (flip)
-3 ≥ 3x - 6
-3 + 6 ≥ 3x - 6 + 6
3 ≥ 3x
1 ≥ x
x ≤ 1
Therefore, the solution to the system of inequalities is given by:
-2 < x ≤ 1
In interval notation, we have [-2, 1].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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veronica is making a large table in the shape of a trapezoid. she needs to calculate the area of the table she is making the longest side
1. We can see that the number in the bottom box is: 13.5yd.
2. The number in the top box is: 7.5yd.
3. The area of the table = 78.75yd²
What is a trapezoid?A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.
We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.
Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.
Thus, the area of the table, a trapezoid = 1/2(a + b)h
Where a = 7.5yd
b = 13.5yd
height, h = 7.5yd.
Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75
∴ Area of the table, A = 78.75yd²
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Marco is driving to the Grand Canyon his distance from the Grand Canyon decreases 150 miles every three hours after four hours his distance from the Grand Canyon is 200 Mi Marcos distance from the Grand Canyon in Miles Y is a function of the numbers of the hours he drives what is the initial value fine markers distance from the Grand Canyon when he starts to drive
Answer:
-50
Step-by-step explanation:
The Rate of change is -50 and not 50. Don't get mixed.
please answer this
9×(7-4)^2+9
Answer:
90
Step-by-step explanation:
Use the correct order of operations.
9 × (7 - 4)^2 + 9 =
= 9 × 3^2 + 9
= 9 × 9 + 9
= 81 + 9
= 90
Answer:
90
Step-by-step explanation:
9*3^2+9
9*9+9
81+9
90