In the diagram, es and PR bisect each other at point T. Find the measure of ZP.SP(x + 48Y96°48°76cannot be determined
Answers
In the diagram shown, triangle PTQ is congruent to triangle RTS. Hence, angle R is congruent to angle P.
Therefore;
2x = x + 48
Collect all like terms,
2x - x = 48
x = 48
Therefore;
Angle P = x + 48
Angle P = 48 + 48
Angle P = 96
Related Questions
solve for x, using the secant lines. 53° 189°
Answers
The measure of the arc opposite to 189° is 136°.
What are secant lines?Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.
The measure of the angle opposite to 189° is x.
To solve for x, we can use the property of alternate interior angles.
The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.
Therefore, the two angles formed by the secant lines inside the circle must have the same measure.
Therefore, 53° + x° = 189°.
Subtracting 53° from both sides, we get x° = 136°.
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Use letters and symbols to name the figure
shown below
Answers
Answer:
AB> sorry if I'm incorrect
Use the drawing tools to form the correct answer on the graph. Plot function f on the graph. f(x)= 3, -9
Answers
The equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
What is the definition of a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,
x=3
x-3=0
The second solution is,
x=-9
x+9=0
Multiply both factor for the function as,
f(x)=(x-3)(x+9)
f(x)=x²+9x-3x-27
f(x)=x²+6x-27
This is the required function. The graph of this function is attached below.
Thus, the equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
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what is 92 to the power of 3? please answer this!
Answers
Answer:
778688
Step-by-step explanation:
because you do 92 times 92 times 92!
please mark brainliest i need 2 more
Find x when () = 2. Please explain step by step
Answers
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
A farmer plans to plant wheat and rye. However, he has only $1200 to spend. Each acre of wheat costs $200 to plant and each acre of rye costs $100 to plant. Moreover, the farmer has to get the planting done in 12 days before it's too late. It takes one day to plant an acre of wheat and 2 days to plant an acre of rye. If the profit is $500 per acre of wheat and $300 per acre of rye. How many acres of each should be planted to maximize profits
Answers
9514 1404 393
Answer:
4 acres each of wheat and rye
Step-by-step explanation:
Let x and y represent acres of wheat and rye, respectively. Then the constraints of the problem are ...
200x +100y ≤ 1200 . . . . . . cost constraint
x + 2y ≤ 12 . . . . . . . . . . . time constraint
The objective is to maximize profit (p):
p = 500x +300y
The constraints can be graphed (see attached). The profit function will be maximized at one of the vertices of the "feasible region," the portion of the graph that satisfies the constraints. The vertices are (x, y) = (0, 6), (4, 4), and (6, 0). The associated profit values are $1800, $3200, and $3000.
Maximum profit is obtained when 4 acres of wheat and 4 acres of rye are planted.
What is the value of g?
580
g
Your answer
Answers
Answer:
32 degrees
Step-by-step explanation:
The total angle formed is 90 degrees because there is a right angle.
So, 90 - 58 = g
32 degrees = g
PLEASE HELP ASAP PLEASE
Answers
Answer:
Yo
So, if ya wanna solve this question and of course questions alike, ya gotta pay attention to the graph. mean All of these parabolic chart have the domain of R
Step-by-step explanation:
So there ya go
D=R
and now bout the range ya gotta find the vertex, which is:
\( x = \frac{ - b}{2a} \: \: y = \frac{Δ}{4a} \)
now pay attention
X=2/–2=–1
y=–(–1)²–2(–1)+3=4
Now the highest point of your parabolic chart is 4 and the lowest point is endless which is (–♾,4]
Well, finally your answer is D
each year america.edu ranks the best paying college degrees in america. the following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the college degrees with the highest mid-career salary (america.edu website). click on the datafile logo to reference the data. degree starting salary mid-career salary % increase aerospace engineering 59,400 108,000 82 applied mathematics 56,400 101,000 79 biomedical engineering 54,800 101,000 84 chemical engineering 64,800 108,000 67 civil engineering 53,500 93,400 75 computer engineering 61,200 87,700 43 computer science 56,200 97,700 74 construction management 50,400 87,000 73 economics 48,800 97,800 100 electrical engineering 60,800 104,000 71 finance 47,500 91,500 93 government 41,500 88,300 113 information systems 49,300 87,100 77 management info. systems 50,900 90,300 77 mathematics 46,400 88,300 90 nuclear engineering 63,900 104,000 63 petroleum engineering 93,000 157,000 69 physics 50,700 99,600 96 software engineering 56,700 91,300 61 statistics 50,000 93,400 87
Answers
Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.
Answer Output using MINITAB software is given below at the end of answer (bar graph)
Frequency:
The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.
The width of class is 10.
Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.
The number of tally marks in each class represents the frequency, f of that class.
Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.
The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.
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6 minutes 20 seconds into seconds.
Answers
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
Answers
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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it takes Molly 0.25 hours to drive to school. her route is 16 km long. what is Molly's average speed on her drive to school?
Answers
Answer:
64
Step-by-step explanation:
16 divided by 0.25 gives you 64 .... welcome
Answer:
64 km/h
I answered it correctly on a mid term
in a class of 30 students, 3 received a grade of an A. what fraction of the class did not receive an A? reduce to the lowest terms
Answers
Answer:
1/10
Step-by-step explanation:
Hope this helps!
If a bank offers to double your money in 8 years, what is the effective rate of interest?
Answers
Answer:
I think I would be 16 cause if 8 double it is 16
The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/15 where x goes between 4 and 19 minutes. Find the probability that the time will be at most 15 minutes.
Answers
Answer:
73.33% probability that the time will be at most 15 minutes.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
\(P(X \leq x) = \frac{x - a}{b-a}\)
Uniform distribution between 4 and 19 minutes.
This means that \(a = 4, b = 19\)
Find the probability that the time will be at most 15 minutes.
\(P(X \leq x) = \frac{x - a}{b-a}\)
\(P(X \leq 15) = \frac{15 - 4}{19 - 4} = 0.7333\)
73.33% probability that the time will be at most 15 minutes.
Brad wants to buy flowers for his friend
with $33. The daisies are $1 each and
the roses are $2 each. He buys 3 more daisies than roses.
how much did the roses cost?
Answers
Answer:
20
Step-by-step explanation:
Answer:
20$ For the Roses
Step-by-step explanation:
Think about it like this. For each daisy (1$), the price is double for roses (2$).
Brad has a limit of 33$. And he bought 3 more daisies than roses.
If each daisy is 1$, and he bought 3+ over roses, take away 3$ to get 30$. If he bought 10 (excluding 3+) Daisies, He must have bought 10 roses.
(10 Daisies = 10$) + (10 Roses = 20$) = 30$
30$ + (3 Daisies = 3$) = 33$
Translate verbal phrases into mathematical expressions
1. The difference of gross sales and total sales
2. The sum of two numbers of less 11
3. Three fourths of 500
Thankyouuuuu !
Answers
Answer:
see i do not know 1st so i am not answer for it
Step-by-step explanation:
2nd) let 1st number be x
and second number be y
so x+y>11 or x+y<11 or x+y=11
this three can be i am not sure about this so just verify from any other source too
3rd) the ans is 500 upon(divided) by 4=125
so 125 multiply by 3 is 375
the correct ans is 375
Graph (4, 5), (2, 3), (-3,0), (-4,-5), (-5, 2), and (-5, 3) and connect the points to form a polygon. How many sides does the polygon have? The polygon has 28 sides.
Answers
Answer:
4
Step-by-step explanation:
8. The dimensions of a lawn shaped like a trapezoid are given in meters.
18 m
4 m
5 m
12 m
The dimensions of a lawn shaped like a trapezoid are given in meters. What is the
area of the lawn?
108 m2
60 m2
72 m2
120 m2
Answers
Answer:
60m²
Step-by-step explanation:
Area of the trapezoid attached = 1/2(a+b)*h
a and b are the opposite sides
h is the height
Given
a = 18m
b = 12m
h = 4m
Substitute
Area of the trapezoid = 1/2(18+12)*4
Area of the trapezoid = 1/2 * 30 * 4
Area of the trapezoid = 120/2
Area of the trapezoid = 60m²
Hence the area of the lawn is 60m²
If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
Answers
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
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Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
Suppose the $2000 is loaned at a rate of 16% compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years. Round your answer to the nearest cent.
Answers
ANSWER
\(\$3,173.75\)EXPLANATION
We want to find the amount owed after 3 years.
To find this, we apply the formula for compound interest:
\(A=P(1+\frac{r}{n})^{nt}\)where P = principal = $2000
r = rate = 16% = 0.16
n = number of times it is compounded per year = 2
t = number of years = 3
Therefore, we have that:
\(\begin{gathered} A=2000(1+\frac{0.16}{2})^{(2\cdot3)}_{} \\ A=2000(1+0.08)^6 \\ A=2000(1.08)^6 \\ A=\$3,173.75 \end{gathered}\)That is the amount owed after 3 years (to the nearest cent)
Use the function f(x) to answer the questions:
f(x) = 2x2 − 5x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answers
The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
2x^2 - 5x + 3 = 0
To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.
2x^2 - 3x - 2x + 3 = 0
x(2x - 3) - 1(2x - 3) = 0
(2x - 3)(x - 1) = 0
Setting each factor equal to zero, we get:
2x - 3 = 0 --> x = 3/2
x - 1 = 0 --> x = 1
Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.
To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.
x = -(-5) / (2*2) = 5/4
Substituting this value of x back into the equation, we can find the y-coordinate:
f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8
Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.
Part C: To graph f(x), we can use the information obtained in Part A and Part B.
- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.
- The vertex is at (5/4, 3/8). This is the minimum point of the graph.
We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.
Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.
By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).
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Estimate V55 to the nearest integer.
Answers
assuming is square root of 55:
You can solve the square root and roound to the nearest number:
√55 = 7.41
Since the number after the decimal point is 4, the square root is closest to 7 than to 5.
You can also campare √55 with closest integers that are perfect square:
below 55, the closest perfect square is 49 = 7^2
above 55, the closest perfect square is 64 =8^2
55-49 = 6
64-55 = 10
Since 49 is closest to 55, it's square root is the nearest. (7)
Which percent is equivalent to 2 5/6?
Answers
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
Solve for x:
- 8x – 4= -7x + 2
Answers
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answers
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Find a • b. a = <5, 2>, b = <4, 5> (2 points) a <20, 10> b <9, 7> c -10 d 30
Answers
The dot product of vectors a and b is option D. 30.
How did we get the value?To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.
Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:
a • b = (5 x 4) + (2 x 5)
= 20 + 10
= 30
Therefore, the dot product of vectors a and b is 30.
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a load of watermelons is 57 kilograms heavier than a load of squash the Lotus cost weighs 34 kilograms how much is a load of watermelons weigh
Answers
The weight of a load of watermelon which is 57 kilograms heavier than a load of squash is; 91kilograms.
The total weight of watermelon is 91 kilograms.
Weight of squash the lotus = 34 kilogramsWeight watermelon = 57 kilograms + Weight of squash the lotus
Total weight of watermelon = 57 kilograms + 34 kilograms
Total weight of watermelon = 91 kilogramsTherefore, the total weight of watermelon is 91 kilograms.
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∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =
Question 4 options:
A)
77°.
B)
103°.
C)
167°.
D)
13°.
Answers
Answer:
B. 103°
Step-by-step explanation:
Supplementary angles add up to 180°, so we can find the measure of angle 2 by subtracting 77 from 180
180 - 77
= 103
So, m∠2 is 103°
100 points!!!
2.5d + 9.75 = 1 + 4.25d
Answers
Answer:
d = 5
Step-by-step explanation:
1.Combine multiplied terms into a single fraction
2.5d + 9.75 = 1 + 4.25d
5d/2+9.75 = 1+4.25d
2.Combine multiplied terms into a single fraction
5d/2 + 9.75 = 1 + 4.25d
5d/2 + 9.75 = 1 + 17d / 4
3.Subtract 9.75 from both sides of the equation
5d/2+9.75 = 1 + 17d/4
5d/2 +9.75 - 9.75 = 1 + 17d/ 4 - 9.75
4.Simplify
Subtract the numbers
Subtract the numbers
5d/2 = -8.75 +17d/4
5. Multiply all terms by the same value to eliminate fraction denominators
5d/2 = -8.75 + 17d/4
2 * 2 * 5d/2 = 2 * 2( -8.75 + 17d/4)
6. Simplify
Cancel multiplied terms that are in the denominator
Multiply the numbers
Multiply the numbers
Distribute
Cancel multiplied terms that are in the denominator
Rearrange terms
10d = 17d - 35
7. Subtract 17d from both sides of the equation
10d = 17d - 35
10d - 17d = 17d - 35 - 17d
8. Simplify
Combine like terms
Combine like terms
-7d = -35
9. Divide both sides of the equation by the same term
-7d = -35
-7d/7 = -35/-7
10. Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
d = -35/-7
d=5
Answer:
D= -35/27 (improper fraction)
Step-by-step explanation:
If you want it as a mixed fraction:
-1 8/27 (8 is the numerator)