triangles and are isosceles. angle has a measure of 84 degrees and angle has a measure of 24 degrees. find the measure of angle .
Geometry how to combine the like terms. -2x+3y-5x—8y+9y
Answer:
The expression in the question is given below as
[tex]-2x+3y-5x—8y+9y[/tex]Step 1:
Collect the similar terms and then add and substract them
Similar terms are ( -2x and -5x)
The similar terms also are (+3y ,-8y +9y)
By rearranging the terms, we will have
[tex]\begin{gathered} -2x+3y-5x—8y+9y \\ =-2x-5x+3y-8y+9y \end{gathered}[/tex]Step 2:
By simplifying the terms, we will have
[tex]\begin{gathered} -2x-5x+3y-8y+9y \\ =-7x-5y+9y \\ =-7x+4y \end{gathered}[/tex]Hence,
The final answer = -7x +4y
Solve for x.Question options:A) 11 B) 13 C) 12 D) 10
Line YZ is the midsegment of triangle QRS because it connects the midpoints of lines QR and RS. We would solve for x by appying the midsegment theorem which states that the midsegment is half the length of the third side or base. This means that
YZ = 1/2(QS)
x + 2 = 1/2 * (3x - 8)
2(x + 2) = 3x - 8
By opening the parenthesis, we have
2x + 4 = 3x - 8
Collecting like terms, we have
3x - 2x = 4 + 8
x = 12
Option C is correct
Complete the table about a retiree’s investments:a. 0.05xb. 0.05 + xc. 0.05 - x d. x —— 0.05
SOLUTION
From the first row, the 4th column was derived by
[tex]4x\times0.08=0.32x[/tex]Therefore, IRA becomes, we do the same pattern of multiplication
[tex]x\times0.05=0.05x[/tex]Hence, option A is the correct answer.
A circular table has a radius of 2 1/2ft. Find its circumference
Given:
The radius of the circle is 2 1/2 ft.
To find:
The circumference of the circle
Explanation:
Using the formula of the circumference of the circle
[tex]C=2\pi r[/tex]On substitution we get,
[tex]\begin{gathered} C=2\times\frac{22}{7}\times2\frac{1}{2} \\ =2\times\frac{22}{7}\times\frac{5}{2} \\ C=\frac{220}{14}ft \\ C=\frac{110}{7}ft \\ C=15\frac{5}{7}ft \end{gathered}[/tex]Final answer:
The circumference of the circle is,
[tex]\begin{gathered} \frac{110}{7} \\ (or) \\ 15\frac{5}{7}ft \end{gathered}[/tex]In decimal,
[tex]C\approx15.71ft[/tex]Score on last try: 0 of 7 pts. See Details for more.> Next questionGet a similar questionYou can retry this question belowWater Pressure ApplicationIn certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth5of d feet below the surface, is given by the following equation P = 15+ d. Use this equation to13complete the statements below. Round your answers to the nearest tenth as needed.PThe pressure of sea water is 100 pounds per square foot at a depth of 1surface of the water.Ifeet below the+The pressure of sea water is 67.5x pounds per square foot at a depth of 80 feet below thesurface of the water.Question Help: D Video D Post to forum
1. The pressure of sea water is 100 pounds per square foot (P=100) at a depth (d):
[tex]100=15+\frac{5}{13}d[/tex]Solve d:
[tex]\begin{gathered} \text{Subtract 15 in both sides of the equation:} \\ 100-15=15-15+\frac{5}{13}d \\ \\ 85=\frac{5}{13}d \\ \\ \text{Multiply both sides of the equation by 13/5:} \\ \frac{13}{5}\cdot85=\frac{13}{5}\cdot\frac{5}{13}d \\ \\ 221=d \\ \\ d=221 \end{gathered}[/tex]Then, The pressure of sea water is 100 pounds per square foot at a depth of 221 feet below the surface of the water2. Find the pressure of the water (P) when d=80
[tex]\begin{gathered} P=15+\frac{5}{13}(80) \\ \\ P=15+\frac{400}{13} \\ \\ P=\frac{195+400}{13} \\ \\ P=\frac{595}{13} \\ \\ P=45.8 \end{gathered}[/tex]Then, the pressure of sea water is 45.8 pounds per square foot at a depth of 80 feet below the surface of the water"What is the correct standered form of a circle equation?"
(x-h)^2 + (y-k)^2 = r^2
where:
(h,k) = center of the circle
r= radius of the circle
A man leaves Miami to San Francisco if he leaves at 10:40 am. The trip takes 5 hours and 50 minutes and there is a difference of 3 hours less at what time he arrives in San Francisco?
Answer:
[tex]\text{ He arrives at 1:30 PM to San Francisco}[/tex]Step-by-step explanation:
Time at Miami: 10:40 AM.
If the trip takes 5 hours and 50 minutes, add up to the original time at Miami. It would be:
[tex]4\colon30\text{ PM }[/tex]Then, since there is a difference of 3 hours less in San Francisco:
[tex]1\colon30\text{ PM}[/tex]I would like help in this project from question 2-5 and the other side from questions 1-5 also
1.
From the graph given us, the point of intersection of the 2 linear functions is where the salaries are equal.
We will find that to be Year 5
Therefore. at Year 5, both basketball & baseball players earn an equal salary of about $350,000
2.
The y-intercept refers to the point that the straight line touches the y-axis & is given by:
[tex]\begin{gathered} ForBasketballPlayers\colon \\ y-intercept=90 \\ \\ ForBaseballPlayers\colon \\ y-intercept=150 \end{gathered}[/tex]We will proceed to obtain the equation for the functions as shown below:
[tex]\begin{gathered} y=mx+b------------1 \\ m=\frac{y_2-y_1}{x_2-x_!}-----------2 \\ where\colon m=slope,b=y-intercept \\ \\ \text{For Basketball Players: we have these points lying on the straight line:} \\ (x,y)=\mleft(0,90\mright),(5,350) \\ m=\frac{350-90}{5-0}=\frac{260}{5}=52 \\ m=52 \\ \text{Substitute the value of ''m'' into equation 1, we have:} \\ y=52x+90 \\ \\ \text{For Baseball Players: we have these points lying on the straight line:} \\ (x,y)=(0,150),(5,350) \\ m=\frac{350-150}{5-0}=\frac{200}{5}=40 \\ m=40 \\ \text{Substitute the value of ''m'' into equation 1, we have:} \\ y=40x+150 \end{gathered}[/tex]Therefore,
For basketball players, the equation is: y = 52x + 90
For baseball players, the equation is: y = 40x + 150
3.
A = (46, 2000)
B = (37, 2000)
4.
The average Basketball player salary is $8.2 million as compared to that of $2 million from here
The average Baseball player salary is $4.17 million as compared to that of $2 million from here
Hence, the average Basketball player salary is 4 times larger than that we have here & the average Baseball player salary is 2 times larger than that we have here
5.
The average salary of Football players is $860,000 which is about 10 times smaller than that of the average Basketball player & about 5 times smaller than that of an average Baseball player
Don is a barangay scholar in a college. To keep his scholarship, he needs to maintain a grade point average of 90 per semester. The following are his grades in the first semester: 85, 84, 90, 88, 89, 90, 92, 89, and 90. Will Don be able to reach the required grade for his scholarship?
Answer:
• 2. Median = 89
,• 3. Mode = 90
,• 4. Mean = 89
Explanation:
Don's grades in the first semester are as follows:
[tex]85,84,90,88,89,90,92,89,90[/tex]Part 1
The grades arranged from the least to the greatest are:
[tex]84,85,88,89,89,90,90,90,92[/tex]Part 2
The middle grade in the set of Don's grade is 89.
Thus, the median grade = 89.
Part 3
The grade that occurs most frequently is 90.
Thus, the mode = 90.
Part 4
To find the mean grade, sum up the grades and divide by 9.
[tex]\begin{gathered} Mean=\frac{84+85+88+89+89+90+90+90+92}{9}=\frac{797}{9}=88.56 \\ \approx89 \end{gathered}[/tex]Part 5
A valid basis on whether Don maintained his scholarship is the mean. This is a result of the fact that he needs to maintain a grade point average of 90 per semester.
By definition, the word average implies the mean.
Let f(x)=(3)x−3. What is f(1)?
If [tex]f(x)=3x-3[/tex], then [tex]f(1)[/tex] is saying that your x-value is 1. So you substitute 1 in for x and clean it up:
[tex]f(1)=3(1)-3[/tex]
[tex]= 3-3[/tex]
[tex]= 0[/tex]
A punch recipe calls for 3/4 cup of pineapple juice how much pineapple juice is needed to make three batches of the punch
A punch recipe calls for 3/4 cup of pineapple juice how much pineapple juice is needed to make three batches of the punch
you can easily solve this by using a rule of three
Which graph is the solution to this system y-4x=-1y+x=4
First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
What is the Midpoint for (-1,-6) and (-6,5) What is the Midpoint for (-3.1, -2.8) and (-4.92,-3.3)
The formula for determining midpoint is expressed as
Midpoint = (x1 + x2)/2 , (y1 + y2)/2
For the first question,
x1 = - 1, y1 = - 6
x2 = - 6, y2 = 5
Midpoint = (- 1 + - 6)/2 , (- 6 + 5)/2
Midpoint = (- 1 - 6)/2 , (- 1)/2
Midpoint = - 7/2, - 1/2
For the second question,
x1 = - 3.1, y1 = - 2.8
x2 = - 4.92, y2 = 3.3
Midpoint = (- 3.1 + - 4.92)/2 , (- 2.8 + 3.3)/2
Midpoint = (- 3.1 - 4.92)/2 , (0.5)/2
Midpoint = - 8.02/2 , 0.25
Midpoint = - 4.01, 0.25
Graphing Using a CalculatorInstructions: Use a graphing calculator to approximate the zerosand vertex of the following quadratic functions. Round to onedecimal place, if necessary. Fill in solutions least to greatest (leftto right).y=x2 - 4x +1Vertex: (2 -3Solutions:and
y = x^2 -4 x + 1
Consider x^2 -4 x + 1 = 0
Using the Quadratic Formula:
x 1 = - 0. 3 ( 1 decimal place) x2 = -3.7 ( 1 decimal place)
Danielle bought a set of mixing bowls yesterday. They originally cost 23 dollars. She had a coupon for 5 percent off and the sales tax rate is 5 percent . How much did the mixing bowls cost?
Danielle bought a set of mixing bowls yesterday.
The original cost was $23.
She had a coupon for 5% off
Let us find 5% of 23 and then subtract it from the original cost.
[tex]\frac{5}{100}\times\$23=\$1.15[/tex]So, the cost after 5% off will be
[tex]\$23-\$1.15=\$21.85[/tex]But there is also 5% sales tax, that she has to pay so we need to find out 5% of 21.85 and add to it.
[tex]\frac{5}{100}\times\$21.85=\$1.09[/tex]So, the final cost is
[tex]\$21.85+\$1.09=\$22.94[/tex]Therefore, the mixing bowls cost $22.94.
What is the measure of AngleJKL?
ANSWER
m∠JKL = 120º
EXPLANATION
By the exterior angle theorem, which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles:
[tex]\begin{gathered} m\angle JKL=m\angle KJH+m\angle JHK \\ m\angle JKL=96º+24º \\ m\angle JKL=120º \end{gathered}[/tex]how many people scored below 80
If we saw the graph below 80 we have
the first bar with 2
and the second bar with 9
so we need to sum these numbers
9+2=11
the correct answer is 11
Hi, can you help me answer this question please, thank you:)
Given:
The total number of people are T = 267.
Explanation:
(a)
Determine the total number of teens.
[tex]\begin{gathered} t=39+43+25 \\ =107 \end{gathered}[/tex]The probability for the person to be a teen is,
[tex]\begin{gathered} P(t)=\frac{107}{267} \\ =0.4007 \end{gathered}[/tex](b)
Determine the number of people like the vanilla.
[tex]\begin{gathered} v=22+43+44 \\ =109 \end{gathered}[/tex]Determine the propability for the person selected likes the Vanilla.
[tex]\begin{gathered} P(v)=\frac{109}{267} \\ =0.4082 \end{gathered}[/tex](c)
Determine the number of people that are teen or likes the vanailla.
[tex]\begin{gathered} v\text{ OR t=}22+43+44+39+25 \\ =173 \end{gathered}[/tex]Determine the probability for a selected person is a teen or like the vanilla.
[tex]\begin{gathered} P\text{ (v or t)=}\frac{173}{267} \\ =0.6479 \end{gathered}[/tex](d)
The number of person that is teen and likes strawberry best are 25.
Determine the probability for selected person is teen and likes strawberry best.
[tex]\begin{gathered} P\text{ (t and s)=}\frac{25}{267} \\ =0.0936 \end{gathered}[/tex](e)
Determine the number of persons that are children.
[tex]\begin{gathered} C=21+22+9 \\ =52 \end{gathered}[/tex]Determine the number person that are children and likes strawberry best.
[tex]\text{ C and s=}9[/tex]So probability for the person likes the strawbwerry given that person is children is,
[tex]\begin{gathered} P\text{ (s|C)=}\frac{P\text{ (s and c)}}{P\text{ (c)}} \\ =\frac{\frac{9}{267}}{\frac{52}{267}} \\ =\frac{9}{52} \\ \approx0.1731 \end{gathered}[/tex](f)
The number of persons who likes the strawberry best is,
[tex]\begin{gathered} s=9+25+25 \\ =62 \end{gathered}[/tex]Determine the probability for person is teen given that person likes strawberry best.
[tex]\begin{gathered} P\text{ (}t|s\text{)}=\frac{P\text{ (t and s)}}{P(s)} \\ =\frac{\frac{25}{267}}{\frac{62}{267}} \\ =\frac{25}{62} \\ =0.4032 \end{gathered}[/tex]Answer:
Is a teen: 0.4007
Likes vanilla the best: 0.4082
Is a teen or likes the Vanilla the best: 0.6479
Is a teen and likes the strawberry best: 0.0936
Likes strawberry the best GIVEN the person is child: 0.1732
Is a teen GIVEN that person likes the strawberry best: 0.4032
.Ms. Lee has a reward system in heri class. When all of her studentsbehave well she rewards them by| drawing stars on a chart Whenthe chart has 200 stars or more,I the class has a party right now theclass has 28 stars. Write and solvean inequality to find how manyI more times the class needs to berewarded to earn a party.
Given:
When all the students behave well then Ms. Lee reward them by drawing stars on a chart.
The chart has 200 or more starts the class has a party.
Now, the class has 28 stars.
The inequality is,
[tex]28+x\ge200[/tex]Now, solve the inequality,
[tex]\begin{gathered} 28+x\ge200 \\ x\ge200-28 \\ x\ge172 \end{gathered}[/tex]That means the class need 172 or more to be rewarded to earn a party.
Translate to a proportion. Do not solve What is 34% of 75?
What is 34% of 75?
Apply proportion
75/100=x/34
x=(75/100)*34
x=25.5answer is75/100=a/34What is the line's slope? - -2 2 -2 -4 - 6
Answer:
slope = -5
Explanation:
The slope of the line is defined as the rise / run. In the words, for each
Which statement best compares the slopes and y intercepts of the two functions Function 1 has a greater slope and greater y-intercept than Function 2.Function 2 has a greater slope and greater y-intercept than Function 1.Function 1 has a greater slope and leşser y-intercept than Function 2. Function 2 has a greater slope and lesser y-intercept than Function 1.
From function 1:
[tex]\begin{gathered} y=\frac{1}{3}x+2 \\ m=\text{slope}=\frac{1}{3} \\ b=y-\text{intercept}=2 \end{gathered}[/tex]For function 2:
[tex]\begin{gathered} (x1,y1)=(-3,-3) \\ (x2,y2)=(3,0) \\ m=\frac{0-(-3)}{3-(-3)}=\frac{3}{6}=\frac{1}{2} \\ \text{ Using the point slope equation:} \\ y-y1=m(x-x1) \\ y+3=\frac{1}{2}(x+3) \\ y=\frac{1}{2}x+\frac{3}{2} \\ y=\frac{1}{2}x-\frac{3}{2} \end{gathered}[/tex]Therefore: Function 2 has a greater slope and lesser y-intercept than Function 1.
What is the x-intercept of: 3y+x=6?
The x-intercept is the value of x when y=0, is the point of the function where the line intersects with the x-axis.
To calculate said point you have to replace the formula with y=0 and solve for x:
[tex]\begin{gathered} 3y+x=6 \\ 3\cdot0+x=6 \\ x=6 \end{gathered}[/tex]The coordinates for the x-intercept of the given function are (6, 0)
how much will you have after 10years with $2,500 principal earning 6% , compounded monthly ? Round to the nearest cent .
Answer:
Explanation:
Given the following:
Principal (P) = $2,500
Rate (R) = 6% = 0.06
Time (T) = 10 years
The Compound Interest is:
[tex]I=P(1+R)^T[/tex][tex]undefined[/tex]The base of a right prism is a rhombus with diagonals of 6 and 8. If the altitude of the prism is 12, what is the total surface area of this prism?A. 240 units²B. 288 units²C. 264 units²D. 312 units²
Our prism has 6 faces. 2 equal basis and 4 equal sides. To calculate the area of the base, we just have to use the area formula since we already know the value for the diagonals. To calculate the area of the sides of our prism we have to calculate the side length of the rhombus.
A rhombus has the following properties:
Opposite angles are equal. All sides are equal and, opposite sides are parallel to each other. Diagonals bisect each other perpendicularly.
Since the diagonals bisect each other perpendicularly, half the diagonals and the side of the rhombus form a right triangle.
Using the pythagorean theorem, we can determinate the side length our rhombus.
[tex]\begin{gathered} (\frac{6}{2})^2+(\frac{8}{2})^2=s^2 \\ 3^2+4^2=s^2 \\ s=\sqrt{9+16} \\ s=5 \end{gathered}[/tex]The side length of our rhombus is equal to 5 units. Now that we have all the measures, we can calculate the total surface area. The area of a rhombus is equal to half the product of the diagonals.
[tex]A_b=\frac{6\times8}{2}=\frac{48}{2}=24[/tex]The sides of our prism are rectangles, therefore, the area is given by the product between its distinct sides.
[tex]A_s=12\times5=60[/tex]Since we have 4 sides and 2 basis, the total surface area is:
[tex]S=2A_b+4A_s=2(24)+4(60)=48+240=288[/tex]The surface area of our prism is equal to 288 units². The answer is option B.
Simplify the expression2.5x + 4.3x - 5⅜b - ¾b
The expression given is:
[tex]2.5x+4.3x-5[/tex]We add like terms (if any) and then simplify.
There are two x's terms, so we add them up and keep "-5" as is.
Thus, we add
2.5x + 4.3x = 6.8x
So, the expression simplifies to:
[tex]\begin{gathered} 2.5x+4.3x-5 \\ =6.8x-5 \end{gathered}[/tex]The answer is:
6.8x - 5
Question 4 Multiple Choice Worth 4 points)Order the set of numbers from least to greatest: 271 2 15.0 271.2 V6,2o vs. 2 2712o şi vs. 271232 273V5Please help!
In order to compare them, we have to make some calculations.
Number #1: 2.71... (periodic)
Number #2: 2 3/4
[tex]2+\frac{3}{4}=\frac{2\cdot4+3}{4}=\frac{8+3}{4}=\frac{11}{4}=2.75[/tex]Number #3: square root of 5
[tex]undefined[/tex]What is the lowest common denominator of 1/3,1/8,and 1/12?
Answer:
24
Step-by-step explanation:
The denominators in these fractions are:
3, 8 and 12
The lowest common denominator is the least common multiple between 3, 8 and 12.
It can be found factoring the three numbers, simultaneously, into prime factors. So
3 - 8 - 12| 2
3 - 4 - 6| 2
3 - 2- 3 | 2
3 - 1 - 3 | 3
1 - 1 - 1
The lowest common denominator is 2³*3 = 24
Write an explicit formula for a(n), the n^th term of the sequence 8, 48, 288,...
Answer:
a(n) = 8 x 6^(n-1)
Explanation:
The sequence 8, 48, 288, ... is geometric because each term is the term before multiply by a common ratio, so:
8
8 x 6 = 48
48 x 6 = 288
Therefore, the equation of a geometric sequence is:
[tex]a_n=a_1r^{n-1}[/tex]Where a1 is the first term of the sequence and r is the common ratio. So, replacing a1 by 8 and r by 6, we get that the equation fo the n^th term of the sequence is:
[tex]a_n=8\cdot6^{n-1}[/tex]So, the answer is:
a(n) = 8 x 6^(n-1)