Mathematics Middle School


 PQ bisects ∠SPY. m∠SPQ =[tex] \frac{11}{2} [/tex] x-5 and m∠YPQ= 4x- [tex] \frac{5}{2} [/tex]

Solve for x and find m∠SPY

Answers

Answer 1
x = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5

Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5

Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5

Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°

Related Questions

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Answers

Yermin is the closest answer
Yermin is the closest one

Which of the following equations can be used to solve for acceleration
A) acceleration= distance * time

B) acceleration=(change in velocity)/time

C) acceleration = force* distance

D) acceleration = (change in displacement)/time

Answers

Hello!

The answer should be the second option B.

Acceleration is a rate of change in velocity. It involves a change in speed and direction. Change of velocity over a period of time.

Acceleration formula

↓↓↓↓↓↓↓

A=Δv/t

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Final answer:

The equation that can be used to solve for acceleration is acceleration = (change in velocity)/time (Option B).

Explanation:

The equation that can be used to solve for acceleration is acceleration = (change in velocity)/time (Option B).

This equation calculates acceleration by dividing the change in velocity by the time taken.

For example, if an object's velocity changes from 10 m/s to 20 m/s in 5 seconds, the acceleration can be calculated using this equation as (20 m/s - 10 m/s) / 5 s = 2 m/s2.

Learn more about Acceleration here:

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Use the net to find the approximate surface area of the cylinder to the nearest square meter

Answers

302m^2 is the answer.

Answer:

[tex]\text{Surface area of cylinder is }302\thinspace m^2[/tex]    

Step-by-step explanation:

Given the cylinder with radius 3 m and height 13 m. we have to find the surface area of the cylinder to the nearest square meter.

Radius=3 m

Height=13 m

[tex]\text{Surface area of cylinder is }\\\\=2\pi r(r+h)\\\\=2\times\frac{22}{7}\times3(3+13)\\\\=\frac{132}{7}(16)=301,71\sim302\thinspace m^2[/tex]

[tex]Hence,\text{surface area of cylinder is }302\thinspace m^2[/tex]  

Option 3 is correct.              

Please Help Me with this problem.

Answers

-7c-63 im not exactly sure but its close

Eva is jumping on a trampoline. Her height h at time t can be modeled by the equation h=-16t^2+20t+6. Would Eva reach a height of 14 feet?

Answers

Given the equation modeling Eva's height at time,t. To evaluate if she will reach height of 14 ft, we evaluate maximum height that she will reach.
At maximum height h'(t)=0
but
h(t)=-16t^2+20t+6
h'(t)=-32t+20=0
solving for t we get:
-32t=-20
t=20/32
t=5/8
thus the maximum height reached was:
h(5/8)=-16(5/8)^2+20(5/8)+6
h(5/8)=12.25 ft
Thus we conclude that she won't reach the height of 14 ft because her maximum height was 12.25 ft

A function assigns the value of each element of one set to the other specific element of another set. Eva can not reach a height of 14 feet.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the function of the height of the jump, Eva is given as h=-16t^2+20t+6. Now, in order to know if Eva will reach 14 feet height, we need to substitute the value of her height of Eva as 14 feet, therefore,

[tex]h=-16t^2+20t+6\\\\14=-16t^2+20t+6\\\\16t^2 - 20t+14-6=0\\\\16t^2 -20t + 8=0[/tex]

If we calculate the discriminant of the given quadratic equation, we will understand that the given quadratic equation has imaginary roots.

Therefore, Eva can not reach a height of 14 feet.

Learn more about Function:

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A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers day. About how many customers does the local shop serve in a day

Answers

Answer:

about 112 customers

Step-by-step explanation:

we know that

To find out  how many customers does the local shop serve in a day, multiply the fraction 2/9 by the number of customers that the shop run serve in a day

Let

x ----> the number of customers that the shop run serve in a day

y ----> the number of customers that the local shop serve in a day

[tex]y=\frac{2}{9}x[/tex]

we have

x=502

substitute the value of x in the equation

[tex]y=\frac{2}{9}(502)[/tex]

[tex]y=111.6[/tex]

Round up

so

about 112 customers

The local shop serves about 112 customers in a day

Further explanation

Order of Operations in Mathematics follow this following rule :

ParenthesesExponentsMultiplication and DivisionAddition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem.

[tex]\texttt{ }[/tex]

This problem is about Percentage.

A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain.

[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]

[tex]\texttt{ }[/tex]

The shop run by the chain serves 502 customers day.

[tex]\texttt{National Chain's customers} = 502[/tex]

[tex]\texttt{ }[/tex]

[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]

[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times 502[/tex]

[tex]\texttt{Local Shop's customers} = 111\frac{5}{9}[/tex]

[tex]\texttt{Local Shop's customers} \approx 112[/tex]

[tex]\texttt{ }[/tex]

Conclusion:

The local shop serves about 112 customers in a day

[tex]\texttt{ }[/tex]

Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

A flagpole casts a showdown 15 feet long the 6 foot tall man casts a shadow 4 feet long how tall is the flag pole

Answers

set it up as a ratio:
mans shadow over mans height (4/6 ) equals flag pole shadow over flag pole height (15/x)

set them to equal each other:

4/6 = 15/x

cross multiply: 4*x =4x, 15*6 = 90

so you have 4x = 90

now divide both sides by 5 to solve for x, which is the height of the flag pole:

x = 90 / 4 = 22.5 feet tall

If I have a 40 % and my teacher puts in 3 100% what’s my grade ?

Answers

It would be an A if i'm correct.
Your grade would be an 85%. The way you do the math is to add the 3 100% together to get 300%. Then you would add the 40% to the 300% to get 340%. After, you would divide that percentage by four since you added only four numbers. When you divided, you would get 85%.

State which of the following ordered pairs is a function.


Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)

Set B: (1, 4), (2, 3), (3, 2), (4, 1)

Set C: (2, 1), (3, 2), (2, 3), (1, 4)

a. Set A

b. Set B

c. Both Set A and Set B

d. Set C

Answers

the answer is c, you see if the first number repeats

Answer:

c

Step-by-step explanation:

Find the area. The figure is not drawn to scale

Answers

the correct answer is 15.51

two softball players are comparing the throwing distance representing by HSN PF how many feet longer is HF then PF round your answer to the nearest whole number

Answers

Did u find the answer ??? I need it

leah is placing books on a one meter long shelf. If each book is 2 cm wide, how many books will fit on the shelf?

Answers

1 m = 100 cm

1 book = 2cm wide.

Number of books = 100 ÷ 2 = 50 books.

Answer: 50 books can fit on the shelf.

Please help me? Show your work please! I give brainiest! (Or whatever it’s called :) )

Answers

You need to find the hypotenuse of the right triangle.

4² + 9² = c²
16 + 81 = c²
97 = c²
9.85 = c

There are 5,280 ft in a mile.
Multiply 9.85 by 5,280.

9.85 × 5,280 = 52,008
Multiply 52,008 by 110.

52,008 × 110 = 5,720,880

The estimated cost for constructing the street would be $5,720,880.

Plz jphelp me answer this year 7 question and explain how u got the answer.

Answers

The number in each block is the magnitude of the difference of the two numbers below it.

P = |17 -11| = 6 . . . . . selection B

Working from the bottom up, the empty boxes below Q are 16 -12 = 4, 10 -4 = 6. Then ...
Q = 7 -6 = 1 . . . . . selection A

it is an algebra 2 question I do not know if that is allowed. please if anyone can help anyway.
[tex]x \div x - 4 = 2[/tex]

Answers

the arrows are saying to cross multiply

(5 points)

Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant.

Plot a point at the location of the third vertex.

Answers

2,-2 because it goes by the coordinate x,y.

If a = 0.3 with a line over 3 and b = 0.5 with a line over 5, what is the value of a + b?

8/10
8/9
88/100
80/99

Answers

8/10 is the answer i think I"m right  Because 0.3+0.5=0.8 so 8/10=0.8 so that's why i think 8/10 is the answer.

a = 0.3 recursive = 3/9

b = 0.5 recursive = 5/9

a + b  = 3/9 + 5/9 = 8/9

Answer: 8/9

what is the slope w(2,4) and x(-5,-5)

Answers

this is the answer its 9 over 7

how many square feet is 20 ft by 20 ft

Answers

To find out how many square feet 20 feet by 20 feet is, we have to multiply the two quantities. Since 20 * 20 = 400, and feet * feet = feet², 20 feet * 20 feet is 400 feet².

The sum of 6 consecutive integers is 519. What is the third number in this sequence?

Answers

the third integer is 86, hope this helps :)
Let the third number be n. then the series of numbers is n-2, n-1, n, n+1, n+2, n+3. The sum of these numbers should be 519. Add them together and solve for n:
n-2+n-1+n+n+1+n+2+n+3=519
6n+3=519
6n=516
n=86

So the third number is 86.

What does the phrase “at the eleventh hour” mean in this sentence
The members of the House of Representatives approved the budget “ at the eleventh hour”
A) at a particular time of day
B) with unanimous agreement
C) before they needed to
D) at the last minute

Answers

Answer:um

Step-by-step explanation:d

A 6-foot tall person standing with her back to the sun casts an 8-foot long shadow. To the nearest degree, what angle does the sun make with the ground?

Answers

tgα = 6/8 = 0,75
α≈37 °

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Let us suppose the sun has angle of elevation x

The triangle formed will be a right triangle, so

[tex]tan x= \frac{opposite}{adjacent}[/tex]

[tex]tanx = \frac{6}{8}[/tex]

taking tan inverse

[tex]x=tan^{-1}(\frac{6}{8} )[/tex]

[tex]x=36.87[/tex]

To the nearest degree, the angle will be 37 degrees.  :   Answer

Hope it will help :)


75 points
Write and solve an equation to find the measure of ∠NEP. Make sure you show all work.

Answers

Answer:

Angle NEM = 110 degrees


Here's how:

Observe in the figure that Angle NEM = 70 degrees

Angle NEM = straight line,

Therefore:

180 - 70 = 110 

The answer is:

Angle NEM = 110 degrees 

Note that Angle PEQ in the figure is seventy (70) degrees based on what we call "vertical angles theorem" that proves Angle NEM  to be equal to our answer 110 degrees since NEQ is 180 degrees.

Answer:

your anser is 110

Step-by-step explanation:

180 - 70 = 110

A round of table has a diameter of 28 inches. What is the area of the tabletop? Use 22/7 for pi

Answers

Radius = Diameter ÷ 2 = 28 ÷ 2 = 14 inches

Area = π r² = 22/7 x (14)² = 616 in²


Answer: 616 in²
A = πr2
1936 or 616
Probably 616 though




-61/12=b-4/3 help me out please

Answers

-61/12= b - 4/3
add 4/3 to both sides

-61/12 + 4/3= b
convert 4/3 to like denominator; 3 goes into 12 four times and 4*4= 16/12

-61/12 + 16/12= b
combine numerators

(-61 + 16)/12= b

-45/12= b
simplify by 3

-15/4= b


ANSWER: -15/4= b

Hope this helps! :)
(27/7) = b

See attached for work

Two people start walking at the same time in the same direction. One person walks at 8 mph and the other person walks at 2 mph. In how many hours will they be 4.5 miles apart?

Answers

time = distance/speed

The distance between the walkers increases at the rate of (8 mph) -(2 mph) = 6 mph. That distance will be 4.5 mi after ...
  (4.5 mi)/(6 mi/h) = 4.5/6 h = 3/4 h

In 3/4 hour they will be 4.5 miles apart.

Final answer:

Two people walking at 8 mph and 2 mph, respectively, will be 4.5 miles apart in 0.75 hours, or 45 minutes, because they are moving apart at a relative speed of 6 mph.

Explanation:

To calculate the time it will take for two people walking at different speeds to be 4.5 miles apart, we need to find the relative speed at which they are moving apart. The first person walks at 8 miles per hour (mph), and the second person walks at 2 mph. The relative speed is the difference in their speeds, which is 6 mph (8 mph - 2 mph).

We know that they want to be 4.5 miles apart. To find the time (t), we use the formula distance = speed × time, or rearranged to solve for time, time = distance / speed. Plugging in our values we get time = 4.5 miles / 6 mph, which simplifies to 0.75 hours. Therefore, it will take them 0.75 hours or 45 minutes to be 4.5 miles apart.

solve 2x-3y=5 x=4y+5 using the substitution method

Answers

the answer is -1,1 ------ y is -1 and x is 1 because when you substitute for x , which is 4y+5 in the equation 2x-3y=5, you get y as -1. They all you have to do is use y in the equation and figure out what x is as well while solving...:):)
We’ve already been given a value of x so we can use that the find the value of y first.

Substitute x=4y+5 into the first equation
2(4y+5)-3y=5
8y+10-3y=5
Subtract both sides by 10
5y=-5
Divide both sides by 5
y=-1

Now that we have a value of y we can put that value into any equation and we will get the value of x

I will do it to both equations to prove it


2x-3(-1)=5
2x+3=5
Subtract both sides by 3
2x=2
Divide both sides by 2
x=1

x=4(-1)+5
x=1

So your final answer is x=1 and y=-1

State whether a side of the aquarium is best modeled by a point, a line, a ray, or a plane.
A) RAY B) POINT C) LINE D )PLANE

Answers

Answer: C)Line
Hope this helps!
Plz mark Brainliest!

Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct? The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right. The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right. The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right. Mark this and return

Answers

Answer:

B: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.

Step-by-step explanation:

edg2021

dependent means it depends on something, such as the independent variable that will change it

The independent variable influences the dependent variable in a scatterplot regardless of whether the relationship is positive (upward slope) or negative (downward slope), which is shown by the direction in which the points trend.

The correct statement is: The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right. This means that the independent variable can have either a positive relationship or a negative relationship with the dependent variable. If there is a positive relationship, as the independent variable increases, the dependent variable also increases and vice versa. Conversely, in a negative relationship, as the independent variable increases, the dependent variable decreases, and as the independent variable decreases, the dependent variable increases. A scatterplot is a tool that helps visualize these relationships, with the independent variable typically plotted on the horizontal axis and the dependent variable on the vertical axis. The slope of the points in a scatterplot indicates the direction of the relationship, which can be assessed by observing whether most points lie around a line that slopes upwards or downwards.

A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 5 .

1. 1 / 6
2. 1 / 3
3. 1 / 4
4. 2 / 3

Answers

Hello!

To find the probability you put the amount of favorable outcomes over the total amount of outcomes

The cube has numbers 1 - 6 on it

Only 1 number is greater than 5 (6)

That gives us 1 favorable outcome and 6 total outcomes

The answer is A) 1/6

Hope this helps!

The probability of rolling a number greater than 5 is 1/6.

What is probability?

Probability is the ratio that shows the likelihood an event will occur or not from a given set of events.

We can find the probability of rolling a number greater than 5 below:

The total number of faces that have a number greater than 5 = 6.

The total number of faces = 6.

Therefore, the probability of that can be found as shown below:

P( rolling a number greater than 5 ) = The total number of faces that have a number greater than 5/The total number of faces

= 1/6

We have found the probability.

Therefore, we have found that the probability of rolling a number greater than 5 is 1/6.

Learn more about probability here: https://brainly.com/question/251701

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