Answers
Answer:
m∠QPT = 32°
Step-by-step explanation:
∠QPT and ∠SPR are vertical angles, meaning that the measure of their angles are congruent (the same).
Vertical angles are formed when two lines intersect, creating opposite angles. Those opposites are congruent (equal).
Step 1: Set the measure of the angles to equal each other.
[tex]\implies m \angle QPT = m \angle SPR[/tex]
[tex]\implies (2x+12) = (4x - 8)[/tex]
Step 2: Subtract 4x from both sides.
[tex]\implies 2x-4x+12 = 4x - 4x - 8[/tex]
[tex]\implies -2x+12 = - 8[/tex]
Step 3: Subtract 12 from both sides.
[tex]\implies -2x+12-12 = - 8-12[/tex]
[tex]\implies -2x = -20[/tex]
Step 4: Divide both sides by -2.
[tex]\implies \dfrac{-2x}{-2} = \dfrac{-20}{-2}[/tex]
[tex]\implies x = 10[/tex]
Step 5: Find the measure of ∠QPT by substituting 10 for x.
[tex]\implies [2(10)+12]^{\circ}[/tex]
[tex]\implies 32^{\circ}[/tex]
Therefore, the measure of ∠QPT is 32°.
Related Questions
Jordan and his friends bought a few items from a store. a bag of chips is 1/4 the cost of a sandwich . A soda is 3$less than a sandwich.
Write an expression to represent the items
Answers
(9/4)x - 3 = total cost of the items, where x is the cost of a sandwich.
For the items individually,
(1/4)x = y, where y is the cost of a bag of chips.
x - 3 = z, where z is the cost of a soda.
Combining each individual expression, it becomes:
x + y + z = total cost.
(x) + ((1/4)x) + (x-3) = total cost
= (9/4)x - 3
This assumes Jordan and his friends bought a sandwich + soda + bag of chips.
You could try writing without variables to help picture the expression:
(1/4)sandwich = bag of chips
and
sandwich - $3 = soda
If x represents the cost of a sandwich, this can be rewritten as:
x + x - 3 + (1/4)x
There are like terms with x, so it can simplify further: (9/4)x - 3 = total cost of the items.
Hopefully this makes sense!
Answer:
I have the same answer and I don't knownit
Shay, Jeremy, and Briana dive into a deep lake. Shay dives to a depth of - 2 ¾ meters from the surface of the lake. Jeremy’s depth is 0.50 meters deeper than Shay’s dive. Briana’s depth is ⅘ the depth of Jeremy’s dive. What is Briana’s depth?
0.40 meters
For a science experiment, Shanice recorded the temperature outside for five days. On the first day, the temperature was 4.5˚C. The next day, the temperature dropped 3 degrees. Following that, the temperature increased by 1.9 degrees, then dropped by 4.2 degrees, and finally dropped by 3.4 degrees again.
What was the average change in temperature? Show your thinking.
Over the past 3 ½ years, the water level in a water tank has decreased by 0.6 feet per year. If the water level is 11.4 feet today, what was the water level 3 ½ years ago? Show your thinking.
Compute.
15623= 11/6 x 3/2=11/2x1/2= 2 3/4
In December the temperature before sunrise was -5℉. The temperature then rose an average of ¼ degree each hour for 4 hours before dropping an average of 1 ¾ degrees each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 7 hours?
6a. What is 314+56 ?
6b. Compute. 412123
6c. Compute. 124
18
16
2
8
Answers
Answer:
shay is at a 0.50 meters and Jeremy is not
Step-by-step explanation:
Jared is trying to save up to buy a car. He has already saved
$400. He makes $20 an hour (h) at his job. Jared needs to
have $1200 or more in order to buy the car he wants.
Write an inequality to represent the number of hours Jared
will have to work in order to save enough money to buy the
car.
Select one:
O 20h + 1200 ≤ 400
O 1200h + 400 > 20
O 400h+20 > 1200
O 20h-400 ≥ 1200
O 20h + 400 > 1200
O 400h+20 > 1200
Answers
Answer:
20h+400>=1200
Step-by-step explanation:
400 is the money Jared already has
20 is what he earns per hour
h is how many hours he works
1200 is the total he needs to buy the car
Answer:
the answer is 20h+400>1200
Simplify fully 2(m+11)/10m
Answers
On simplifying the given equation, the result would be: 1/5 + 11/5m
How to simplify expressions?The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.
The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.
Let's review a few key words that are utilized while simplifying an expression:
In an algebraic expression, a variable is a letter whose value is unknowable.
A numerical value used in conjunction with a variable is the coefficient.
A phrase with a known value is referred to as a constant.
Similar letter and power variables are referred to as like words. Sometimes various coefficients might be found between like terms. For instance, the phrases 6x2 and 5x2 are comparable because they both have variables with exponents of 2. Similar to this, 7yx and 5xz are dissimilar concepts because they each have unique variables.
The fundamental guidelines and procedures to simplify any algebraic statement are as follows:
-By multiplying factors, remove any grouping symbols like brackets and parenthesis.
-If the terms contain exponents, use the exponent rule to eliminate grouping.
-Add or subtract like terms to combine them.
Add the constants together.
As per the question:
2(m+11)/10m =(m+11)/5m
=1/5 + 11/5m
To know more about simplifying expressions, visit:
https://brainly.com/question/22860327
#spj13
10. The cost of one movie ticket for an adult is 1.6 times the cost of a ticket for a child. If a equals the cost of one adult ticket and c equals the cost of one child ticket, which equation represents the relationship between a and c? A. c= 1.62B. 1.6 =a -cC. a = 1.6cD 1.6 =a + c
Answers
1) Gathering the data
a =adult ticket
c= 1 child ticket
2) According to the question, we can write:
a=1.6c
Note that the ticket for the adults is more expensive than for kids. So we can state this about both prices of tickets
a =1.6c
How do u distributive property to find the product 27x34=27x(30+4)
Answers
The distributive property for the product of 27x34 will give a value of 918.
What is distributive property?It should be noted that distributive property simply means that one can distribute the contents of the parentheses into the other so that one can get the answer.
The distributive property is illustrated as:
a × (b + c) = a×b + a×c
In this case, using distributive property to find the product 27x34 will be:
=27x(30+4)
= 27 × 30 + 27 × 4
= 810 + 108
= 918
Learn more about distributive property on:
brainly.com/question/4077386
#SPJ1
the product of two positive consecutive integers is 132. find the integers
Answers
The two positive consecutive integers with product of 132 are 11 and 12
How to determine the integers?From the question, the statement is given as
the product of two positive consecutive integers is 132.
Represent the consecutive integers with x and y
Where y = x + 1
So, we have
the product of x and y is 132.
Mathematically, this can be represented as
x * y = 132
Substitute y = x + 1 in x * y = 132
x * (x + 1) = 132
Express 132 as 11 * 12
x * (x + 1) = 11 * 12
This means that
x =11
Substitute x =11 in y = x + 1
y = 11 + 1
Evaluate
y = 12
Hence, the integers are 11 and 12
Read more about consecutive integers at
https://brainly.com/question/12050093
#SPJ1
Write as a monomial in standard form.
Answers
The expression will be written in monomial standard form as -64x⁶a³.
A monomial may be defined as an expression which consists of only one term. If we are to write an expression in monomial standard form, then we will have to form an expression consisting of numbers and variable along with their powers. The variable containing the maximum power will be written first and so on. In the question we have to write monomial standard form of third power of (-4ax³). This can be written as
(-4ax³)³ and on further expanding
-64a³x⁶, but in standard from we write the variable having maximum power first, so we rearrange the terms, and we get
-64x⁶a³ which is the required answer.
Learn more about Standard form at:
brainly.com/question/11859115
#SPJ1
What is the equation of the line that passes through the point (-2, -2) and has
slope of 3?
Answers
Diego bought some raisins and walnuts to make trailmix. Raisins cost $4 a pound and walnuts cost $8 apound.Diego spent $24 on both ingredients. Diego bought atotal of 5 pounds of raisins and walnuts combined.There are two constraints represented here (COST &WEIGHT).Write an equation for each constraint. This shouldcreate a system of linear equations.Let x = pounds of raisinsy = pounds of walnuts
Answers
Let x = pounds of raisins
Let y = pounds of walnuts
The first linear equation for the system is representing COST
[tex]\text{ \$4x + \$8y = \$24}[/tex]The second linear equation for the system is representing WEIGHT
[tex]x\text{ + y = 5}[/tex]Hence the two-equation for each constraint are
[tex]\begin{gathered} \text{\$4x + \$8y = \$24} \\ x\text{ + y = 5} \\ \end{gathered}[/tex]Your distance from lightning varies directly with
the time it takes you to hear thunder. If you
hear thunder 10 seconds after you see lightning,
you are about 2 miles from the lightning.
Estimate how many seconds it would take for
the thunder to travel a distance of 5 miles.?
Answers
The time taken by thunder to travel a distance of 5 miles is 25 seconds.
Which is the direct variation?A direct variation, as well known as a direct proportion, is a relationship that exists between two variables.Your distance from lightning differs directly with duration it takes you to hear thunder. If you hear thunder 10 seconds upon seeing lightning, you are approximately 2 miles away.Let d denote the distance and t the time.
Distance varies linearly with time, implying that distance is proportional to time.
Distance ∝ Time
d ∝ t
When the proportionality symbol is removed;
d = kt or k = d/t
Where k is the constant of proportionality.
In the equation, d = 2 and t = 10 are substituted.
k = 2/10 = 1/5
Therefore,
The following is a direct variation formula for the correlation between time and distance: d = (1/5)t
Now, for the distance of 5 miles, the time taken by the thunder is-
5 = (1/5)t
t = 5 × 5
t = 25 seconds.
Thus, the time taken by thunder to travel a distance of 5 miles is 25 seconds.
To know more about the direct variation, here
https://brainly.com/question/6499629
#SPJ13
Plsss help asap plssss
Answers
Answer:
D)
Step-by-step explanation:
Alternate interior angles: Alternate interior angles are formed inside the two parallel lines, when intersected by transversal and are equal to its alternate pairs.
AB // CD, BC is transversal
∠2 = ∠4 {Alternate interior angles}
∠2 = 35
After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share?
Answers
Answer:
$540 is the original price of the share.
Step-by-step explanation:
Original price = final price ÷ (1 - percentage (in decimal form))
Original price = $324 ÷ (1 - 0.40)
Original price = $324 ÷ 0.6
Original price = $540
i need help show your work
Answers
Answer:
C 11
Step-by-step explanation:
1.work out the value of x from the given equation
[tex]5x = 10 - 6[/tex]
[tex]5x = 4[/tex]
[tex]x = \frac{4}{5} [/tex]
2. use this x value and substitute it into the other equation to determine your answer
[tex]10( \frac{4}{5} ) + 3[/tex]
[tex]answer = 11[/tex]
a printer cartridge with 3 2/3 millilters of ink will print off 2/4 of a box of paper. How many millilters of ink will it take to print an entire box
Answers
3 2/3 mL / 1/2 box of paper = x mL / 1 box paper
Solve for x.
x = 7 1/3 milliliters of ink
write a recursive formula:
7, 10, 13, 16
write an explicit formula:
-8, -13, -18, -23
Answers
The recursive formula of the sequence 7, 10, 13, 16 is [tex]a_n = a_{n-1} + 3[/tex].
The explicit formula of the sequence -8, -13, -18, -23 is a(n) = -8 + (n-1)(-5).
What is recursive formula?
A recursive formula is one that defines each term in a sequence by reference to the one before it (s). The following parameters are defined using the recursive formulas:
The opening phrase of the seriesThe formula to calculate any phrase from its previous termIn order to find the recursive formula we first need to calculate the difference between each term. So,
Second term - First term = 10 - 7 = 3
Therefore the recursive formula is [tex]a_n = a_{n-1} + 3[/tex]
In order to find the explicit formula we first need to calculate the difference between each term. So,
Second term - First term = -13 - (-8) = -5
Therefore the explicit formula is a(n) = -8 + (n-1)(-5).
To know more about recursive formula, go to link
https://brainly.com/question/1275192
#SPJ13
what is the domain of f?
Answers
Answer:
x ∈ {-8, 0, 2, 4, 7}Step-by-step explanation:
The domain is the set of x-coordinates.
The domain of the function f(x) is:
x ∈ {-8, 0, 2, 4, 7}Multiply.
Enter your answer by
filling in the boxes.
7× ³/4=
Answers
Answer:
The answer is 5.25
Trust me it is right,
7 x 3/4= 5.25
Step-by-step explanation:
Good Luck!
Write an equation in standard form for the line that passes through the given points
(7,0) and (0, -4)
Answers
Answer:
y = 0.57143x - 4
Step-by-step explanation:
professor jones is interested in the effects of eating chocolate on test performance. he randomly assigns students to either an experimental group or a control group. he gives chocolate to the students in the experimental group and nothing to the students in the control group prior to passing out the exam. after scoring all the tests, he found that the students in the experimental group scored on average ten points higher than the students in the control group. in this experiment what is the independent variable?
Answers
In the given experiment x is the independent variable.
Given that, professor Jones found that the students in the experimental group scored on average 10 points higher than the students in the control group.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the average score of control group be x and the average score of experimental group be y.
Now, y=x+10
Therefore, in the given experiment x is the independent variable.
To learn more about an equation visit:
brainly.com/question/14686792.
#SPJ1
If a $500 deposit earns 4.25% interest compounded monthly, how much will be in the account at the end of 3 years? round your answer to the nearest cent.
Answers
Based on the amount invested, and the interest, the amount after 3 years would be $567.86
The interest is compounded monthly so you must convert it to a monthly rate:
= 4.25% / 12 months
= 4.25/12%
Number of periods:
= 3 years x 12 months
= 36 months
The future value of this amount is:
= Amount x ( 1 + rate) ^ number of periods
= 500 x ( 1 + 4.25/12%)³⁶
= $567.86
In conclusion, the amount would be $567.86
learn more about on future value here
https://brainly.com/question/26001836
#SPJ4
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
The solution of the equation ( x - 7 ) × 2 = 36 is x = 25
The equation is
( x - 7 ) × 2 = 36
To solve this equation we have to rearrange the terms and do the arithmetic operations
The arithmetic operation is a branch of mathematics. The basic arithmetic operations are addition, subtraction, division and multiplication.
Move the 2 to the right hand side of the equation
x - 7 = 36 / 2
Divide the term
x - 7 = 18
Move the 7 to the right hand side of the equation
x = 18 + 7
Add the term
x = 25
Hence, the solution of the equation ( x - 7 ) × 2 = 36 is x = 25
Learn more about arithmetic operation here
brainly.com/question/13585407
#SPJ1
2(8-2x)+2(4-2x)=18 what is x?
Answers
Answer:
x=3/4
Step-by-step explanation:
Answer: x = 3/4
Step-by-step explanation:
2(8 - 2x) + 2(4 - 2x) = 18
2(-2 x 8) + 2(4 - 2x) = 18
-4x + 16 + 2(4 - 2x) = 18
-4x + 16 + 2(2x + 4) = 18
-4x + 16 - 4x + 8 = 18
-4x + 24 - 4x = 18
-8x + 24 = 18
-8x + 24 - 24 = 18 - 24
-8x = -6
-8x/-8 = -6/-8
x = 3/4
Find the Area of the irregular polygon
Answers
Answer: 242 square ft
Step-by-step explanation:
Divide the polygon into 2 pieces so you have 2 rectangles. Then find the area of both rectangles.
Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?
Answers
27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.
As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,
The total height = distance between pool surface to platform + the depth of the pool
∵ The total height = 15 ft. + 12 ft.= 27 ft.
To know more about height and distance visit,
https://brainly.com/question/15939509?referrer=searchResults
#SPJ9
Yüz milyon bir nasıl yazılıyor
Answers
Answer:
100,000,001
I hope this helps, have a great day/night!
How can you use a number line to represent the subtraction between two integers?
Answers
Answer:
down below
Step-by-step explanation:
You can use a number line to show the subtraction between two integers by plotting the first night number and then move backwards, (left) however many spaces you are subtracting by. It is a visual representation of subtraction.
Hope this helps! :)
Darlene has 634 gallons of gasoline. Every time she mows her lawn, she uses 38 gallon. How many times can she mow her lawn before she needs more gas?
Answers
Answer: 16 times
Step-by-step explanation:
So in this situation, an equation helps!
634 = 38x
Where 634 is the number of gallons of gas she has; 38x is how much she needs to mow her lawn each time.
Now simply divide!
If we round we get x= 16.68 however this is not the correct answer because you can't mow 68/100 of a lawn! So even though 0.68 is greater than 0.5, we would round down to 16.
What is transitive property/
Answers
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for it.13 cm16 cmThe volume is aboutcm3
Answers
we know that
the volume of the cone is equal to
[tex]V=\frac{1}{3}\cdot\pi^{}\cdot r^2\cdot h[/tex]we have
pi=3.14
r=13 cm
h=16 cm
substitute
[tex]\begin{gathered} v=\frac{1}{3}\cdot3.14\cdot(13^2)\cdot16 \\ v=2,830.2\text{ cm\textasciicircum{}3} \end{gathered}[/tex]Volume is about 2,830.2 cubic centimeters