9514 1404 393
Answer:
D. ∠1 ≅ ∠3
Step-by-step explanation:
In order to show the lines parallel, you must show how one of the angles 1 or 4 relates to one of the angles 2 or 3. Possibilities include ...
∠1 +∠2 = ∠3 +∠4 = 180°
∠1 = ∠3
∠2 = ∠4
The second of the possibilities listed here matches choice D.
By the end of the first week a movie had grossed $2.3million. By the end of is six week, it had grossed $6.8million. Graph the data with the week on the vertical axis, and draw a line through the points.Then find and interpret the slope of the line.
Answer:
The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.
Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9
The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.
HELP fast please! i’ll mark you
Answer:
yes it is linear
Step-by-step explanation:
it doesnt have two of the x values arent the same
Select all ratios equivalent to 7:6.
The ratios equivalent to 7:6 can be expressed as a) 14 : 12
What does the idea of ratios mean?The concept that will be used here is ratio. The proportion is an equation that demonstrates how two ratios are equivalent, but the notion of ratio defines us to compare two quantities.
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
From the ratios equivalent to 7:6 which can be written as 7/6
Then we consider option A , 14/12 = 7/6 ( divide the denominator and numerator by factor of 2.
Option B; 2 : 18 = 2/18 = 1/9
option C : 28 : 26 = 16/ 13
option D : 30 : 25 = 6/5
Therefore, option A is correct.
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Missing options:
a) 14 : 12
b) 2 : 18
c) 28 : 26
d) 30 : 25
The sum of three consecutive integers is -561. What are the
integers?
I
Answer:
-188, -187, -186
Step-by-step explanation:
x + (x+1) +(x+2) will usually be the formula for questions like this. If there wer 4 consecutive numbers, you just add (x+3) and so on.
The three integers are:
x + (x+1) + (x+2) Simplify this :
3x+3 = -561 Get 3x by itself, subtract 3 on both sides:
-3 -3
3x = -564 Find x divide -564 and 3:
x = -188
-188 is the first number now you count up.
-188 is the first number, -187 is the second, -186 is the third.
Hope this helps : )
A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?
A. (45x12)+75=c
B. (75-45)x12=c
C.(75x12)+45=c
D.(45+75)x12=c
Decrease $260 in the ratio 3:5
ayudaaa a resolver esto plis
The value of x in degrees will be 6° and 11° using properties of parallel lines.
What Qualities Characterize Parallel Lines?They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.
Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.
The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.
In the above figure,
8x + 7 = 55
8x = 55 - 7
x = 6
Measure of the angle will be 8 × 6 + 7 = 49
In 11)
10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)
⇒x = 11
The value of x in degrees will be = 11° using properties of parallel lines.
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Need help with this was will off 30 points
The solution of the simultaneous equations is given by: x=0.60 and
y = 0.80 .
A system of equations or simultaneous equations, usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.
The elimination approach, which involves taking one of the unknowns out of each equation, is the most popular technique for solving simultaneous equations. The final step is to calculate the remaining unknown. If the coefficient of one of the letters is the same, regardless of sign, this is possible.The given pair of simultaneous equations are:
6 x + 8 y = 10
9 x + 6 y = 10.20
Now let us multiply the first equation by 6 and the second equation by 8 and subtract it from the first.
36 x + 48 y = 60
72 x + 48 y = 81.60
⇒ 36 x = 21.60
⇒ x = 21.60 ÷ 36
⇒ x = 0.60
Substituting the value in the first equation we get:
y= 0.80.
Hence the solution of the simultaneous equation is x=0.60 and
y = 0.80 .
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On a coordinate plane, circle has its center at the point (3, −6). The point (−1, −2) is on circle .
Which of these statements are correct? Choose ALL that are correct.
Responses
The line = − 1 is tangent to circle at P
The line = − 1 is tangent to circle at P
The area of the circle is 32 square units
The area of the circle is 32 square units
The radius of the circle is 4√2
The radius of the circle is 4√2
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The range of the circle is (−6 − 4√2) ≤ ≤ (−6 + 4√2) -
The point (4, −0.5) is on the circle.
The point (4, −0.5) is on the circle.
The equation of the circle is ( − 3)² + ( + 6)² = 32
We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct options.
Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.
Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.
This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct options.
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Plz help me I’m md lost rn!
Answer:
6.4 km
Step-by-step explanation:
4x1.6
Answer:
6.4 km
Step-by-step explanation:
1.6 * 4 = 6.4
The length of a rectangle is 5 feet and the width is 8 feet.what is the area of the rectangle
Answer:
40 ft squared
Step-by-step explanation:
To calculate area of a rectangle, you use the formula length times width, or base times height.
5 x 8 = 40 feet squared
A sports shop in Manchester is doing a sale on some merchandise. Liz hears about it
and goes to make a purchase of two pairs of running shoes. She gives the sales
attendant in the store three crisp £50 notes and is given change of £10.50. What is
the price of each pair of running shoes? Show your working
Answer:
£69.75
Step-by-step explanation:
Given
No. of pairs of shoes bought by Liz = 2
she gave attendant three crisp £50 notes
total money given by Liz = £50*3 = £150
Money she was returned = £10.50.
thus, the money kept with attendant is price of two pair of shoes
price of 2 pair of shoes = total money given by Liz - Money she was returned
price of 2 pair of shoes = £150 - £10.50 = £139.50
To find price of 1 pair of shoes we divide both LHS and RHS by 2
price of 2/2 pair of shoes = £139.50/2 = £69.75
price of 1 pair of shoes = £69.75 Answer
Solve the following differential equations:
The general solution to the differential equation based on the information is y(x) = (1/2) x^4 e^(-3x) + C e^(-3x)
How to explain the equationBased on the information, dy/dx + 3y = 2x³ e^(-3x)
The integrating factor is e^(∫3 dx) = e^(3x),
e^(3x) dy/dx + 3e^(3x) y = 2x^3 e^(3x - 3x)
d/dx (e^(3x) y) = 2x^3
e^(3x) y = ∫2x^3 dx = (1/2)x^4 + C
C is an arbitrary constant of integration.
y = (1/2) x^4 e^(-3x) + C e^(-3x)
The equation will be y(x) = (1/2) x^4 e^(-3x) + C e^(-3x)
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What happens to a consistent slope when the y value starts to decrease and the x value remains the same over time?
A. Y decreases and X decreases
B. Y decreases and X increases
C. Y increases and X increases
D. Y increases and X decreases
When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.
A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.
When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.
This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.
Therefore, the answer is option B: Y decreases and X increases.
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A decorative gift box is in the shape of a triangular prism as shown. What is the lateral surface area of the box? Draw a net if necessary.
The lateral surface area of the box is given as follows:
112.5 in².
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:
A = lw.
The lateral of the triangular box for this problem is composed by two rectangles, with dimensions given as follows:
5 inches and 10 inches.5 inches and 12.5 inches.Hence the lateral surface area of the box is obtained as follows:
5 x 10 + 5 x 12.5 = 112.5 in².
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Solve for x.
(you are working with degrees here!)
(2x+53) degrees
(5x+2) degrees
X=?
The equation is first degree linear equation. After solving the value x =17.
What is first degree equation?The equation having one or more variables with maximum power 1 called first degree equation. Linear equation is the example.
How to solve first degree equation?The first-degree linear equation is easy to solve as the maximum available power of the variables is 1.
So as to solve equation, we rearrange the like term, and the unknown value is determined.
Given, (2x+53) = (5x+2)
53-2 = 5x-2x
51= 3x
3x=51
x=51/3=17
hence, the solution is x=17
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What is m∠PTS? Enter your answer in the box. ° A horizontal line segment S R intersects with line segment P Q at their midpoint T. The upward-left and downward-right angles made by these lines are acute. The upward-left acute angle is labeled left square bracket 11 left parenthesis y minus 10 right parenthesis right square bracket degrees. The downward-right acute angle is labeled left parenthesis 4 y minus 5 right parenthesis degrees.
Answer:
m /_PTS = 55°
Step-by-step explanation:
Just took the quiz..
The measure of angle m∠PTS from the given figure is 55°.
From the given figure, the two angles are 11(y-10)° and (4y-5)°.
What is vertical angle theorem?Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
Now, 11(y-10)° = (4y-5)°
⇒ 11y-110 = 4y-5
⇒ 11y-4y = -5+110
⇒ 7y = 105
⇒ y = 15
So, m∠PTS = 11(15-10)
= 55°
Therefore, the measure of angle m∠PTS from the given figure is 55°.
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( 3/4 ÷ 3/100 −23 1/2 )÷1 1/2 · 2/3 +1 1/6
All of the (/) are fractions. Sorry if it's unclear.
Answer:
Simplify: = −7333 4400 (Decimal: -1.666591)
Answer: −7333/ 4400
Step-by-step explanation:
Steps below
1: 343100−2312112(2)3+116
2: 14100−2312112(2)3+116
3: 1400−2312112(2)3+116
4: −46199400112(2)3+116
Answers:
Simplify: = −7333 4400 (Decimal: -1.666591)
Answer: −7333/ 4400
Hope this helps.
Answer:
The answer is 11/6
If Bill was traveling v mi/h, how would you represent Daemon's speed in mi/h if he was traveling 45 mi/h faster?
The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities
Daemon's speed is (v + 45) mi/h
The reason the above value for Daemon's speed is correct is as follows:
The known parameters are;
The speed with which Bill was travelling = v mi/h
The speed with which Daemon was travelling = 45 mi/h faster than Bill
Method:
By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed
To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;
Solution:
Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h
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in last weeks volleyball game Ashley served 15 times and made 2 errors. What was her serving percentage? (what percent did she serve it in?
In Japan. traditionally it was believed that if you folded 1,000 origami cranes, your wish would come true. For a party, Emika is making origami cranes by folding square pieces of paper. The area of each piece of paper she uses is 35 in.^2.
What is the exact perimeter of the paper Emika uses? ______
Answer:
Step-by-step explanation:
Remark
Interesting detail.
Origami Paper is square -- perfectly.
So the properties listed will be related to a square.
Givens
Area = 35 in^2
Formulas
Area = s^2 where s is the length of 1 side.
Perimeter = 4s
Solution
Area = s^2 = 35
s^2 = 35 Take the square root of both sides.
√s^2 = √35
s = 5.91
Perimeter = 4s
s = 5.91
Perimeter = 4*5.91
Perimeter = 23.66
The way the question is worded, the answer you should submit is
Perimeter = 4 * √35
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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3. Which sentence is written active voice-not passive voice?
The cheeseburgers were purchased by Micky.
Pizza was suggested instead of cheeseburgers.
O Mickey ate a cheeseburger at lunch instead of pizza.
At lunch, the cheeseburger was eaten by Micky.
Answer:
the cheeseburgers were purchased by micky
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
A virus takes 11 days to grow from 60 to 200. How
many days will it take to grow from 60 to 590? Round to
the nearest whole number.
Answer:
since t takes 11 days for 200 the answer should be from 60 to 590
Step-by-step explanation:
it will take 53 days for 590
* What is the measure of angle x°?
The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answer:
zeros
roots
Step-by-step explanation:
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
Help me please!!!
Whoever answers right gets brainliest!
The equation that best describes the relation is y = -x+1 ( optionD)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Taking x(0,1) and y ( 1,0)
therefore the slope of the line
= 0-1/1-0
= -1/1 = -1
the equation a line is given as
y-y1 = m(x-x1)
= y-1 = -1( x - 0)
= y-1 = -x
y = -x +1
therefore the equation that describe relation is y = 1-x or y = -x+1
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Convert these mixed numbers into improper fractions. 2 5/6
Answer:Multiply the denominator by the number in front of it and then add it to the numerator. (6•2=12+5=17). The denominator stays the same. Your answer is 17/6. Hope this helped! plzz atleast hit the like button ?
Answer:
17/6
Step-by-step explanation:
To find this, simply multiply the denominator (6) with the whole number (2) and then add it to the numerator (5) this gives you 5 + 12 which equals 17.
Therefore the solution is 17/6