we know that
Vertical angles are congruent angles opposite each other where two lines cross
so
in this problem
m∠A=m∠B
so
substitute the values
[tex]x=3x-60\\3x-x=60\\2x=60\\x=60/2\\x=30\°[/tex]
therefore
the answer is
The measure of angle A is [tex]30\°[/tex]
q+5/9=1/6
what is q?
The perimeter of a rectangle is 900 yards. what are the dimensions of the rectangle if the length is 70 yards more than the width?
The average gas mileage m in miles per gallon for a compact car is modeled by m(s) = -0.015(s - 47)^2 + 33, where s is the car's speed in miles per hour. The average gas mileage for an SUV is modeled by m(s) = -0.015(s - 47)^2 + 15. What kind of transformation describes this change, and what does this transformation mean?
Please help me with math question
MQ would be CQ-CM
21-17 = 4
MQ = 4
21-17 = 4
MQ = 4
Can someone please help me with #2 and 4 please thanks
A company manufactured a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?
Answer:
The acceptable range will be : 15.85 oz to 16.15 oz
Step-by-step explanation:
Let the weight of the box be = x
As given,
If the discrepancy in weight is more than 0.15 oz, the production is stopped.
And if the discrepancy in weight is less than 0.15 oz then the production will continue.
We can express this as : If [tex]|x-16| \leq 0.15[/tex] ; the production continues
[tex]|z| \leq a[/tex] or we can say
[tex]-a\leq z\leq a[/tex]
Now, z = x-16, and a=0.15, then the value becomes,
[tex]-0.15 \leq x-16 \leq 0.15[/tex]
Solving for x:
We get the final range as :
[tex]-0.15+16 \leq x-16+16 \leq 0.15+16[/tex]
[tex]15.85\leq x \leq 16.15[/tex]
Therefore, the answer is : [tex]15.85\leq x \leq 16.15[/tex]
It should be noted that the range that's acceptable will be 15.85 oz and 16.15 oz.
How to calculate the range.From the information, the discrepancy in weight is about 0.15 oz. The lowest weight will be:
= 16 - 0.15 = 15.85 oz
The highest weight will be:
= 16 + 0.15 = 16.15 oz.
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A rectangle is cut in half along the diagonal to form a triangle. if the area of the triangle is (2x + 10) cm^2, what is the area of the rectangle? Please provide steps and reason for your answer too!
Write the slope intercept equation of a line that passes through points (-3,4) and (2, -6)
1. Clara grew 2 1/8 inches from her ninth birthday to her tenth birthday. If she was 53 2/3 inches when she turned nine. How tall was she when she turned ten?
To pay for a swimming pass, Cameron earned $65 by mowing lawns. Cameron plans to go swimming for 10 weeks this summer. He can buy a pass for $60, pay the regular price of $1.25 each time, or buy a permit for $25 plus 50 cents each time he swims. Cameron estimates that he will go swimming 5 times per week. Which is the best deal?
Give an example of a cubic function
Final answer:
A cubic function example is f(x) = x^3, which shows a curve with odd function symmetry that decreases with negative x values and increases with positive ones.
Explanation:
An example of a cubic function would be the function f(x) = x3. This function represents a basic cubic equation where the variable x is raised to the third power, or cubed. The graph of this function is a curve that demonstrates symmetry about the origin, with the curve decreasing for negative values of x and increasing for positive values. As x is cubed, it indicates that the function has an odd function symmetry.
A meteorologist was accurate 90% of the time, reporting accurately on 45 days. how many days of weather did he report? 50
4/5 - 2/7 find difference
Which number is prime?
27
14
91
59
Which trinomial is a perfect square trinomial?
a2 – 8a + 64
a2 – 4a + 64
a2 – 4a + 16
a2 – 8a + 16
Final answer:
The number 59 is prime, and the trinomial a^2 - 4a + 4 is a perfect square trinomial.
Explanation:
Prime number: The number 59 is prime because it is only divisible by 1 and itself, while the other numbers have factors other than 1 and themselves.
Perfect square trinomial: The trinomial a2 - 4a + 4 is a perfect square trinomial because it can be factored to (a - 2)(a - 2), making it a square of a binomial.
Mathematically, what is the correct way to write a speed of 100 meters per second?
Walt is mixing friut punch for a party. He combies 1 gallon 2 quarts 3 pints of ornge juice , 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. What is the total liquid measure of the punch?
A. 6 gal. 2 qt. 1 pt.
B. 6 gal. 2 qt. 2 pt.
C. 5 gal. 3 qt. 1 pt.
D. 6 gal. 3 qt. 1 pt.
Joann works in a publicity office at the state university. she is paid $ 13.00 $13.00 an hour for the first 35 35 hours she works each week and $ 19.50 $19.50 an hour for every hour after that. if she makes $ 650.00 $650.00 one week, how many hours did she work?
An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll
A regular 18-sided polygon is rotated with the center of rotation at its center.
What is the smallest degree of rotation needed to map the polygon back on to itself?
Is it 180 degrees or 20 degrees? Or are both my answers wrong? :(
360 degrees / 18 sides = 20 degrees
the answer is 20 degrees
Find the mean of the integers -16,-27,21,-19,14,-3
The mean of the integers -16, -27, 21, -19, 14, -3 is found by adding together all the numbers to get -30, and then dividing by the total number of values, which in this case is 6. This results in a mean of -5.
Explanation:The solution to this problem falls under the branch of Mathematics known as Statistics, which is the study of collecting, analyzing, interpreting, presenting, and organizing data. The term mean is frequently used in statistics, and it refers to the average of a set of numbers. In this case, you are required to find the mean of the set of integers -16, -27, 21, -19, 14, -3.
To compute the mean, you need to follow a simple two-step process: Add together all the numbers in the set, and then divide the total by the number of items in the set. For the numbers given in your case (-16, -27, 21, -19, 14, -3), you add these together which gives you a total of -30. There are 6 numbers in the set, so the mean would be -30 divided by 6, which equals -5.
Therefore, the mean of the integers -16, -27, 21, -19, 14, -3 is -5.
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Which angles are corresponding angles?
a. ∠7 and ∠3
b. ∠8 and ∠3
c. ∠3 and ∠11
d. none of this
PLEASE HELP:::
Louise used this figure to model the expression 20/4.
round the number to the given place value
24.617 hundredths
A.24.61
B 24.62
C.24.65
D.24.67
A line passes through the point (4, –2) and has a slope of mc010-1.jpg.
What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6
The value of a if the point (–4, a) is also on the line is -6
What is the value of a if the point (–4, a) is also on the line?If a line passes through the point (4, –2) and has a slope of 1/2, its equation can be written in point-slope form as:
y - (-2) = 1/2(x - 4)
Simplifying the equation gives:
y + 2 = 1/2x - 2
To find the value of a, substitute x = -4 and y = a into the equation:
a + 2 = 1/2(-4) - 2
a + 2 = -4
a = -6
Hence, the value of a is -6
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Question
A line passes through the point (4, –2) and has a slope of 1/2 What is the value of a if the point (–4, a) is also on the line?
Point Z on a coordinate grid is at (-1,3). If the point is reflected across the line y=-x, what are the coordinates of its image?
Trina and Jessie went on a vacation. Trina went scuba diving with an elevation of -85.6. Jessie went hand gliding with an altitude of 87.9 meters . Which is above sea level
Y = 1/2x - 6
Is this a function?
Answer:
what about y=(x - 5 to the 2nd power is it linear
A club decides to sell t-shirts for $15 as a fundraiser. It cost $20 plus $9 per t-shirt to make the t-shirts. Write and solve an equation to find how many t-shirts the club needs to make and sell in order to profit at least $152?
A. 15x - (9x+20) greater than or equal to 150; x greater than or equal to 28.33
B. 15x-9x + 20 greater than or equal to 150; x greater than or equal to 20
C. (8x+20) -15x greater than or equal to 150; x greater than or equal to 20
D. 15x -9 (x+20) greater than or equal to 150;x greater than or equal to 20
Shen needs to memorize words on a vocabulary list for german class. he has memorized 12 of the words, which is two-thirds of the list. how many words are on the list?
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount?
Cindy's new annual premium including the discount would be given by: Option A: $504.24
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
The table given is:
Type of Insurance Coverage= {Coverage Limits} and {Annual Premiums}
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Therefore, Cindy's new annual premium including the discount would be given by: Option A: $504.24
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The complete question is ;
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.