1. In triangle ABC, the measure of angle A is 40°.
a. Give possible measures for angles B and C if triangle ABC is isosceles.
Answer:
Angles B and C are 70 degrees.
Step-by-step explanation:
The sum of three angles of a triangle is 180 degrees.
Of these angle A in triangle ABC is given as 40 degrees.
Another input is that the triangle is isosceles. This means that AB=AC or in other words, angle B and angle C are equal.
Let the angle B or angle C be represented as x degrees.
Representing this in equation format:
A + B + C = 180
=> 40 + x + x = 180
=> 2x = 180 - 40 = 140
=> x = 140/2 = 70
So both the angles B and C are 70 degrees.
If triangle ABC is isosceles, then angles B and C both measure 70°.
We have,
In an isosceles triangle, two angles are congruent (they have the same measure). If angle A is 40°, and triangle ABC is isosceles, then angles B and C must each measure:
B = C = (180° - 40°) / 2
= 140° / 2
= 70°
So, if triangle ABC is isosceles, both angles B and C would measure 70°.
Thus,
If triangle ABC is isosceles, then angles B and C both measure 70°.
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−4 4/5 ÷ 4
A. -1 1/5
B. -4/5
C. 4/5
D. 1 1/5
Answer:
A. -1⅕
Step-by-step explanation:
[tex]-4\frac{4}{5}\div 4 = -4,8\div 4 = -1,2 = -1 \frac{1}{5} [/tex]
I am joyous to assist you anytime.
It takes 687 Earth days for the planet Mars to revolve around the sun once. How many Earth days does it take Mars to revolve around the sun four times
Answer:
2748 days
Step-by-step explanation:
687 days * 4 revolves = 2748
2748 earth days.
What are the steps of simplification?Expressions included in parentheses, brackets, braces, and fraction bars should be made simpler. Analyze each power. Divide and multiply all numbers from left to right. Make sure to add and subtract all numbers from left to right. last but not least, use any method. BODMAS or PEMDAS.
Given, It takes 687 Earth days for the planet Mars to revolve around the sun once.
Earth days does it take Mars to revolve around the sun four times = 4 *687
Therefore, 2748 Earth days take Mars to revolve around the sun four times.
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whats 67/8 simplified
Answer:
8 3/8
Step-by-step explanation:
Answer:
8.375 or 8 3/8
The supermarket is advertising double coupons up to $1.25 this Friday only. Which coupon can be doubled?
$1.30 off shaving cream
$1.20 off dog food
$2.25 off body wash
$1.50 off markers
Answer:
1.20 off dog food
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. The coupon that can be doubled is $1.25. The correct option is B.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that the supermarket is advertising double coupons up to $1.25. Therefore, every coupon that has a value less than or equal to $1.25 will be doubled. Therefore, we can write the inequalities as,
x ≤ $1.25
Now, if we look at the given options then the only option that is less than $1.25 is the coupon for dog food.
1.20 < 1.25
Hence, the coupon that can be doubled is $1.25.
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You are competing in a race. The table shows the times from last year's race you want your time to be last year's median time with an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time in minutes) you hope to achieve
Answer:
[tex]27\leq x \leq37[/tex]
Step-by-step explanation:
Let's arrange the numbers from least to greatest:
20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48
The median is the "middle" number when arranged from least to greatest.
There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.
6th term = 32
7th term = 32
Average = (32+32)/2 = 32
Hence, median = 32
Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.
So, 32 - 5 = 27 & 32 + 5 = 37
Hence [tex]27\leq x \leq37[/tex]
To find the inequality range for race times, we must first arrange the times and find the median, which is 32 minutes. The desired race time with an absolute deviation of at most 5 minutes from the median results in the inequality 27 ≤ x ≤ 37.
Explanation:
To solve this problem, we need to arrange the given race times in order and find the median. Once we find the median, we can set up an inequality that represents a race time within 5 minutes more or less than this median time.
First, we arrange the race times in ascending order: 20, 31, 27, 32, 25, 42, 48, 28, 40, 38, 32. After putting them in the proper order (20, 25, 27, 28, 31, 32, 32, 38, 40, 42, 48), we find that the median, which is the middle value, is 32 minutes since there are 11 times, and the 6th time is the median.
Next, we want to have a race time with an absolute deviation of at most 5 minutes from the median (32 minutes). This gives us the inequality 27 ≤ x ≤ 37. So, the time you hope to achieve in the race is between 27 and 37 minutes.
Ten less than a number is three more than six times the number
Answer:
x-10=6x+3
Step-by-step explanation:
Okay, Is means equals. I used x as the unknown number. 10 less than a number means x-10. Squishing a variable and constant ( x and 6) together means multiplication (Constant always going before the variable) It's three more than six times the number, so it's six times the number plus three.
Hope I helped :)
two angels are complementary one angle measures 3more than twice the other.
Answer:
29° and 61°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x then the other angles = 2x + 3
Sum the angles and equate to 90
x + 2x + 3 = 90, that is
3x + 3 = 90 ( subtract 3 from both sides )
3x = 87 ( divide both sides by 3 )
x = 29
and 2x + 3 = (2 × 29) + 3 = 58 + 3 = 61
The two angles are 29° and 61°
I don't understand how to find slope, can someone help me with the problems circled in blue? Thanks!
(show your work please)
the equation to find any slope given two points is (y1-y2)/(x1-x2)
given this equation, the slope of problem 24 would be (6-3)/(-1-4) or (3-6)/(4+1) which is equal to -3/5,
depending on which point you call (x1,y1) and (x2,y2)
calling either of the points 1 or 2 will still result in the same slope
classification for square root 2
Answer: It is irrational because it cannot be written as a ratio of two integers. It is not a perfect square
Step-by-step explanation:
Is -2.75 greater than or less than -2.5
Answer:
Less because they are negative
Step-by-step explanation:
The number-2.75 is less than the number -2.5.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given numbers are -2.75 and -2.5.
The number -2.75 is less than the number -2.5. For the negative integers the number with a higher magnitude but having a negative sign is lesser than the number with a small magnitude with a negative sign.
Therefore, the number-2.75 is less than the number -2.5.
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Suppose you are driving to visit a friend in another state you are driving at an average rate of 50 mph you must drive a total of 480 miles if you have already driven 130 miles how long would it take you to reach your destination?
Answer:
300 more miles
Step-by-step explanation:
because its easy NO OFFENSE SERIOULSY
Write the equation of the line in slope-intercept form.
m = 2/9, y-intercept (0,5)
The equation of the line in slope-intercept form is
Step-by-step explanation:
Given :- y intercept = ( 0 , 5 ) i.e, the line cuts y axis at 5
and , slope of the line ( m ) = 2/9
• Slope intercept form of the equation is
y = mx + c
Where , m is slope of the line
and c is y intercept !!
[tex]y = \frac{2}{9} x + 5 \\ \\ because \: c \: = 5[/tex]
The ______ is the amount of space an object contains measured in cubic units
is 136 a perfect square
Answer:
No, because there is no whole number that when multipled by itself gives 136Step-by-step explanation:
11² = 11 · 11 = 121 < 136
12² = 12 · 12 = 144 > 136
The length of a rectangle is 4.5 meters. The perimeter is 15.6 meters. What is the width?
Answer:
The width is 3.3 meters
Step-by-step explanation:
The perimeter of a rectangle is 2L + 2W. L is 4.5.
P = 2L + 2W
15.6 = 4.5 * 2 + 2W
15.6 = 9 + 2W
6.6 = 2W
3.3 = W
A vector has an x-component equal to 0.15 and a y-component is equal to 1.22 calculate the vectors direction relative to the positive x-axis
Answer:
The vector direction is 83.0° relative to the positive x-axis
Step-by-step explanation:
* Lets explain how to find the direction of a vector
- A vector is a quantity which has both magnitude and direction
- The vector has two components x-component and y-component
- The x-component = v cos Ф , and the y-component = v sin Ф,
where Ф is the angle between the vector and the positive part
of the x-axis
- The magnitude of the vector = [tex]\sqrt{x^{2}+y^{2}}[/tex]
- The direction of the vector = [tex]tan^{-1}(\frac{y}{x})[/tex]
* Lets solve the problem
∵ x-component of the vector = 0.15
∵ y-component of the vector = 1.22
- Both x-component and y-component are positive
∴ Ф will be between 0° and 90°
∵ The direction of the vector = [tex]tan^{-1}(\frac{y}{x})[/tex]
∴ The direction of the vector = [tex]tan^{-1}(\frac{1.22}{0.15})[/tex]
∴ The direction of the vector = 83.0°
* The vector direction is 83.0° relative to the positive x-axis
What percent of 120 is 42? A. 35% B. 28.6% C. 4.2% D. 33%
i need a step by step explanation
Answer:
A. 35%
Step-by-step explanation:
You can write 42 of 120 as a fraction ---> 42/120
If you simplify you get 7/20.
7/20 can also be written as 35/100, so the percentage would be 35%.
Answer:
A. 35% BRAINLIEST WOULD BE APPRECIATED!
Step-by-step explanation:
Do guess and check. Start with A.
120*0.35=42 ~ that works! check the others to be sure.
120*0.286=34.272 ~ nope!
120*0.042=don't even need to do it, unreasonable.
120*.33=39.6 ~ nope!
Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y. Triangle G E F has angles with different measures. Point A is at the center. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Z, and A Y. Which must be true? Please Hurry I don't have a lot of time to finsh my test!
Answer:
C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Step-by-step explanation:
The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.
The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.
Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Answer:
c
Step-by-step explanation:
Pedro planted 15 plants in his garden is 45 minutes. How long did it take him to plant 5 plants?
equation?
25-5x=5(-x + 5)
Select all that apply.
A: there is no solution
B: x= all real numbers
C: x=0
D: x=5
Area of composite figure
Answer:
4x4x8x2
256
Step-by-step explanation:
A carpenter finds that if she charges p dollars for a chair, she sells 600 – 3p of them each year.
How much should she charge to maximize her annual revenue?
Answer:
p=$100
Step-by-step explanation:
Let
y -----> annual revenue
p ----> the charge in dollars for a chair
we know that
The revenue is equal to the number of chairs multiplied by the charge for one chair
so
[tex]y=(600-3p)p[/tex]
[tex]y=600p-3p^2[/tex]
This is the equation of a vertical parabola open downward.
The vertex is a maximum
using a graphing tool
The vertex is the point (100,30,000)
That means
The maximum revenue is y=$30,000
when the carpenter charge $100 for a chair
The revenue is maximum when a fee of $100 is charged per chair.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Revenue is the product of the price per item and the total number of items.
Hence:
Revenue (R) = Price * number of item
R = p * 600 - 3o
R = 600p - 3p²
Maximum revenue is at R' = 0:
R' = 600 - 6p
6p = 600
p = 100
The revenue is maximum when a fee of $100 is charged per chair.
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Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it ?
Answer:
B
In a function, f(x), there are two parts:
x: the input value
f: the output value
Dan gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are smarties?
Give your answer in its simplest form.
Answer:
1/6
Step-by-step explanation:
Let
c-----> the number of cola bottles that Dan picks
s ----> the number of smarties that Dan picks
m ---> the number of marshmallows that Dan picks
we know that
c=3s ----> equation A
m=2s ---> equation B
we know that
To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets
The total of sweets is equal to
(c+s+m)
substitute equation A and equation B in the total of sweets
(3s+s+2s) =6s
Find the proportion
s/6s
Simplify
1/6
The proportion of smarties in Dan's bag of sweets, in its simplest form, is 1/6.
Explanation:To solve the question about what proportion of the bag of sweets are smarties, let's assume Dan picks x number of smarties. Following the information provided, he picks 3 times as many cola bottles as smarties, which is 3x, and twice as many marshmallows as smarties, which is 2x. The total number of sweets in the bag is the sum of smarties, cola bottles, and marshmallows, which amounts to x + 3x + 2x = 6x. The proportion of smarties in the bag is the number of smarties divided by the total number of sweets, so we get:
Proportion of smarties = Number of smarties / Total number of sweets = x / 6x = 1/6.
The proportion of smarties in the simplest form is 1/6.
WILL MARK BRAINLIEST!!!
The graph of the function f(x) is shown below.
What is x when f(x)=0?
A. -1.8
B. -1.2
C. 0
D. 5
Answer:
D5 is the answer im pretty sure
Step-by-step explanation:
Answer:
The answer is D (5)
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
Marta gasto $60 en la compra de cuadernos iguales si cada cuaderno hubiera costado $2 más Marta hubiera adquirido 80 cuadernos menos por los mismos $60 ¿Cuántos cuadernos compró Marta?
Answer:
[tex]103\ notebooks[/tex]
Step-by-step explanation:
The question in English is
Martha spent $60 to buy the same notebooks if each notebook had cost $2 plus Martha would have bought 80 fewer notebooks for the same $60. How many notebooks did Martha buy?
Let
x -----> the cost of each notebook
n -----> number of notebooks that Marta bought
we know that
[tex]nx=60[/tex] -----> [tex]n=\frac{60}{x}[/tex] -----> equation A
[tex](n-80)(x+2)=60\\\\nx+2n-80x-160=60\\\\n(x+2)-80x=220 ---> equation\ B[/tex]
substitute equation A in equation B and solve for x
[tex]\frac{60}{x}(x+2)-80x=220[/tex]
Multiply by x both sides to remove the fraction
[tex]60(x+2)-80x^2=220x[/tex]
[tex]60x+120-80x^2=220x[/tex]
[tex]-80x^2-160x+120=0[/tex]
Using a graphing tool
Solve the quadratic equation
The solution is
x=$0.581
see the attached figure
Find the value of n
[tex]n=\frac{60}{0.581}=103\ notebooks[/tex]
During November, sales are
at their peak. The store
manager must work 40
hours that week. How much
Will the manager earn?
Answer:it depends how much he is earning
6895 round to nearest thousand
Answer:
7000
Step-by-step explanation:
Mrs. Zhang’s bee farm has a population that is about 1 tenth as large as Mrs. Acquino’s bee farm. If Mrs. Zhang’s bee population is about 48,000, about how many bees does Mrs. Acquino have?
Help me please i will give u 20 points
Mrs. Zhang's is 1/10 the size of Mrs. Acquino's.
Since you know Mrs Zhang's, divide the amount she has by the fraction of hers.
48,000 / 1/10
When you divide by a fraction, reverse the fraction and multiply:
48,000 x 10/1 =
48000 x 10 = 480,000 bees.
To estimate Mrs. Aquino's bee population, multiply Mrs. Zhang's bee population, which is 48,000, by 10. Mrs. Acquino has approximately 480,000 bees on her farm.
Since Mrs. Zhang’s bee population is 48,000 and her farm is said to be 1 tenth as large as Mrs. Acquino’s, to find the population of Mrs. Aquino's bees, we need to multiply Mrs. Zhang’s bee population by 10. Performing the calculation:
48,000 × 10 = 480,000
So, Mrs. Aquino's bee farm has approximately 480,000 bees.