Answer:
m∠1 = 25° (opposite angles are congruent)
m∠2 = 87° ⇒ 180 - (25 + 68)
m∠3 = 68° ⇒ 180 - (87 + 25)
Hope this helps!
Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.
Answer:
1) n=±2[tex]\sqrt{5}[/tex]
2) a=±3[tex]\sqrt{10}[/tex]
Step-by-step explanation:
1) [tex]n^{2}[/tex] =20
✰Take the square root of both sides n=±[tex]\sqrt{20\\}[/tex]
✰ Simplify [tex]\sqrt{20\\}[/tex] to 2[tex]\sqrt{5}[/tex]
→ n=±2[tex]\sqrt{5}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
2) [tex]a^{2}[/tex] =90
✰ (Same as above) Take the square root of both sides a=±[tex]\sqrt{90\\}[/tex]
✰ Simplify [tex]\sqrt{90}[/tex] to 3[tex]\sqrt{10}[/tex]
→ a=±3[tex]\sqrt{10}[/tex]
Ans the question............
very urgent
Answer:
It's false.
Step-by-step explanation:
By breaking the middle term.
Put the root into equation, if it equals 0, then it's a root.
2x^2+3x-1=0
2(1/2)^2+3(1/2)-1=0
2(1/4)+3/2-1=0
2/4+3/2-1=0
1/2+3/2-1=0
(1+3-1*2)/2
4-2/2 = 1
1 is not equal to 0.
Law of sines: Which measures are accurate regarding triangle JKL? Check all that apply. M∠K = 84° m∠K = 94° k ≈ 3. 7 units k ≈ 4. 6 units KL ≈ 2. 5 units KL ≈ 3. 2 units
The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.
Who defines median?The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.
the class interval that have median.
total is frequency is as -
∑f = 30
median class of corresponds to half of the value
∑th is the value
i.e. 15th value.
least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.
[tex]2+8+9=19[/tex]
So, corresponds to the class interval = [tex]20 < h\leq 30.[/tex]
Hence, median class is [tex]20 < h\leq 30.[/tex]
Since this is a grouped data we use the midpoint
The median:-
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Find the value of x.
8 20 36
Answer:
4.4
Step-by-step explanation:
do a ratio, so 8:36 = x:20
36/8=4.5
4.5x=20
x=4.4
If $n$ is a positive integer such that $2n$ has 28 positive divisors and $3n$ has 30 positive divisors, then how many positive divisors does $6n$ have
As per the given equation the total number of positive divisors that $6$ has is 38.
What is the positive divisor?The divisors (or factors) of a positive integer are the integers that evenly divide it.
The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.
If N= paqbrc
Then total number of divisors = (a+1)(b+1)(c+1).
If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.
The divisors (or factors) of a positive integer are the integers that evenly divide it
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A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?
answer:
900 calories
step-by-step explanation:
there are 60 calories in 12 crackers or 5 calories per crackers
60/12 = 5
there are 75 calories in 15 crackers or 5 calories per crackers
75/15 = 5
if there are 180 crackers
180 • 5
900 calories total
At Florida A&M University, the ratio of students from Florida to students not from Florida is about `3\ :\ 1`.
How many of its `12000` students are from Florida?
Based on the information given, the number of students from Florida will be; 9000 students.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1
The Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
Hence, the number of students from Florida is 9000.
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What is the measure of W the parallelogram shown?
32°
O A. 155°
O B. 32°
O C. 58°
O D. 148°
Answer:
148 degrees
Step-by-step explanation:
For a parallelogram, angles on the same side sum up to be 180
what this simply means is that they are supplementary
Mathematically, we have it that;
X + W = 180
W = 180 - X
W = 180 -32
W = 148 degree
Multiply: -z^3(5 + z - 4z^2)
What is the circumference of the circle? Use 7 for s. 35 cm 2 O 44 cm 55 cm 100 cm O 110 cm Mark this and return Save and Exit INT
Answer:
55
Step-by-step explanation:
Right triangle $ABC$ has one leg of length 6 cm, one leg of length 8 cm and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm
One side of the square has a length of 10 cm.
The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:
c^2 = a^2 + b^2
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √(36 + 64)
c = √(100)
c = 10
So the hypotenuse of triangle $ABC$ has a length of 10 cm.
The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.
Therefore, one side of the square has a length of 10 cm.
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A fare meter in a taxi calculates the fare by starting at $2.40 when the trip starts, then adding $0.32 for every eighth of a mile traveled. If x represents the length of the trip in miles, what function models the total cost of the trip?
Answer:
i think its 7.5
Step-by-step explanation:
A magazine cover measures 28 cm by
22 cm. The title uses one-quarter of the area of
the cover. How much area is needed for the
title?
can someone help me with this :/
solve using the quadratic formula: x=(-b +/-sqr(b^2 - 4ac)/(2a)
2x² + x - 1 = 0
answers in (pic)
Answer:
2x² + x - 1 = 0
a= 2 b= 1 c= -1
x = [ -b +- sqr rt( b^2 -4ac) ] / 2*a
x = -1 +- sqr rt (1 - 4 *2*-1) / 4
x1 = [ -1 + (sqr rt (1 +8)) / 4
x1 = ( -1 + sqr rt (9)) / 4
x1 = (-1 + 3) / 4
x1 = .5
x2 = (-1 -3) / 4
x2 = -4 / 4
x2 = -1
And to check that answer: http://www.1728.org/quadratc.htm
Step-by-step explanation:
Mo played 30 games of chess. He won 18 of these games. (b) He played 20 more games. He had then won 64% of all of his games. How many of the 20 games did he win?
Answer:
14
Step-by-step explanation:
First of all he played a total of 50 games which he won 32 of due to 64% of 50 being 32 then you subtract the 18 games he won at the start to get 32-18=14
would be amazing if you marked this as brainliest
Answer:
Total no of games played =50
percentage of the win game=64%
total no of won games =64/100×50
=32
no of games he won of the 20 =32-18
=14
so he won 14 games from 20
hope it helps
Find the exact area of a circle with diameter of 10 units.
10
100
5
25
Here ^^
--------------
A≈78.54
to be exact it would be 25
--------------
bye have a good morning/afternoon/evening!! <3
- berry
Step-by-step explanation:
the area of a circle with the diameter of 10 is 78.5
Write the name of the polynomial that is obtained when two polynomials are divided and leaves no remainder.
Answer:
smlnsılasınız
Step-by-step explanation:
ben biyoml sou rmifn ilpuanlazı m baan
a
A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is 1.1 inches in diameter. If the barrel turns 47 times in being rolled up the ramp, how long is the ramp?
The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.
In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.
Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,
47 × 3.46 inches = 161.62 inches
Therefore, the length of the ramp is 161.62 inches.
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Please help me and actually give me the answer please
Answer:
Coin flip: 29 times
Blue spinner: 15 times
Standard cube: 18 times
Step-by-step explanation:
50% chance of head/tails, 58 x 0.5 = 29 times it will probably land on heads
60 spins/4 colors = 15 times likely each color
1,3,5 are odd, out of 6 numbers on a cube, so 50% chance, 36 x 0.5 = 18 times
The measures of the angles of a triangle are shown in the figure below. Solve for x.
True or False:
You can choose your own x-values.
True
False
The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
There are 30 markers in a bag. There is at least 1 red marker among any 12 randomly selected markers, and there is at least 1 black marker among every 20 randomly selected markers. How many red markers are in the the bag?
Answer:
at least 2 red markers are in the bag
Step-by-step explanation:
1/12=.0833333333
"" times 20 = 1.66666666
brainliest?
Answer:
the estimate is atleast 2 markers are in the bag
Step-by-step explanation:
need help quickly
The polygons are similar. x = ___ Write your answer as a decimal
Answer:0.23
Step-by-step explanation:
How do i find the solution(s) ?
Answer:
-8 , (0, -8)
Step-by-step explanation:
Y-interceptsThe y-intercept of a line is where a line intersects the y-axis, or the vertical axis.
SolutionReferring to the picture given, the y-intercept is -8 with the coordinates (0, -8)
Answer:
The vertex is (1,-9)
The y intercept is (0, -8)
Step-by-step explanation:
This is a parabola. The vertex is the low point since the parabola is opening upwards.
The vertex is (1,-9)
The y intercept is where it crosses the y axis. The y intercept is (0, -8)
6. Check whether the following numbers are perfect square or not, by expressing each as the sum of
odd numbers
a. 91
b. 196
Plz help me
1 3/8 - 1/12 as a fraction
Answer:
31/24 or 1 7/24
Step-by-step explanation:
1 3/8 in an improper fraction is 11/8:
1 times the denominator (8)= 8, add the numerator (3), and get 11
then keep the original denominator
multiply 11/8 by 3 to get 33/24
multiply 1/12 by 2 to get 2/24
now you have the same denominator and can subtract
33/24-2/24= 31/24
Graph each equation.
12. y + 3 = 2(x - 1)
Given line in point-slope form:
y + 3 = 2(x - 1)Point-slope form is:
y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) is the point on the lineWe know that to graph a line it is enough two have two points.
One of the points is (x₁, y₁) = (1, - 3).
Find one more point, when x = 3:
y + 3 = 2(3 - 1)y + 3 = 4y = 1The point is (3, 1).
Plot and connect these two points to get the line.
Four expressions are show below. Which expressions would give the same answer? Select TWO that apply?* Expression A: -2.43 + 1.57 Expression B: -2.43 -1.57 Expression C:-2.43 + (-1.57) Expression D: -2.43 - (-1.57) A and B A and C A and D Band C Band D C and D
Answer:
A. 2.43 kg x 1000 g/1 kg
Step-by-step explanation:
i dont really know how to explain it
but yea its A
Answer:
Same as the other person, cant explain much, im a horrible explainer, even if i did explain it would be false
Step-by-step explanation:
Its A
Penelope wants to go on a kayak trip. She has a budget of $75. To rent a kayak, there is a fixed $35 fee and an hourly fee of $4. Write an inequality that would be used to solve for the maximum number of hours Penelope can rent the kayak on her budget.
A. 35x + 4 ≤ 75
B. 35x + 4 ≥ 75
C. 35 + 4x ≤ 75
D. 35 + 4x ≥ 75
The inequality that shows the maximum number of hours Penelope can rent is 35 + 4x ≤ 75
What is an equation?An equation shows how two or more numbers and variables are related to each other.
Let x represent the number of hours to rent
There is a fixed $35 fee and an hourly fee of $4. Hence:
Total cost = 4x + 35
Penelope has a budget of $75. hence:
35 + 4x ≤ 75
The inequality is 35 + 4x ≤ 75
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Trapezoid DEFG is dilated by scale factor of 2\3 to form trapezoid D'E'FG. Side E'F' measures 32. What is the measure of side EF?
Answer: 48
Step-by-step explanation:
Given
Trapezoid DEFG is dilated by a scale factor of [tex]\frac{2}{3}[/tex]
[tex]E'F'=32[/tex]
Suppose the length of EF is [tex]x[/tex]
Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'
[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]
[tex]\therefore EF=48[/tex]