Answer:
97 degress
Step-by-step explanation:
2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.
The measure of ∠3 is 97°.
What are supplementary angles?If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.
Given two lines intersect and form angles
∠1, ∠2, ∠3, ∠4
and ∠2 = 83°
here ∠2 and ∠3 form supplementary angles,
them ∠2 + ∠3 = 180°
83 + ∠3 = 180
∠3 = 180 - 83
∠3 = 97°
Hence measure of ∠3 is 97°.
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Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answer:
2 1/2 per piece
Step-by-step explanation:
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
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1. The sum of 5 and x is 20. What is x?
If the sum of 5 and x is 20, then the value of x will be 15.
It is given that the sum of 5 and x is 20.
Mathematically, it can be written as:
5 + x = 20
We have to find the value of x.
In order to find the value of x we need to separate the variable and constant.
For this, subtract 5 from both the sides:
5+x-5 = 20-5
5-5 +x = 20-5
Then, solve the operation of subtraction on both the sides of above equation.
0+x = 15 -------(A)
Since, when we add 0 to any quantity, the result will be this quantity itself.
So, 0+x = x -------(B)
From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.
Equation right sides of (A) and (B). We have:
x = 15
Hence, the value of x is 15.
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whats 105 to the power of 20 pls help its big question
Answer:
lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40
Step-by-step explanation:
Answer:
2.65329771×10 to the power of 40
Step-by-step explanation:
Use scientific notation to get the simplest answer
Select True or False.
The expression 3x – 4(2x – 5) is equivalent, to the expression 20 – 5x.
True
O false
Answer:
true
Step-by-step explanation:
[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]
Answer:
true
Step-by-step explanation:
3x -4(2x-5)
3x-8x+20
5x+20
Can someone help me with number 12 ASAP please
Answer:
[tex]x > 1[/tex]
x is greater than 1
The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber works a maximum of 8 hours per day.
For one day a work, what is the range of the function for this situation?
Plz help me 10 points
Answer:
I think the answer is 7.20.....
Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20
find the mean of the given data 8,7,5,9,6,13
The mean of the data is 8.
Mean :Given data are,
[tex]8,7,5,9,6,13[/tex]
Mean is computed as divide the sum of all data by total number of data.
Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]
Number of data[tex]=6[/tex]
[tex]Mean=\frac{48}{6}=8[/tex]
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Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?
Answer:
384
Step-by-step explanation:
No. of students in the club last year = 320
No. of students in the club this year increased by 20%
To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)
That is,
= 20% * 320
= 20/100 * 320
= 64
Finding the number of students in the club this year
320 + 64 = 384 students
NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase
x-6=8 what’s the answer please it’s 9th grade algebra
Answer:14
Step-by-step explanation:
X-6=8
+6. +6
X=14
GEOMETRY PLEASE HELP! THANK TOU SO MUCH :)
Answer:
11. X=76
Step-by-step explanation:
Find the solution of the system of equations.
–6 - 2y = -40
- 7x – 2y = -44
Answer:
Step-by-step explanation:
(x,y) = (48/7, -22)
f(x)=-x+7 in a table.
Answer:
x, f(x)-2,9-1,80,71,62,5Step-by-step explanation:
A fucntion is basically a machine that follows the instructions it's given and based on those instructions it gives you an answer. So in the function
f(x)=-x+7, our total output (answer) is going to be whatever our "x" is and adding that to 7.
So lets start with -2, plug in -2 for the x variable
f(x)=-(-2)+7, when we solve this we get f(x)=2+7 (negative*negative=positive)
so our final function would be f(x)=9
We can solve the other functions by plugging in the x variable in the same way:
f(x)=-(-1)+7 this simplifies to f(x)=1+7, so f(x) equals 8
f(x)=-(0)+7 this simplifies to f(x)=0+7, so f(x)=7
f(x)=-(1)+7 this simplifies to f(x)=-1+7, so f(x)=6
f(x)=-(2)+7 this simplifies to f(x)=-2+7, so f(x)=5
Pls help due tonight, I just found the assignment !
Will give brainly for the correct answer
Answer:
1) slope is -1/3
2) slope is 3 or 3/1
3)slope is -3/2
4)slope is3/2
5)slope is 5/3
6)slope is 7/3
Step-by-step explanation:
What is the value of x in the proportion below?
1/2 /4 = x/28
O 3 1/2
O 7 1/2
O 14
O 56
PLEASE HELP ITS URGENT
The value of x in the proportion below is option 1 3 1/2.
What is butterfly method?When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.
What is proportion?An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.
The given proportion is:
[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]
Using the method of cross-product or butterfly method:
[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]
The value of x is 3.5. Converting this value into mixed fraction:
3.5 = 3 1/2
Hence, the value of x in the proportion below is option 1 3 1/2.
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multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
i don't really understand this??....
Answer:
Part 1
its asking you to find the slope of the given lines by using the points that they have plotted on the lines
first you need to figure out what the points are, then insert it into the formula
the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]
Part 2:
its asking you to find the slope using the points that are written in each box
again, just substitute it into the formula
the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
STRAIHGT FROM PLATO BOOOOIIIIII
How can you translate a verbal sentence into an algebraic equation? Explain.
Sample answer: First you should identify the , 1 of 4.
Select Choice
quantity or quantities for which you are trying to solve, and assign , 2 of 4.
Select Choice
. Then you should look for key words or phrases that can help you to determine , 3 of 4.
Select Choice
that are being used. You can then write the , 4 of 4.
Select Choice
using the numbers that you are given and the variables and operations that you assigned.
The mathematical expressions are given as
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the verbal sentence, the meaning of using of indicates the multiplication of numbers.
The mathematical expressions will be used as:-
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
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Solve: 3(2x + 4) = 5x - 2
Answer:
= -14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+4)=5x−2
(3)(2x)+(3)(4)=5x+−2(Distribute)
6x+12=5x+−2
6x+12=5x−2
Step 2: Subtract 5x from both sides.
6x+12−5x=5x−2−5x
x+12=−2
Step 3: Subtract 12 from both sides.
x+12−12=−2−12
x=−14
HELP!!! What is the equation in point-slope form of the line that passes through point (2,-3) and has a slope of 4
Answer:
y = 4x - 11
Step-by-step explanation:
given slope m = 4
point (2, -3) for (x1, y1)
equation for point slope form
y - y1 = m(x- x1)
y - (-3) = 4 (x -2)
y + 3 = 4x - 8, simplify
y = 4x - 11
Find the value of x.
O x = 2
O x = 3
Ox=33
O x = 52
Answer:
x=3
Step-by-step explanation:
i just know
whole numbers are _____ Intergers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
A drop of water leaks from a faucet at a rate of 5-5 liters per second
Answer:
what's the question??zz
What is 3x+7x=9-18? Math is confusing once you get into 7th grade.
Answer:
x-(-0.9)
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0
Solve::10x+9 = 0
Subtract 9 from both sides of the equation::10x = -9
Divide both sides of the equation by 10::x = -9/10 = -0.900
Answer:
x = -0.9Step-by-step explanation:
3x+7x=9-18
10x = -9
x = -9 / 10
x = -0.9
Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
Email
The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
4+12+20=j
3+9+15=m
j(answer) + m(answer)
Step-by-step explanation:
pls help me out ill give brainlyist
Answer:
B) y=3x+4.5
Step-by-step explanation:
I'm just gonna recheck my answers, can anyone answer for me plz:)
Step-by-step explanation:
In this question maybe we have to make equation or formulas so
A to find yellow jelly beans = 2g
B to find red jelly beans = g - 5
C to find black jelly beans = g + 4
If a sheep eats 1/7 of a bale of hay a day, how many sheep can be fed from 1 bale of hay? *
Answer:
7 sheeps can be fed by 1 bale of hay
Step-by-step explanation:
7/7=1
Answer:
7 sheep
Step-by-step explanation:
1 ÷ 1/7 = 7