Answer:
[tex]x=29[/tex]
Step-by-step explanation:
The two pair of angles that are given values are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:
[tex]2x-10+4x+16=180,\\6x+6=180,\\6x=174,\\x=\fbox{$29$}[/tex].
Answer:
[tex]\huge{ x=29° }[/tex]
Step-by-step explanation:
Here,
The two lines are parallel.
So,The angle (2x-10) and (4x+16) are corresponding. because these angles are the consecutive interior angles.
we know that,
Sum of corresponding angle =180°
According to the question,
[tex]\bold{(2x-10)+(4x+16)=180 }[/tex]
[tex]\bold{2x-10+4x+16=180 }[/tex]
[tex]\bold{ 6x+6=180 }[/tex]
[tex]\bold{6x=180-6 }[/tex]
[tex]\bold{ 6x=174 }[/tex]
[tex]\bold{ x=\dfrac{174}{6} }[/tex]
[tex]\bold{ x=29 }[/tex]
so,
value of x=29°
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
Pls help i need this question by 8:00am tomorrow
What is the slope of the line with equation y=5x+7 ?
Answer:
the slope is 5
explanation:
goes up 5 and right 1
HELP PLEASE I WILL MARK BRAINLIEST
Question 3
1
Marcus wants to move triangle PQR in such a way that vertex P moved from the point (-2,5)
to P' (3, -3). Which of the following algebraic representations matches this translation?
A. (x,y) → +5,y + 8)
B. (x,y) → (x - 5,y - 8)
C. (x,y) → (x - 5, y + 8)
D. (x,y) → (x +5,y - 8)
Jen has 1 chocolate bar she is sharing with her friend, Joe. Jen takes 2/3 of Joe’s piece. What’s Joe’s current piece?
Answer:1/3
Step-by-step explanation:
If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.
Help please!!!!!!!!!
Answer:
440 square inches
Step-by-step explanation:
5 x 8 x 11 = 440
Simplify the polynomial using multiplication.
−5b(2a−3a2)
−10a+3ba^2
−10ba+15ba^2
−5b+2a−3a^2
10ba−15ba^2
Answer:
−10ba+15ba^2
Step-by-step explanation:
The product of the given monomial and binomial is -10ab+15a²b.
The given expression is −5b(2a−3a²).
We need to simplify the polynomial using multiplication.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.
Now, 2a×(−5b)−3a²×(−5b)
=-10ab+15a²b
Therefore, the product of the given monomial and binomial is -10ab+15a²b.
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Which value for the variable w makes the
value of this expression 10?
50
W
A W=1/5
C W =60
BW= 5
Dw=500
Answer:
Step-by-step explanation:
It's C
Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room?
The dimensions of the room are
ft.
(Use a comma to separate answers as needed.)
Answer:
[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]
Step-by-step explanation:
(Assuming the den is a rectangle)
Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].
The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:
[tex]x(x-10)=231[/tex]
Expanding this, we have:
[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]
This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].
Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].
Please help. I need a smart person to help :)
Answer:
quadrant 2!
Step-by-step explanation:
pls help is ending of semester tomorrow
Answer:
18.7
Step-by-step explanation:
5.5 × 6.8 = 37.4 / 2 = 18.7
Answer:
This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h
A = (1/2 x 6.8 ) x5.5 = 18.7 ft²
Step-by-step explanation:
Which number line shows the solution of 5x- 25 <-15
Answer:
I would say C is correct.
Step-by-step explanation:
Hope this helps you and have a wonderful day:)
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Graph y+9=−3x. please help me
Well, first thing we need to do is put this in slope intercept form of y.
Subtract 9 from both sides to isolate "y".
y= -3x-9
Now we can graph the equation
Graph the point (0,-9) since it is the y-intercept.
To get the x intercept, isolate the "x" variable instead of "y".
y+9 = -3x
(Divide every number on both sides of the equation by -3 to isolate "x".)
y/-3 -3= x
now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.
0/-3 -3 = x
-3 = x.
Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.
I hope this helped.
what is the value of x and y?
Rewrite the function y = 2(x – 4)^2 – 5 in standard form.
Answer:
y=2x2−16x+27
Step-by-step explanation:
What is 11.242/22 eqaul?
I need ASAP
Answer:
11.242÷22=0.511
Plzzzzz give me Brainliest!!!!!
1. Use the Pythagorean Theorem to find x.
19
16
In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y + 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!
Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made
Answer:
1 1/2
Step-by-step explanation:
set up a proportion:
8 = 12
1 x
cross-multiply: 8x = 12
x = 12/8
x = 3/2 (simplified)
please help me?!!
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answer:
The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Step-by-step explanation:
Let u be the rate of the motorboat in still water (in kilometers per hour),
let v be the rate of the current.
Then the rate of the motorboat going downstream is u+v km/h,
while its rate going upstream is u-v km/h.
From the other side, the rate of the motorboat going downstream is 150/3=50km/h = 30 km/h.
Thus you have these two equations
u + v = 50 (1) (for the rate downstream), and
u - v = 30 (2) (for the rate upstream).
To solve the system, add equations (1) and (2). You will get
2u = 50 + 30 = 80; hence,
u = 80/2 = 40 km/h.
Then from the equation (1), v = 50 - u = 50 - 40 = 10 km/h.
ANSWER. The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answer:
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Step-by-step explanation:
We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
First we will find slope of the line given in graph
The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have points (1,6) and (2,2)
Slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]
Part a)
Write an equation of the line that passes through the given point and is (a) parallel
When the lines are parallel, they have same slope. So, slope of required line: m = -2
Using slope m =-2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]
The equation of line will be:
[tex]y=mx+b\\y=-2x+11[/tex]
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Part b)
Write an equation of the line that passes through the given point and is (b) perpendicular
When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2
Using slope m =1/2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]
The equation of line will be:
[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.
The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer: Answer Is C
Step-by-step explanation: Did the Quiz test thing
Answer:
C. 6p3 – 23p2 + 9p + 28
Step-by-step explanation:
edge
Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each gallon of milk costs $4.49. Consider the expression 2.79x + 4.49 (x-3).
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
Answer: all statements are true.
Step-to-step explanation:
Given: Cost of 1 box of cereal =$2.79
Cost of x boxes of cereal= $2.79 x
Each gallon of milk costs $4.49.
Hank bought 3 more boxes of cereal than gallons of milk.
gallons of milk = x-3
Total cost = (cost per box of cereal) × (x) +(Cost per gallon of milk) × (x-3)
= 2.79x + 4.49 (x-3)
All statements are correct:
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
The circumference of a circle is 64. What is the radius of the circle?
Is this correct for number 5 if not please help
Answer:
Yes it is! good job
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
i need two more , i got 1
Answer:
X=12,-4
Step-by-step explanation:
Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4
Which graph is used to model piece rate pay?
A. Piecewise
B. Piece rate
C. Scatterplot
D. Quadratic equation
Answer:
C
Step-by-step explanation:
The equation of graph is solved and graph that is used to model piece rate pay is the "piece rate" graph
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
The graph that is used to model piece rate pay is the "piece rate" graph. The piece rate graph shows how much money is earned for each unit of work completed. It is a linear graph with a slope that represents the rate of pay per unit of work completed.
The other graphs mentioned are used for different purposes:
A piecewise graph is used to represent a function that is defined by multiple equations on different intervals.
Hence , the graph is solved
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What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13
A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2
Answer:
C
Step-by-step explanation:
Given the 2 equations
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the y- term
- 10x - 4y = - 58 → (3)
Add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
Solution is x = 5, y = 2 → C
Answer:
c) x = 5, y = 2
Step-by-step explanation: