Answer:
∠ABC=52
Step-by-step explanation:
(5x-22)+(4x+4)=90
9x-18=90
x-2=10
x=12
12*4+4=52
Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. 4 lines are connected. Line segment L M connects to line segment M N to form angle 1. Line segment M N connects to line segment N O to form angle 2. Line segment N O connects to line segment O P to form angle 3. A 2-column table has 5 rows. Column 1 is labeled statements with the entries line segment N M is parallel to line segment P O, angle 2 is-congruent-to angle 3, angle 1 is-congruent-to angle 3, angle 1 is-congruent-to angle 2, line segment L M is parallel to line segment N O. What is the missing reason in the proof? given transitive property alternate interior angles theorem converse alternate interior angles theorem
Answer:
C: Alternate interior angles theorem
Step-by-step explanation:
Edge 2020
The missing reason in the proof is:
transitive property.(See image in the attachment below for the diagram containing full information of the question).
Transitive property in mathematics can be explained below for better understanding:If,
[tex]p= q, $ and \\r= q[/tex]
then,
[tex]q = r[/tex]
From the proof stated, we know that:[tex]\angle 2 = \angle 3\\\angle 1 = \angle 3[/tex]
Applying the transitive property of equality, therefore,
[tex]\angle 1 = \angle 2[/tex]
Because we can prove that [tex]\angle 1 = \angle 2[/tex] by the transitive property of equality, therefore, the last statement in the proof can be justified also stating that lines LM and NO are parallel based on the converse of alternate interior angles theorem.
Therefore, the missing reason that justifies why [tex]\angle 1 = \angle 2[/tex] is:
transitive propertyLearn more about transitive property here:
https://brainly.com/question/4919758
Write the equation of the line that passes through (5, -12) and has a slope of 6
Answer:
y + 12 = 6(x - 5)
Step-by-step explanation:
Use the point-slope formula: y - k = m(x - h).
Here we have y + 12 = 6(x - 5)
A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
Which box plot could represent this data?
Answer:
First box plot
Step-by-step explanation:
In the figure attached, the options are shown.
The left end of the box is the lower quartile (also called quartile 1 or Q1)
The right end of the box is the upper quartile (also called quartile 3 or Q3)}
The interquartile range (IQR) is computed as follows:
IQR = Q3 - Q1
If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8
The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5
The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).
What is Interquartile Range (IQR)?Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.
Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.
Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).
Learn more about interquartile range on:
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6³=216. Using exponents, write three more expressions whose value is 216.
I don't understand. Please help.
Answer:
36
Step-by-step explanation:
reverse the number
A right angle is equal to how many angles
Answer:
90 degrees
A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD).
Step-by-step explanation:
Answer:
3 angles
Step-by-step explanation:
there are 3 angles, one a right angle (90 degrees), and the other two are acute angles (45 degrees)
Which statement is correct?
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less than
or equal to 0.
O The domain and range of the graph are the same.
The range of the graph is all real numbers.
Answer:
The answer is D.
Step-by-step explanation:
You cannot have the range of a number in negative numbers. The range will always be in positive numbers, and the range will never be in a fraction.
The range of the graph is all real numbers.
Each domain and range are the set of all actual numbers. however, due to the fact, absolutely the fee is described as a distance from 0, the output can only be greater than or identical to zero. The domain is all real numbers since the horizontal extent of the graph is the complete real range line.
Why are the range all real numbers?For any actual quantity, you may continually find a price that gives you that wide variety for the output. Except a linear function is a regular, together, there's no restriction at the range. The domain and range are all real numbers.
Learn more about the range here https://brainly.com/question/2264373
#SPJ2
Evaluate.
Remember Order of Operations!
PEMDAS)
100 = 5 x
(4 + 2)
ANSWER: 100=5*6
100=30
HOPE IT HELPS!
Answer:
x = 3 1/3
Step-by-step explanation:
Let's go over the order of operations.
P: Parentheses
E: Exponents
M/D: Multiplication/division (in order of appearance)
A/S: Addition/Subtraction (in order of appearance)
100 = 5*(4 + 2)
Since there are values in parentheses, solve those first: 100 .= 5x(6).
Next, multiply 5x by 6. 100 = 30x.
Finally, divide each side by 30 to find the value of x. 3 1/3 = x
Therefore, the value of x is 3 1/3.
(Note: this is assuming the term "x" is a variable, and not the multiplication sign, *.)
which of the following equations does not have a solution of x = 6?
Answer:
blue box x-22=28
Step-by-step explanation:
message me
Answer:the blue square since it would become -28
Step-by-step explanation:
What is the perimeter of an optician
Answer:
Depends on their size, higher, and width.
Step-by-step explanation:
Simplify the expression
Answer:
x^(3)y^(4)\sqrt(2)
Step-by-step explanation:
What is the area of the triangle shown below?
Answer:
65
Step-by-step explanation:
In order to find the area you have to complete a formula for triangles going Area = 1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)
place holder for the question
Answer:
36cm²
Step-by-step explanation:
area of a parallelogram is base×height so
6×6=36
Answer:
36 square cm
Step-by-step explanation:
The equation to find the area of a parallelogram is b(h)
6(6)=36
Hope this helps :)
What is the answer to this question?
Answer:
The answer is 480 in^3
Step-by-step explanation:
Right rectangular prism calc - find V
volume = h * w * l where h is prism height, w is its width and l its length.
Will give right answer brainliest!!
Parallelogram ABCD is a pre-image that was transformed by rx-axis. Determine the vertices that correspond with the ordered pairs of the image vertices.
A’ =
B’ =
C’ =
D’ =
Answer:
A’ = 73 degrees
B’ = 107 degrees
C’ = 73 degrees
D’ = 107 degrees
ABCD has four sides and is a parallelogram. hey would all have to add up to 360 degrees degree angles if all the sides were to connect.
Answer:
A=(0,1)
B=(-4,1)
C=(-5,4)
D=(-1,4)
Step-by-step explanation:
determine whether each table represents a linear quadratic or exponential function
Answer:
Table A: exponencial function
Table B: quadratic function
Table C: linear function
Step-by-step explanation:
Table A:
for x from 1 to 2, Y increased by 6
for x from 2 to 3, Y increased by 18
for x from 3 to 4, Y increased by 54
So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.
Table B:
for x from 1 to 2, Y increased by 6
for x from 2 to 3, Y increased by 10
for x from 3 to 4, Y increased by 14
The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.
Table C:
for x from 3 to 6, Y increased by -2
for x from 6 to 9, Y increased by -2
for x from 9 to 12, Y increased by -2
The increment of Y is constant for the same increment of X, so this is a linear function.
i need help with thisss hurry!
Answer:
December
Step-by-step explanation:
87-38 = 49
Which point is the centroid of the triangle?
Question 5 options:
A)
D
B)
G
C)
F
D)
C
Answer:
The answer is B) G
Step-by-step explanation:
G is at the center of the triangle. It is a centroid because it is where all the medians meet.
What’s the answer???
And please explain
Answer:
35 square units
Step-by-step explanation:
[tex]area \: of \: { \parallel}^{gm} = b \times h \\ = 7 \times 5 \\ = 35 \: {units}^{2} [/tex]
3(1−2)<33
I need answers ASAP
And could u explain how to do it if possible
I will give brainliest!,
Answer:
true
Step-by-step explanation:
3(1)+3(-2)
3+(-6)=-3
-3<33 is true
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Help please help please I’m begging you
Answer:
A = 143 cm^2
Step-by-step explanation:
The area of a rectangle is found by
A = b*h where b is the base and h is the height
A = 11 *13
A = 143 cm^2
Answer:
11x13
143
Step-by-step explanation:
Write a linear equation from a slope and a point
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 30 cm, find its area.
Equation To write :2 {x+ ( x+5) }=30
Let's solve your equation step-by-step.
2(x+x+5)=30
Step 1: Simplify both sides of the equation.
2(x+x+5)=30
(2)(x)+(2)(x)+(2)(5)=30(Distribute)
2x+2x+10=30
(2x+2x)+(10)=30(Combine Like Terms)
4x+10=30
4x+10=30
Step 2: Subtract 10 from both sides.
4x+10−10=30−10
4x=20
Step 3: Divide both sides by 4.
4x
4
=
20
4
x=5
So... x+5=10.
Area =5x10=50 cm squared.
Answer:
5
Step-by-step explanation:
Okay, so P = perimeter, and the problem says P = 30
Let's call x the width, and y is the length.
In the perimeter formula, 2X + 2Y = P
so 2X + 2Y = 30
The problem also tells us that that x = y+5, so now let's do some substituting and replace X with Y+5
2(y+5) + 2Y = 30
2y+10 +2Y = 30
4y+10=30
-10. -10
4y=20
Y=5
TRIED MY BEST PRETTY SURE ITS RIGHT
There are six slices of cake left at the end of a party. If that was 2/9 of the total of the cake that the party began with, how many slices were in the cake to begin with? (enter you answer as a number only, no words) *
Answer:
27
Step-by-step explanation:
6 divided by 2/9=27
The surface areas of two similar figures are 81 m2 and 121 m2. The volume of the
smaller figure is 2187 m². What is the volume of the larger figure?
Answer:
20201
Step-by-step explanation:
Please calculate the volume of the triangular prism (MIDDLE SCHOOL MATH)
Answer:
52.374 cm*3
Step-by-step explanation:
the upper triangle is equal to the bottom triangle
Btw fyi the formula of calculating the value of a prism is:
area of the base × height
A recipe says that 3/4 cup of water is needed to make 1 loaf of bread which measurements represents the number of cups of water needed to make 8 loaves of bread
Answer:
i think six cups?
Step-by-step explanation:
i took 3/4 and multiplied it by 8 and got 6
If sales tax is 10 percent, and a new palr of sneakers costs
$70, how much do you actually have to pay?
Answer:
77
Step-by-step explanation:
10 percent of 70 is 7 so 70 plus 7 is 77
Answer:
77
Step-by-step explanation:
70 x 10%= 7
70+7= 77
can someone help me please?
Answer:
(10,11)
(8,7)
(6,3)
(4,-1)
(2,-5)
(0,-9)
(-2,-13)
(-4,-17)
Answer: the image of how its supposed to be graphed is listed down below! hope this helped!
Step-by-step explanation:
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
Solve log2x = log12x by graphing. What equations should be graphed?
Answer:
B and C
Step-by-step explanation:
B and c
Answer:
1st: b,c
2nd: 1
Step-by-step explanation: