Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180' She draws a triangle and extends one of the sides through a vertex. She then draws a line through th
Vertex thai paralel to the opposite side as shown in the diagram below
Answers
Answer:
The statements that must be true are;
A. m∠1 = m∠5
B. m∠2 = m∠4
C. m∠3 + m∠4 + m∠5 = 180°
Step-by-step explanation:
The given parameters are;
The fact Katherine wants to prove = The sum of the measures of the interior angles of a triangle = 180°
The line Katherine drew passing through the vertex = Parallel to the opposite side of the triangle
Therefore we have;
1) m∠1 and m∠5 are corresponding angles and m∠1 = m∠5 for corresponding angles of parallel lines having the same transversal
2) m∠2 and m∠4 are alternate interior angles and m∠2 = m∠4 for alternate interior angles of parallel lines having the same transversal
3) m∠3 and m∠4 and m∠5 are angles on a straight line and angles on a straight line are supplementary
∴ m∠3 + m∠4 + m∠5 = 180°, by the definition of supplementary angles
Therefore, m∠3 + m∠2 + m∠1 = 180° (substitution property)
m∠3 + m∠2 + m∠1 = Sum of interior angles of a triangle = 180°.
Related Questions
A bakery sells 15 cupcakes for $18. Calvin wants to buy 1 cupcake. Which proportion can Calvin use to find the cost?
Answers
Answer:
the distributive properties
Step-by-step explanation:
The above is
Not a function (right answer)
Answers
Answer:
mnbvcxcvhjkl
Step-by-step explanation:
The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?
Answers
Answer:
-1.34
Step-by-step explanation:
I WILL GIVE BRAINLIEST AND 36 Points
Refer to screenshots
8. Which line on the graph represents the equation y=3x-2?
line A
line B
line C
line D
9.Which equation represents the graph?
y = |x| – 4
y = |x – 4|
y = |x + 4|
y = |x| + 4
12.Which equation represents the graph?
y = |x| + 6
y = |x – 6|
y = |x| – 6
y = |x + 6|
17.Which set of ordered pairs corresponds to the graph?
{(5, 1), (4, 2), (0, –1), (–2, 3), (–5, 1)}
{(–2, 3), (5, 1), (–5, 1), (1, 0), (4, –2)}
{(–5, –1), (–2, 3), (0, –1), (4, –2), (5, 1)}
{(–2, 4), (–1, –5), (–1, 0), (1, 5), (3, –2)}
19.Which equation is represented by the table?
Y=-|X-1|-4
Y=|X-1|-4
Y=-|X+1|-4
Y=|X+1|-4
Answers
Answer:
1.a
2.c
3b
4.c
5.a or b
Step-by-step explanation:
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina
Answers
Answer:
Both are correct
Step-by-step explanation:
To check the validity of their statements, we shall be using direct examples
For Ivan , we can have an example of his assertion as follows;
-1/2 * -1/3 = 1/6
For Polina, we can have
-1/2 * -1/3 * -1/4 = -1/24
We can see from the above that both of them got their opinions correctly as there are no exceptions to the above
Answer:
both Ivan and Polina
Step-by-step explanation:
2,3,5,7,11,13 conjecture
Answers
Answer:
The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. The sequence of gaps—the differences between each prime and the next—is 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2 and 4. The number 1 appears only once because all primes except for 2 are odd. The rest of the gaps are even numbers.
The conjecture which could be inferred from the sequence is that it is a list of prime numbers.
From the sequence given : 2, 3, 5, 7, 11, 13
All values in the sequence are prime numbers.
Prime numbers are numbers which have only two divisors which are 1 and the number itself.
Divisors of :
2 = 1 and 2
3 = 1 and 3
5 = 1 and 5
7 = 1 and 7
11 = 1 and 11
13 = 1 and 13
Hence, the conjecture which could be inferred from the sequence is that, the numbers are prime numbers.
Learn more : https://brainly.com/question/9315685
1/3 improper or proper
Answers
Answer:
Proper
Hope this helps!
Write the equation of a line in slope-intercept form.
2y = 3х + 2
Answers
y= 3/2x - 5/2
i need help 10 points plz help
Answers
Answer:
$15.10 per hour
Step-by-step explanation:
105.70÷7= $15.10 per hour
The leg from the waiting area to the airplane's takeoff ( its hard to explain sorry)
Answers
Answer:
Can u explain make it clearer
Step-by-step explanation:
It's confusing
Answer:0.1= .75 Of an hour
Step-by-step explanation:
Brainliest for the correct answer Does this graph represent a function? Why or why not?A.No, because it is not a straight line.B.Yes, because it passes the horizontal line test.C.Yes, because it passes the vertical line test.D.No, because it fails the vertical line test.
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is A. No, because it is not a straight line.
9 x 10^2 is how many times as much as 3 x 10^-2?
Answers
Answer:3*10^4
Step-by-step explanation:
3 multiply 10 to the 4 power (positive)
-4x-3(x+8) what’s the answer
Answers
Answer:-7x-24
Step-by-step explanation:
Answer:
-7x-24
Step-by-step explanation:
not sure if youre looking for what x equals or just distribution of -3
-4x-3(x+8)
distribute -3 to x and 8 (multiply)
-4x-3x-24
add like terms
-7x-24
What is the sample mean of the data set? Round to the
nearest hundredth
1
33
What is the sample standard deviation of the sample?
Round to the nearest hundredth
2
34
3
42
4
36
5
39
6
36
7
39
8
40
9
44
Answers
Answer:
38.11 and 3.66
Step-by-step explanation:
The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively.
What is the mean absolute deviation?The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.
The mean is the average of the data set and given by
Mean = sum of all the data sets/number of data set
Mean = (33 + 34 + 42 + 36 + 39 + 36 + 39 + 40 + 44)/9
Mean = 38.11
Now standard deviation is given by
[tex]s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}[/tex]
Where N is the number of data while the x bar is the mean.
So by using the formula,
Standard deviation = 3.66.
Hence "The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively".
For more information about mean absolute deviation,
brainly.com/question/10528201
#SPJ2
If the m<4 is 110 degrees, what is m<1 ? (Give number value only.)
Answers
Answer:
70
Step-by-step explanation:
I'm not entirely sure, but lines b and a look congruent and vertical angles are congruent and measure 1, 4 would be 180 degrees.
Does the parabola open up or down? Is the y-coordinate of the vertex a minimum value or a maximum value?
f(x) = 5x^2-x
Answers
it opens up and the y coordinate of the vertex is a minimum value!
find the value of x (pic attached)
Answers
Answer:
x=4
Step-by-step explanation:
they are the same
what you do is take 4x+23 and make it equal to 10x-1
4x+23=10x-1
+1 +1
4x+24=10x
-4x -4x
24=6x
/6 /6
x=4
solve for y
its not 14 lol
Answers
Answer:
16.97
Step-by-step explanation:
b= [tex]\sqrt{c^2-a^2}[/tex]
a= [tex]\sqrt{18^2-6^2}[/tex]
b= [tex]\sqrt{324-36}[/tex]
b= [tex]\sqrt{288}[/tex]
b=16.970562748477
The van used 12 gallons of fuel when it traveled 204 miles. How many miles will the van have traveled when it has used 18 gallons of fuel?
Answers
Answer:
306
Step-by-step explanation:
204/12 = 17
17 x 18 = 306
17 is the unit rate
So 18 gallons x 17 miles = 306 miles
What is the x-intercept of the line 5x – 2y = 10?
Answers
If x=2, what is the value of y in the equation y=3x−1
A. y=3
B. y=-5
C. y=-3
D. y=5
please help fast please
Answers
Answer:
D.
Step-by-step explanation:
If y=3(2)-1, then y=6-1, therefore y=5
I need to know about math units pleaaaaase
Answers
Answer: In math, the word unit can be defined as the rightmost position in a number or the one's place. Here, 3 is the unit's number in the number 6713. A unit may also mean the standard units used for measurement.
PLEASE HELP! Will give brainliest also please show your work
Answers
Answer:
-2, 8, 6
Step-by-step explanation:
x-3y+3z=-8
3x+2y-z=4
7x+y+2z=6
3x+2y-z=4
10x+3y=4
13x+5y=14
y=8
x=-2
3(-2)+2 x 8 - z = 4
z=6
Is 2 an irrational number
Answers
Answer:
no its rational
Step-by-step explanation:
HELP HAVING A BAD DAY
Graph the line given by the equation.
2y=-3x
Answers
Answer:
u should never have a bad day just keep grinding you going to be who u want to be 1 day u should never feel down and the answer is -3/2 is your slope
Step-by-step explanation:
explanation: to isolate the variable (y) you divide by 2 to get 1y (aka y). you must do this to both sides, so you end up with -3/2 for the slope.
A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. A square. Most of the square is shaded blue. In the bottom right of the square is a smaller square, outlined in a dashed line, and not shaded. Which expression represents the area of the remaining paper shape in square centimeters? (x – 7)(x – 9) (3x – 2)(3x – 8) (3x – 4)(3x + 4) (9x – 1)(x + 16)
Answers
Answer:
(3x - 4) (3x + 4)
Step-by-step explanation:
Area of the square paper = 9x^2 square centimeters
Area of the square corner = 16 square centimeters
The area of the square corner is removed from area of the square paper.
That is,
9x^2 - 16
Factorise by finding the square root of each term
9x^2
Square root of 9x^2 = 3x
Check:
3x * 3x = 9x^2
Square root of 16 = + or - 4
9x^2 - 16 = (3x - 4) (3x + 4)
Check:
(3x - 4) (3x + 4)
9x^2 + 12x - 12x - 16
= 9x^2 - 16
Answer:
hey guys lol its c on edg.
Step-by-step explanation:
What are the Factors of 32 and 72?
Answers
Answer:
The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1, intersecting the two sets above.
plz mark brainliest :DD
Answer:
The gcf of 32 and 72 can be obtained like this: The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1,
Step-by-step explanation:
PLEASE HELP MEEEEE!!!!!!!
Answers
Answer:
Cheese: [tex]4\frac{3}{8}[/tex] Milk: [tex]1\frac{2}{3}[/tex] Pasta: [tex]6\frac{1}{4}[/tex]Step-by-step explanation:
Cheese:
[tex]1\frac{3}{4} = \frac{7}{4}[/tex] Set up a proportion: [tex]\frac{\frac{7}{4} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375[tex]4.375 = 4\frac{3}{8}[/tex]Milk:
Set up a proportion: [tex]\frac{\frac{2}{3} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 2/3 = [tex]6\frac{2}{3}[/tex], [tex]6\frac{2}{3}[/tex] ÷ 4 = [tex]1\frac{2}{3}[/tex]Pasta:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] Set up a proportion: [tex]\frac{\frac{5}{2} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25[tex]6.25 = 6\frac{1}{4}[/tex]I hope this helps!
Please Help!!!
A.) What is the perimeter of this triangle?
b.) If the perimeter is 90 what is x?
Answers
Answer: 12.5
Step-by-step explanation:
What is this answer.
Answers
Answer:
something
Step-by-step explanation:
