Answers
The definition of a triangle is a polynomial with 3 sides and interior angles adding up to 180.
Using the definition, we can create an equation.
[tex]180=42+31+x[/tex]
[tex]180=73+x[/tex]
[tex]x=107[/tex]
The measure of the third interior angle is 107 degrees.
Hope this helps.
頑張って!
Answer:
107
Step-by-step explanation:
triangle angles = 180
31 + 42 = 73
180 - 73 = 107
Related Questions
Find the distance between A(2,5) and B(-2,9)
Answers
Answer:
The answer is
[tex]4 \sqrt{2} \: \: or \: \: 5.656 \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(2,5) and B(-2,9)
The distance between them is
[tex] |AB| = \sqrt{ ({2 + 2})^{2} + ({5 - 9})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} \\ [/tex]We have the final answer as
[tex]4 \sqrt{2} \: \: or \: \: 5.656 \: \: \: units[/tex]Hope this helps you
tell if is: < or >
Answers
Answer:
-9 < -1
21/5 < 17/4
Answer:
-9 < -1
21/5 < 17/4
Step-by-step explanation:
A) when a number isnegitv ethe "smaller" number has more value. You would rather loose one doller than 9, right?
B) 21/5 = 4.20
17/4 = 4.25
and .25 os bigger than .20
please help, it’s a test and i don’t understand PLSPLS I HAVE LESS THAN AN HOUR!!!!
Answers
Answer:
1. obtuse
2. straight
3. acute
4. 62°
5. 72° ( I think, I'm not too sure on this one)
A(-7,3) B(4,5) the distance
Answers
Answer:
d= 5√5
Step-by-step explanation:
[tex]d =:\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\(-7,3)=(x_1,y_1)\\(4,5)=(x_2,y_2)\\\\d = \sqrt{(4-(-7))^2+(5-3)^2}\\\\d = \sqrt{(4+7)^2+(5-3)^2}\\\\d = \sqrt{(11)^2+(2)^2}\\\\d = \sqrt{121+4}\\\\d = \sqrt{125}\\\\d =5 \sqrt{5}[/tex]
write .48 as a fraction in simplest form
Answers
Answer:
12/25
Step-by-step explanation:
0.48 is read as "forty-eight hundredths," so we can write it as a fraction as
48/100.
Since both 48 and 100 have a common factor, we can reduce the fraction.
48 and 100 are both divisible by 4.
48/100 = 12/25
There are no common factors of 12 and 25, so 12/25 is the answer.
Answer:
12/25
Step-by-step explanation:
48/100 Divide by 2
24/50 Divide by 2 again
12/25 Can not be further simplified.
I hoped this helped you
Which statements are true based on the diagram?
Select three options.
1. Points N and K are on plane A and plane S.
2. Points P and M are on plane B and plane S.
3. Point P is the intersection of line n and line g.
4. Points M, P, and Q are noncollinear.
5. Line d intersects plane A at point N.
Answers
Answer:
Points N and K are on plane A and plane S.
Point P is the intersection of line n and line g.
Points M, P, and Q are noncollinear.
e2020
Step-by-step explanation:
According to the given diagram of Intersecting planes, Option (1), Option (3), Option (4) are True.
What are planes?A plane is a two-dimensional, flat surface that stretches indefinitely.
When does a point lie on a plane?A point is said to lie on a plane when it satisfies the equation of plane which is ax^3 + bx^2 + cx+ d = 0 and sometimes it is just visible in the figure whether a point is lying on a plane or not.
In Option(1) : Points N and K are lying on the line of intersection of plane A and S and will satisfy the equation of both planes.
In Option(2) : Point P is lying on both planes B and S, but the point M is lying only on plane B, hence this option is wrong.
In Option(3) : It is clearly visible the Point P is the point of intersection of lines n and g.
In Option(4) : It is clearly visible that Points M,P,Q are not lying on the same line, hence they are non-collinear.
In Option(5) : Line d intersects the plane A at point L and not point N, hence this is also wrong.
Hence the correct options are 1,3,4.
Learn more about planes:
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dilations PLEASE HELP ME PLEASE
Answers
Answer:
D' (6, - 6 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 3, that is
D (2, - 2 ) → D'(3 × 2, 3 × - 2 ) → D' (6, - 6 )
Prompt: What does Lincoln hope to gain by using the statement, "let us judge not, that we be not
judged"? Justify your answer and support it with information from the source.
Help!!!!!
Answers
Possible Answer:
"Let us Judge not, that we be not judged" I belive it means to not judge others by there Race, Relgion, or Color.
Consider the function represented by the graph. What is the domain of this function?
Answers
A container holds 2/3 gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
Answers
Answer:
You would DIVIDE to solve this problem.
each runner will
get 1/6 gallon of apple juice
Step-by-step explanation:
HELP HELP HELP HELP HELPPPP!!
Answers
Answer:
1. whole number 2. rational number 3. integer
Step-by-step explanation:
Answer:
6 = natural and whole
1/64 = rational
-2 = integer
Step-by-step explanation:
Which of the following numbers is a factor of 78?
Choose 1 answer :
A- 7
B- 4
C- 6
D- 9
Answers
Step-by-step explanation:
78 = 2 * 39 = 2 * 3 * 13.
Since 6 = 2 * 3 and its factors can be found in 78,
Hence the answer is 6. (C)
explain how to factorise i,j and n
Answers
Explanation:
I).
(x+5)^2 - 16 = 0
It’s in a form of: a^2 - b^2 = (a-b)(a+b)
(x + 5)^2 - 4^2 = 0
(x + 5 - 4)(x + 5 + 4) = 0
(x + 1)(x + 9) = 0
J.
(x - 4)^2 - 9 = 0
Same form: a^2 - b^2 = (a-b)(a+b)
(x - 4)^2 - 3^2 = 0
(x - 4 - 3)(x - 4 + 3) = 0
(x - 7)(x - 1) = 0
n).
(2y + 7)^2 - y^2 = 0
(2y + 7 - y)(2y + 7 + y) = 0
(y + 7)(3y + 7) = 0
Answer:
see explanation
Step-by-step explanation:
A difference of squares is factored in general as
a² - b² = (a - b)(a + b)
(i)
(x + 5)² - 16 ← is a difference of squares, that is
(x + 5)² - 4²
= (x + 5 - 4)(x + 5 + 4)
= (x + 1)(x + 9)
(j)
(x - 4)² - 9 ← is a difference of squares, that is
(x - 4)² - 3²
= (x - 4 - 3)(x - 4 + 3)
= (x - 7)(x - 1)
(n)
(2y + 7)² - y² ← is a difference of squares
= (2y + 7 - y)(2y + 7 + y)
=(y + 7)(3y + 7)
hey please help, thank you!
Answers
Which equation models this relationship? Help plz
Answers
Answer:
Hey there!
t=5d.
This means that for every hour she walks, she will walk five miles.
Let me know if this helps :)
easy - lots of points!!
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
Answers
Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9
0.75 into a fraction
Answers
Answer:
the answer is 75/100 simplify into 3/4
Step-by-step explanation:
the answer is seventy five out of a hundred then simplify getting your answer as 3/4
tell me the integers between this:
Answers
Answer:
[tex]\huge\boxed{-2,-1,0,1}[/tex]
Step-by-step explanation:
The order of integers from -3 to 2 is:
-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2
So, the integers between -3 and 2 are:
=> -2,-1,0 and 1
jon used 64.6 of fower to make 8 loafs bread. how much flower did he use to make each loaf of bread
Answers
Answer:
8.075
Step-by-step explanation:
Since john used the flour on 8 different loafs, the best way to solve this would be to use division. You did not specify lbs or any other weight so that's the only answer I can provide.
what divided by 3 is -2
Answers
Answer:
-1.5
Step-by-step explanation:easy
The lines shown below are parallel. If the green line has a slope of -17, what is the slope of the red line?
Answers
Answer:
it would be 17
Step-by-step explanation:
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?"
Let c represent the number of cows.
Which equation represents the situation?
c + 2 = 16
2c−2=16
2c + 2 = 16
2(c+2)=16
Answers
Answer: 2c + 2 = 16
Step-by-step explanation:
One group has 2 more than the other.
That means in total, they are the same but + 2.
Only 2c + 2 = 16 represents this.
A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6 LaTeX: 7\:=\:t\:+37 = t + 3 Justification: ? like terms
PLEASE ANSWER!!
Answers
Answer:
t + 3
Step-by-step explanation:
Calculate the number of latex
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. A cylinder has a radius of 7 cm and a height of 12 cm. Calculate the total surface area. (Take π = 22/7)
Answers
Answer:
154cm^2
Step-by-step explanation:
Area of circle= pi×r^2
= 22/7 × (7cm)^2
= 22/7 × 49cm^2
= 154cm^2
Point O is on line segment NP. Given N P = 4x + 10, NO = 4x, and
OP = x + 5, determine the numerical length of NP.
Answers
Answer:
30
Step-by-step explanation:
Hope this will help:)
The numerical length of line segment NP will be 30 units.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Point O is on line segment NP.
Given NP = 4x + 10, NO = 4x, and OP = x + 5.
We know that for a line segment.
PN = PO + ON
4x + 10 = 4x + x + 5
x = 5
Then the numerical length of line segment NP will be
NP = 4x + 10
NP = 4(5) + 10
NP = 20 + 10
NP = 30
Then the numerical length of line segment NP will be 30 units.
More about the line segment link is given below.
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3 Hundreds = ____ Tens
Answers
PLEASE ANSWER THE FOLLOWING 4 QUESTIONS PLEASE BE HONEST
Answers
Answer: Answer
Step-by-step explanation:
The Blue One- 85
The Red One- 47
The Green One- 48
The Pink One- There were 6 penguins swimming in the sea. Two left, then 5 joined. How many penguins are there swimming in the sea now?
6 - 2 + 5 = x
Please let me know if my Math is correct!
Two rays that intersect at a right angle are best described as which of the
following?
A. Parallel rays
B. Perpendicular rays
C. Skew rays
D. Intersecting rays
Answers
Answer:
B. Perpendicular rays
Step-by-step explanation:
Definition Perpendicular: Perpendicular lines, rays, or segments intersect at right angles. If lines, rays, or segments are perpendicular, then they are right angles. If lines, rays, or segments intersect. at right angles, then they are. perpendicular.
Hope this Helps
The rays that intersect at a right angle are perpendicular rays option (B) is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
As we know,
From the definition, the perpendicular lines are the lines that intersect at right-angle or 90 degrees.
Two rays that intersect at a right angle are perpendicular rays.
Thus, the rays that intersect at a right angle are perpendicular rays option (B) is correct.
Learn more about the perpendicular line here:
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Which expression is equivalent to 3x + 14 + 3x + 10?
Answers
Answer:
6x+24
Step-by-step explanation:
The expression 6x+24 is equivalent to 3x+14+3x+10
3x+14+3x+10
3x+3x+14+10
6x+24
Hope this helps ;) ❤❤❤
Answer:
6x + 24
Step-by-step explanation:
Step 1:
3x + 14 + 3x + 10
Step 2:
6x + 14 + 10
Answer:
6x + 24
Hope This Helps :)
48/16 divided by 18/24
Answers
Answer:
4
Step-by-step explanation:
3/.75=4
Answer:
4
Step-by-step explanation:
48/16 equals to 3. 18/24 equals to 3/4 or 0.75. 3 divided by 0.75 equals to 4