Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!
Answers
The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .
A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.
One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
We know when we add all the angles of any given triangle it is 180°
∴ a° + b° + c° = 180°
or, a° + b° = 180° - c°
Now we know that a linear pair the sum of the angles is 180°.
∴c° + f° = 180°
or, f° = 180° - c°
So from the above two equations we can say that
f° = a° + b°
Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.
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Related Questions
Solve: |x - 4| = 0
Help if can
Answers
Answer:
answer is x=4 I'm pretty sure
Step-by-step explanation:
I used a calculator
Answer:
x=4
Step-by-step explanation:
If you plug 4 in, 4-4=0 and the absolute value will not change anything.
Complete each ordered pair so that it is a solution of the given linear equation.
x-3y = -2;( ,1). (-8, )
Answers
Answer: (1, 1), (-8, -2)
Step-by-step explanation:
Let’s start with the first solution: ( , 1)
We know that the y-coordinate for this solution is 1, so we can plug that in to find the x-coordinate.
x - 3y = -2
x - 3(1) = -2
x - 3 = -2
x = -2 + 3
x = 1
Therefore, for this solution x = 1, so our final solution is (1, 1).
Now let’s work on the second solution: (-8, ).
We know that the x-coordinate for this solution is -8, so we can plug that in.
x - 3y = -2
-8 - 3y = -2
-3y = -2 + 8
-3y = 6
y = -2
Therefore, for this solution y = -2, so our final solution (-8, -2).
Which direction am I going if I drive from Washington DC to Dallas texas
Answers
Answer:
north
Step-by-step explanation:
How do you do this question?
Answers
Answer:
(a) >, decreasing
(b) 0, horizontal
Step-by-step explanation:
(a) dy/dt = eᵗ (y − 1)²
eᵗ is always positive, and (y − 1)² is always positive. So dy/dt is always positive. Meaning the graph of the solution can never be decreasing.
(b) When y = 1, dy/dt = e¹ (1 − 1)² = 0. However, this graph does not have a horizontal tangent line at y=1, so this is not the solution of the differential equation.
What are the coordinates of the image of triangle ABC after dilation with the center (0,0) and the scale factor of 3?
Answers
Answer:
1.5
Step-by-step explanation:
What is the measure of angle G? Type only the number:
Answers
Answer: 48
Step-by-step explanation:
total of all the degrees of the angles of the triangle is ALWAYS 180
let the measure of angle G be x
180 = 102+30+x
180 = 132+x
x = 48
what is an equation of the line that passes through the points (-2,-7) and (-1,-3)
Answers
Answer:
y=4x+1
Step-by-step explanation:
First you need to solve for slope using the equation:
y2-y1/x2-x1
It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.
(-3)-(-7)/(-1)-(-2)=-4/-1=4
Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.
(Lets use point one)
-7=4(-2)+b
-7=--8+b
1=b
Last we can put it all together.
y=4x+1
AYOOOOOOOOOO HELP PLESE WILL GIBE BRAINLIST
Answers
Answer:
15 rooms
Step-by-step explanation:
1:$32 = x:$500
$32×x = 1×$500
x = $500/$32
x = 15, 625
Answer:
Might as well collect the points. I'm the guy from the comments.
Step-by-step explanation:
Help please ;-; The values in the table represent a linear function.
x 1 2 3 4
f(x) −3 −1 1 3
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
Answers
Answer:
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
The slope-intercept form of a function is given as:
[tex]y = mx+b[/tex]
Here
m is the rate of change of function and b is the y-intercept
The rate of change is calculated as:
[tex]m = \frac{difference\ in\ y}{difference\ in\ x}[/tex]
For this, any two pairs of input and output can be taken.
So using the pairs (1,-3) and (2,-1)
[tex]m=\frac{2-1}{-1+3}\\=\frac{1}{2}[/tex]
Putting the value of slope in slope-intercept form
[tex]y = \frac{1}{2}x+b[/tex]
Putting (1,-3) in the equation
[tex]-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}[/tex]
Putting the value of b
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Hence,
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Use the distributive property to write an equivalent expression without parentheses.
9 (a + 8)
Check all that apply.
Distribute 9, by multiplication, to the variable, a, and to the constant, 8.
Write the two multiplications, 9(a) + 9(8)
The expression 9(a) is written as 9a.
The expression 9(8) equals 72.
The equivalent expression is 9a + 8.
The equivalent expression is 9a + 72.
100 points if anyone can give me the RIGHT answers to this question!
Answers
Answer:
all except e
Step-by-step explanation:
Answer:
all of them acept number 1
Step-by-step explanation:
i just want points
A hotel has 22 clean towels and 78 dirty towels. What is the ratio of the number of clean towels to the total number of towels?
Answers
Answer:
22:78
Step-by-step explanation:
lol
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answers
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
Combine like terms, showing one step per line. Justify each step using a rule of algebra or "Combining Like Terms." You may need to add extra rows. Expression Justification 7x + 3 + 9x + 15 Given 7x
Answers
Answer:
By combining like terms, we have 16x + 18
Step-by-step explanation:
Here, we want to combine like terms
we simply bring terms that are similar together in this case
Thus, we have
7x + 9x + 3 + 15
16x + 18
Write 1270 in expanded form using exponents
Answers
Step-by-step explanation:
Answer:
[tex]1.270[/tex] × [tex]10^{3}[/tex]
I hope this helps!
What type of sequence do these figures belong?
Answers
Answer:
what figures? pls share the picture of the figures
Step-by-step explanation:
HELLPPPP PLEASEEE!!
A pack of gum costs $1.49. It has 25 pieces in a pack. How much does it cost to chew each piece of gum?
Answers
Answer:
$0.05
Step-by-step explanation:
<3
Find the area of the circle
Answers
3.14 * 6^2
3.14 * 36
113.04
Find the Solution of the equation -2x + 7 = 7
Answers
Answer:
x = 0
Step-by-step explanation:
-2 x 0 + 7 = 7
-2 x 0 = 0
0 + 7 = 7
1
A line has a slope of 5 and a y-intercept of -2
Answers
Answer:
1
Step-by-step explanation:
Answer:
(2/5,0)
Step-by-step explanation:
The equation to find a line is mx+b=y. In this case m is 5, and b is -2.
5x+-2=y
Since we want to find the x-intercept, y has to be 0.
So: 5x+-2=0
5x=2
x=2/5
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
Answers
Answer:81%
Step-by-step explanation:
Answer:
60% tiger trout
Step-by-step explanation:
First, do 22+18= 40
Then, when doing % its always out of 100. So, 100 - 40= 60%
Which means, there were 60% Tiger trout.
Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answers
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answers
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent
Please help what is the answer
Answers
Answer:
7^12=13,841,287,201
Step-by-step explanation:
when you are putting a power to a power, you just multiply the powers by each other
Answer:
7^12
Step-by-step explanation:
(7^6)^2
7^12
Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1
Answers
Answer:
A. y=|x+1|
Step-by-step explanation:
what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!
The equation represented by the graph is y=|x+1|
How to determine the equation?The equation is an absolute value graph
The parent function of an absolute value graph is:
y = |x|
The above function is shifted to the left by 1 unit.
This transformation is represented by y=|x+1|
Hence, the equation represented by the graph is y=|x+1|
Read more about function transformation at:
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Suppose you and your colleagues have identified three reliable and recent polls. Looking at the results of all three, you find their p-values to be: 0.058 0.026 0.045 Barring any major incidents between now and election day, how much evidence do you have to predict your candidate will win the election
Answers
Answer:
The answer is "Pretty confident our candidate will win".
Step-by-step explanation:
All the following theories:
[tex]H_o[/tex]: The loss of our candidate
[tex]H_a[/tex]: Our candidate
P values of 0.058, 0.026 and 0.045 are defined.
All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha. Therefore, the right reply is that our candidate will win very comfortably.
Simplify the expression below: (3−13)2+1442−5·2
Answers
Answer:
1412
Step-by-step explanation:
2*(3 - 13) + 1442 - (5 * 2)
Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.
6 - 26 + 1442 - 10
Now simplify the expression by adding and subtracting the terms.
1412 is the answer.
#teamtrees #WAP (Water And Plant)
what is the 101st term for the sequence 13, 9, 5, 1... ?
Answers
Step-by-step explanation:
a=13d=13-9=4[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right][/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 50.5×1248 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101=63504[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_n=a+(n-1)d [/tex][tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+(101-1)-4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+100(-4)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13-400 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=-387 [/tex]
Which ordered pair would form a proportional relationship with the point graphed below?
(10.-20)
(-30, 20)
(-10,5)
(35, -20
Answers
helppppp help help helppppp help help thanks
Answers
Answer:
60 percent
Step-by-step explanation:
Answer:
60% are roses
Step-by-step explanation:
1. Add all the numbers together to find the total
15+6+4= 25 total flowers
2. Put the total as the denominator, and the rose count as the numerator since we are trying to find what percentage are roses
15/25
3. Simplify fraction
15/25= 3/5
4. Divide numerator by denominator
300/5
5. Simplify
300/5= 60%
If Sally makes $7.25 / hour and works 40 hours plus 8 hours overtime what will she get paid?
Answers
Answer:
$348
Step-by-step explanation:
40 + 8 = 48 x 7.25 = 348