==========================================================
Explanation:
There are two methods you could use. The first method involves the remote interior angle theorem. This says the remote interior angles (the two y angles) add to the exterior angle (130)
y+y = 130
2y = 130
y = 130/2
y = 65
--------
Or we could find the interior angle that is adjacent to the 130 degree angle. This is 180-130 = 50 degrees. So this is the top interior angle of the triangle. For any triangle, the three interior angles always add to 180
angle1+angle2+angle3 = 180
y+y+50 = 180
2y+50 = 180
2y = 180-50
2y = 130 ... from here on out, the steps are the same as above
y = 130/2
y = 65
So this helps show how the remote interior angle theorem is set up
Select ALL the correct answers.
Select all of the equations with a solution
Answer:
B, C
Step-by-step explanation:
Plug in the x value for each x, and solve. Make sure that the two sides are equal to one another before verifying that it is true.
Please help! I need details for all the transformation(s). (Translation, reflection, rotation.)
Answer:
ABC is reflected over the line x=1, then translated up 6 units.
The lengths of the sides of the triangles are congruent, so the triangles are congruent.
Step-by-step explanation:
ABC is reflected over the line x=1, then translated up 6 units.
The lengths of the sides of the triangles are congruent, so the triangles are congruent.
Write the equation in standard form for the circle that has a diameter with endpoints (22,0) and (2,0)
Answer:
(x - 12)² + y² = 100
Step-by-step explanation:
The standard form of the equation of a circle is;
(x - a)² + (y - b)² = r²
where:
a and b are the coordinates of the centre of the circle
r is the radius
We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)
Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.
Coordinates of the centre is;
((22 + 2)/2), (0 +0)/2))
This is;
(12, 0)
So, a = 12 and b = 0
Now,to get the radius r, we will use the formula;
r = √[(x2 - x1)² + (y2 - y1)²]
Where;
(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)
r = √[(12 - 22)² + (0 - 0)²]
r = √(-10)²
r = √100
r = 10
Thus,equation of the circle is;
(x - 12)² + (y - 0)² = 10²
(x - 12)² + y² = 100
|-15-7|= simply the expression
Answer:
22
Step-by-step explanation:
|-15 - 7|
-15 - 7 = -22
|-22| = 22
Functions stuff. Picture attached. 30 points. thanks <3
Answer:
A
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{3+x}{x-3}[/tex]
And we want to find:
[tex]f(a+2)[/tex]
To do so, substitute in (a+2) for x:
[tex]f(a+2)=\frac{3+(a+2)}{(a+2)-3}[/tex]
Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:
[tex]f(a+2)=\frac{5+a}{a-1}[/tex]
The answer is A.
Answer:
[tex]\Large \boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x) = \frac{3+x}{x-3}[/tex]
For f(a + 2), the input for the function f(x) is (a + 2).
Replacing x with (a + 2).
[tex]\displaystyle f(a+2) = \frac{3+(a+2)}{(a+2)-3}[/tex]
Simplify the rational function.
[tex]\displaystyle f(a+2) = \frac{(3+2)+a}{a+(2-3)}[/tex]
[tex]\displaystyle f(a+2) = \frac{5+a}{a-1}[/tex]
The graph shows the relationship between the height of a tree and its age in years. What is the unit rate of growth for the tree? 0.25 feet per year 0.5 feet per year 2 feet per year 3 feet per year
Answer:
The unit rate is 2 feet per year
Step-by-step explanation:
The graph is missing (See attachment)
To determine the unit growth;
First, we have to pick any two corresponding on the x and y axis
When x = 5; y = 10
When x = 1; y = 2
These can be represented as;
[tex](x_1,y_1) = (5,10)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
Next, is to determine the slope using;
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{2 - 10}{1 - 5}[/tex]
[tex]m = \frac{-8}{-4}[/tex]
[tex]m = 2[/tex]
Hence, the unit rate is 2 feet per year
Answer:
the unit rate is 2ft per year i got 100% on a quiz for this
I litre = ? cubic centimeter
Answer:
1000 cubic centimeter
So this will be right and also an accurate answer
Answer:
1000 cm³Step-by-step explanation:
Just multiply the volume value by 1000.
tan(theta)=40/58 How do u solve? How do u isolate theta? show work plz!
Answer:
34.60°
Step-by-step explanation:
[tex] \tan \theta = \frac {40}{58}[/tex]
[tex] \tan \theta = 0.689655172[/tex]
[tex] \theta =\tan^{-1} 0.689655172[/tex]
[tex] \theta =34.592288671\degree [/tex]
[tex] \theta =34.60\degree [/tex]
Answer:
[tex]\Large \boxed{\theta = 34.59228868\°}[/tex]
Step-by-step explanation:
tan(θ) = 40/58
To isolate theta (unknown angle), we must take the inverse tangent of both the sides.
tan^-1(tan(θ)) = tan^-1(40/58)
The inverse tangent and tangent cancels.
Simplify the equation.
θ = tan^-1(20/29)
θ = 34.59228868°
PLEASE HELP!!!! offering 45 points with brainiest
Answer:
[tex]\huge\boxed{12 \ people}[/tex]
Step-by-step explanation:
By looking at the range of histogram , we come to know that:
People who walked for 0-2 hours = 5
People who walked for 2-4 hours = 17
People who walked for 4-6 hours = 12
People who walked for 6-8 hours = 9
People who walked for 8-10 hours = 3
Answer:
12 people
Step-by-step explanation:
We want to find the number of people between 4 and 6 hours
Reading the chart, the third bar is between 4 and 6 hours
12 people
Can you help me I am stuck on it
Answer:
-7 is less than or equal to 0
Step-by-step explanation:
range is looking at the correlation on the graph from left to right. At -7, there is a dot and at 0, there is a dot. The graph is not continuous, so that is the answer.
OMG OMG OMG PLEASE HELP!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
[tex]\frac{3-\sqrt{3} }{3+\sqrt{3} } *\frac{3-\sqrt{3} }{3-\sqrt{3} } \\\\=\frac{(3-\sqrt{3})^{2} }{(3+\sqrt{3} )(3-\sqrt{3} )} \\\\=\frac{9-2*3\sqrt{3}+3 }{9-3}\\\\=\frac{12-6\sqrt{3} }{6} \\\\=2-\sqrt{3}[/tex]
x/8-1/2=6
what does that make?
Answer:
x = 10Step-by-step explanation:
[tex]\frac x8-\frac12\ =\ 6\\\\{}\ \ \cdot8\qquad \cdot8\\\\x-4\ =\ 6\\\\{}\ +4\ \,\quad+4\\\\x\ =\ 10[/tex]
Solve for x.
5x - 4 = -3x+ 12
X = 2
X=6
X=-4
Answer:
x = 2
Step-by-step explanation:
Given
5x - 4 = - 3x + 12 ( add 3x to both sides )
8x - 4 = 12 ( add 4 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Help please
Arrange four 2's to produce 5
Answer:
See below
Step-by-step explanation:
Produce 5 using four 2's:
Solution 1
2*2 + 2/2 = 4 + 1 =5Solution 2
2+2 + 2/2 =4+ 1=5Solution 3
2² + 2/2 = 4 + 1 =5math ... answer meeee
You need to find the GCF (greatest common factor) of 45 and 90, which is 45.
45 times ? gets you 45
? would be 1
45 times 1 equals 45.
45 times ? gets you 90
? would be 2
45 times 2 equals 90
45(1+2) = 45+90 = 135
♡ Hope this helps! ♡
❀ 0ranges ❀
Answer:
45(1 + 2)
Step-by-step explanation:
To find the greatest common factor, we find the multiples of 45 and 90.
45: 1, 3, 5, 9, 15, 45
90: 1, 2, 3, 5, 6, 9, 15, 18, 45...
The easier way to do this is divide 90 by 2 to get our GCF, 45.
We place the 45 (GCF) in the first box and we place 1 and 2 in the parentheses because when you distribute, we get our original answer.
45(1 + 2)
20+3(7+4)+5+2(7+9)?????
Answer:
90
Step-by-step explanation:
Be sure to use PEMDAS. Begin with parentheses, the move to multiplication, then adding.
20 + 3(7 + 4) + 5 + 2(7+9)
20 + 3(11) + 5 + 2(16)
20 + 33 + 5 + 32
You can add those final four numbers in any order you want, to get a sum of 90.
Answer:
Your answer will be 90
Step-by-step explanation
First you will have to answer what's inside the parentheses
7 + 4 = 11 , 7 + 9 = 16
Then you multiply what is next to the parentheses
3×11 = 33, 2×16 = 32
Finally you will have to add
20 + 33 =53
53 + 5 =58
58 + 32 = 90
The point is doing PEMDAS
P=Parentheses
E= Exponent
M= Multiplication
D= Division
A= Addition
S= Subtraction
Write the equation of a line that passes a given point and has the given slope. Answer in standard form. 1. Point (-3,5), m = -7 2. Point (4,7), m = 0
Answer:
y -5 = -7(x +3)y = 7Step-by-step explanation:
The point-slope form of the equation can be used for this. It is generally written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
1. For m=-7, (h, k) = (-3, 5), the equation is ...
y -5 = -7(x +3)
__
2. For m=0, (h, k) = (4, 7), the equation is ...
y -7 = 0(x -4)
y = 7
_____
Comment on the form of the answer
Since a point and slope are given, "the equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...
y -7 = 0
Sometimes, "the equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...
y = -7x -16
There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.
A computer is programmed to combine 60,000 points of data in such a way that with each iteration, there are half as many data points as before. The number of data points after any number of iterations, x, can be modeled with the following function. [tex]f(x)= 60,000(1/2)^x[/tex]
Which statement compares the mathematical range and reasonable range of the function?
A. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
B. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
C. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
D. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
Answer:
D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than others equal to 60,000.
Step-by-step explanation:
The statement that compares the mathematical range and reasonable range of the function is the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144. The correct option is D.
What is a computer program?A computer program is a set of instructions written in a programming language that a computer can execute. The software contains computer programs as well as documentation and other intangible components.
A program, or software program, is a set of instructions that guides the hardware of a computer to complete a task.
Therefore, the correct option is D, The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
To learn more about computer programs, refer to the link:
https://brainly.com/question/14618533
#SPJ2
The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
Answer:
The car reaches a stop after 8.75 seconds have passed.
Step-by-step explanation:
Keisha spent a total of $52 at the grocery store. Of this amount, she spent $39 on fruit. What percentage of the total did she spend on fruit?
Answer:
75%
Step-by-step explanation:
Percentage of total spent on fruit = (39/52)×100%
= 0.75×100%
= 75%
What is the answer?
5 students participated in a push-up competition.
The amount of push-ups each student completed is listed: 12, 7, 10, 11,5
What was the mean number of push-ups?
Answer: 9
Step-by-step explanation:
Formula : Mean = [tex]\dfrac{\text{Sum of observations}}{\text{Number of observaions}}[/tex]
Given: 5 students participated in a push-up competition.
The amount of push-ups each student completed is listed: 12, 7, 10, 11,5.
Mean = [tex]\dfrac{12+7+10+77+5}{5}[/tex]
[tex]=\dfrac{45}{5}=9[/tex]
Hence, the mean number of push-ups = 9
If you're good at math i'd love some help :)
Answer:
x = 10 x = -2
Step-by-step explanation:
(x-4)^2 -28 = 8
This is a parabola on the left and a constant line on the right. The parabola will cross the line twice, so there will be two solutions
see attached
Add 28 to each side
(x-4)^2 -28+28 = 8+28
(x-4)^2 = 36
Take the square root of each side
sqrt((x-4)^2) = ±sqrt(36)
x-4 = = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
Answer:
x = 10, and x = - 2
Step-by-step explanation:
This equation has two solutions, as it resembles a quadratic equation. When graphed it will be a parabola, and hence intersects the x - intercept at two points, giving us two solutions.
Let's start by expanding the equation,
(x - 4)² - 28 = 8,
(x - 4)² = 28 + 8,
(x - 4)² = 36,
x - 4 = √36, and x - 4 = - √36
x - 4 = 6, and x - 4 = - 6
Solution(s) : x = 10, and x = - 2
Anna was driving east on a freeway at a constant velocity. She was 570 kilometers west of
her exit. In 2 hours, she drove one-third of the way to her exit. What was her velocity?
Answer:
Her velocity is 95 km/hour
Step-by-step explanation:
The given information includes;
The direction to which Anna was driving = Eastward
Her initial location on the journey = 570 kilometres west of her her exit
The distance she drove in 2 hours = 1/3 of the way to her exit
Therefore, the distance she drove in 2 hours = 1/3×570 = 190 m
Her velocity = Her distance covered/(The time it take to cover the distance)
Which gives;
Her velocity = (190 km)/(2 hours) = 95 km/hour
Her velocity = 95 km/hour.
Write down the value of the digit 5 in 75389 write your answer in words.
Answer:
It's very easy mate!
Step-by-step explanation:
Ninty eight thousand seven hundred fifty three
that is 98753 in no.s
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{98753 }[/tex]
In word form = Ninety eight thousand seven hundred fifty three
In Number form.= 98753
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Evaluate the function.
[tex]f(x) = - x^{2} - 7x - 5[/tex]
Find
[tex]f( - 5)[/tex]
===================================================
Explanation:
Everywhere you see an x, replace it with -5. Then use the order of operations PEMDAS to simplify
[tex]f(x) = -x^2 - 7x - 5\\\\f(-5) = -(-5)^2 - 7(-5) - 5\\\\f(-5) = -(25) - 7(-5) - 5\\\\f(-5) = -25 + 35 - 5\\\\f(-5) = 10 - 5\\\\f(-5) = 5\\\\[/tex]
Keep in mind that for the x^2 term, you are squaring all of x = -5, which includes the negative as well. So that means
x^2 = (-5)^2 = (-5)*(-5) = 25
but sticking a negative out front makes
-x^2 = -(-5)^2 = -25
Solve n/3 = 16
Please help :)
Step-by-step explanation:
To solve for n, we need to isolate the variable n.
Multiply both sides of the equation by 3 to cancel out the 3 on the left side, and multiply 3 by 16 to get our final answer.
[tex]\frac{n}{3}*3=n\\16*3=48[/tex]
Our final answer: n = 48
What is X I need help i dont know how to do this
Answer:
x = 75
Step-by-step explanation:
Triangle BDH
The angle must add to 180 degrees
36+ 39 + DHB = 180
75 + DHB = 180
DBH = 180-75
DHB = 105
DBH + x = 180 since it is a straight line
105+ x = 180
x = 75
18 divided by 3-7+2x5
Please help!!!
Equivalent expressions are expressions that have the same values.
The result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9
The expression is represented as:
[tex]\frac{18}{3} - 7 + 2 \times 5[/tex]
Using BODMAS, we start by dividing 18 by 3
[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 2 \times 5[/tex]
Evaluate the products of 2 and 5
[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 10[/tex]
Evaluate the sum of -7 and 10
[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 + 3[/tex]
Evaluate the sum of 6 and 3
[tex]\frac{18}{3} - 7 + 2 \times 5 = 9[/tex]
Hence, the result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9
Read more about equivalent expressions at:
https://brainly.com/question/2972832
can someone help me out
Answer:
its an INTEGER , a RATIONAL NUMBER and a REAL NUMBER
all are correct
hope it helps (✷‿✷)