In the figure below, lines and k are parallel
M21 = m28
m23 = m25
1/2
3/4
26 = m27
19
m24+ m26 = 180°
10
5/6
7/8
→K
m25+ m2g + m2 10 = 180°
Select all the equations that must be true.
180°
27 = m29 + m2 10
Answers
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The true statements of the angles of the parallel lines are
a) m∠1 = m∠8
b) m∠6 = m∠7
c) m∠4 + m∠6 = 180°
d) 180° - m∠7 = m∠9 + m∠10
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The true statements are
a) m∠1 = m∠8 ( alternate exterior angles )
b) m∠6 = m∠7 ( vertically opposite angles )
c) m∠4 + m∠6 = 180° ( co-interior angles are supplementary )
d) 180° - m∠7 = m∠9 + m∠10 ( triangle exterior angle theorem )
Hence , the angles of the parallel lines are solved
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Answer:
1. [tex]4\sqrt{5}[/tex]
2. [tex]10\sqrt{10}[/tex]
Step-by-step explanation:
When you multiply radicals, you do the following
[tex]a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}[/tex]
with that in mind
1.
[tex]\sqrt{16}\cdot \sqrt{5}[/tex]
here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4
[tex]=4\sqrt{5}[/tex]
2.
[tex]\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}[/tex]
*4. What is (2.0 x 10-1)3 in
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A 2.0 x 10 -3
1
B 2.0 X 1/10 3
C 8.0 X 1/103
D 8.0 x 10 -3
Answers
Answer:
D
Step-by-step explanation:
Need help w this due today
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Answer:
Step-by-step explanation:
you have a right triangle,
a^2+b^2=c^2
10^2=4^2+b^2
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Find an expression, in it's simplest form, for the perimeter of this hexagon.
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Answer:20
Step-by-step explanation:
Charles has 82 stamps altogether. He has 24 more local stamps than foreign stamps.
How many local stamps does he have?
Answers
Answer:
82-24=48
Step-by-step explanation:
How many solutions exist for the given equation 12x + 1 = 3(4x + 1) -2
Answers
Answer:
All real numbers are solutions (hope that helps)
Step-by-step explanation:
12x+1=3(4x+1)−2
Step 1: Simplify both sides of the equation.
12x+1=3(4x+1)−2
12x+1=(3)(4x)+(3)(1)+−2(Distribute)
12x+1=12x+3+−2
12x+1=(12x)+(3+−2)(Combine Like Terms)
12x+1=12x+1
12x+1=12x+1
Step 2: Subtract 12x from both sides.
12x+1−12x=12x+1−12x
1=1
Step 3: Subtract 1 from both sides.
1−1=1−1
0=0
y=-11x+5. help what is the slope
Answers
Answer:
this is the slope:
Step-by-step explanation:
m=-11
The perimeter of a rectangular meadow is 1004 m. What
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Answers
Answer:
hope it works for u
Step-by-step explanation:
Given the length of the rectangle = l
the breadth of the rectangle = b
perimeter of the rectangle = sum of length of all sides of the rectangle
= l+ b+ l+ b
=2 l+2 b
=2( l+ b)
∴ perimeter of the rectangle =2( l+ b)
as given perimeter = 1004 m
hence ,
2(l+ b)= 1004
(l+ b)=1004/2 = 502 m
l+ b=502 mplease help due asap jdbhdbdbd
Answers
Answer:
b
Step-by-step explanation:
Answer: b
Step-by-step explanation:
180°-116°=64°
Based on the scatterplot, which is the best prediction
of the number of gallons of water used by this
business when the cost of water is $180?
Answers
Answer:
90,000
Step-by-step explanation:
As per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
Here,
According to the question, the maximum limit shown on the scatterplot is $180 for 90 units on the scatterplot,
Where horizontal units are represented as the scale of 1 unit = 1000 units.
So for the maximum.
For the cost of $180 the gallons of water used is 90×1000.
Thus, as per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.
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I WILL GOVE BRAINLIEST!!!
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Answer:
First of all make me as branlist answer then I will surely send it
can someone help me with these 3 questions please!!
1. Use greatest common factor and the distributive property to write an equivalent
expression in factored form.
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2. Use greatest common factor and the distributive property to write an equivalent
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3. Use greatest common factor and the distributive property to write an equivalent
expression in factored form.
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Answer:
..
Step-by-step explanation:
inverse of g(x) = x^2+1
Answers
To find the inverse, interchange the variables and solve for y
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it says I have 4 cups of white paint for 3 cups of red paint? what is the equivalent for 1 cup of red paint in white paint?
Answers
Answer:
1 cup of red paint = 4/3 or 1 1/3 cups of white paint
plz answer only if correct :))
(this is trig.ratios) in
Answers
Answer:
39
Step-by-step explanation:
Since you want to find the variable x all you have to do is simple subtraction.
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bye
Simplify:
4
(1934)
O
A.
Xy3216
B.
x93,8
O c. x7,12,16
D.
2778
Answers
first three terms of a sequence are given. Round to the nearest thousand (if necessary) 152,149,146... Find the 30th term
Answers
Answer:
65
Step-by-step explanation:
use the following equation
aₙ=a₁+(n-1)d
Where d is the common difference
n is the term
a₁ is the first term
the common difference is -3 (149-152)
this means we have
152+(30-1)*-3
Compute this and get
65
What is the equivalent division statement to 63 x 1/9
Answers
Answer:
7
Step-by-step explanation:
63x1/9
Hope that helps
Have a good day
The dimensions of a rectangle are given in terms of S as shown below or above.
Q. Which expression represents the perimeter of the rectangle? Mark all that apply.
Answers
Answer:
A and D
Step-by-step explanation:
It should be Sx2 + 2(S+ 1/2)
Which is equal to 4s+1
and 2(2s + 1/2) is equal to 4s+1 as well
i need help i don’t know how to solve this:D
10x - 5x + 2
Answers
Answer:
5x + 2
Explanation:
10x - 5x + 2Add Similar Elements10x - 5x = 5x
5x + 2- PNW
Maddie swims the hundred meter freestyle in 30 seconds what is her average speed in meters per minute
Answers
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Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:
100 meters/ .5 minutes = x meters / 1 minute
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then, we simplify by dividing each side by .5 which equals
200=x
the taxi fare in a city is as follows: for the first kilometre, the fare is rupee 8 and for the subsequent distance it is rupee 5 per km. taking the distance covered as x km and total fare as rupee y, write a linear equation for this information, and draw its graph
Answers
Answer:
The linear equation is Y=5x+8 where x>0
(you can input this into the Desmos graphing calculator to see the graph if you like!)
Step-by-step explanation:
To get the answer is fairly straight forward. If we know that distance covered is x in the equation and we know that a linear equation follows the template Y=mX+b where m is slope and b is the y-intercept. The first step is to fill in what we know. That would look as such Y=_X+_. We can then attempt to fill in the blanks for m and b. Because we know that it is 5 rupees extra per subsequent kilometre we can put 5 as the multiplier for x and there is our m or slope. We now have Y=5x+_. Now for b. B in this case is quite simple as is showing us where the start of the graph is. It is stated that there is a flat fee of 8 rupees, so the total can never be less than 8. Because b is simply where the line intercepts the y axis, and we want it to intercept at 8, we can just put a plus 8. And there you have it Y=5x+8. One important note is that the graph when drawn should be a ray extending from point (0,8). This is because we want to eliminate all of the areas on the plane that would make the fare negative, as we could not have a negative cab fare. This is as simple as plotting the line starting from point (0,8) on the y axis. Happy to help!
a
\large 140\frac{1}{2}
b
\large 140\frac{1}{3}
c
\large 141
d
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Find the perimeter of an isosceles triangle. base edge = 23cm and vertex angle = 42°
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HELP!!! 25 POINTE AND BRAINLIEST!! a local cafe sells 7,200 cold beverages in the month of july. over the next six months, the number of cold beverages decreases at an average rate of 750 cups per month. During the same time frame, the number of hot beverages sold is represented by the equation y=900x + 3,300 where the number of hot beverages, y, is a function of x, the number of months after july.
A. what is the rate of change of cold beverages sold per month? hot beverages?
B. which rate of change is greater? what does it mean?
Answers
Answer: a. The rate of change of cold beverages: -750 cups/month
The rate of change of hot beverages: 900 cups/month
b. The rate of change of hot beverages is greater (900 > -750). It means that the number of hot beverages sold increases at a rate of 900 cups every month.
Step-by-step explanation:
a. The question says that "the number of cold beverages decreases at an average rate of 750 cups per month". This indicates that the rate of change of cold beverages is -750 cups/month. Why negative? Remember that it decreases, not increases.
Then let's look at the equation given for the sale of hot beverages:
y=900x + 3,300
The slope of the equation is 900, which is also the rate of change. So the rate of change of hot beverages is 900
So far, Phillip has completed 3/4 of his run. If he has run 9 miles, how far does he plan to run
Answers
Answer:
He has to run a total of 12 miles and has 3 more miles to run
Step-by-step explanation:
Well we know that 3/4 is 9 out of the total miles he is willing to run. We can divide 9 by 3 to get 1
Now we know 1/4 of his run is 3 miles
3*4= 12
He has to run a total of 12 miles and has 3 more miles to run
Answer:
He plans to run 12 miles
Step-by-step explanation:
He plans to run 12 miles because if he ran 9 miles so far and that is 3/4 of his way then you would do 3 divided by 9 to get 3. Then you would add a 3 to nine because that 3 would be the last quarter t complete his run.
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answers
Answer:
33cm^2
Step-by-step explanation:
Add the areas of the individual shapes so one rectangle and a square.
4*2 + 5*5 > 8 + 25 = 33
Answer:
31 cm²
Step-by-step explanation:
The area of the large figure is the sum of the areas of the smaller rectangles, the 4 cm x 2 cm one and the 5 cm x 5 cm one.
Area of the 4 x 2: 4 x 2 = 8 cm²
Area of the 5 x 5: 5 x 5 = 25 cm²
Sum of the two: 8 cm² + 25 cm² = 31 cm²
Can someone help me !!!
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Answer: 35, 63
Step-by-step explanation: sorry if wrong
Solve the following inequality algebraically, 5|x + 5| + 7 => 22
Answers
Answer:
x≥−2 or x≤−8
Step-by-step explanation:
.
Answer:
x1 = -8
x2 = -2
Step-by-step explanation: