draw two intersecting line segment AB and CD intersecting O. Measure the size of each pair of vertically opposite angles. Verify each pair of vertically opposite angles are equal.
Answers
When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.
A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.
From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.
From the attached diagram, it can be observed that;
m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]
But;
m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)
also,
m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)
Therefore it can be verified that each pair of vertically opposite angles are equal.
NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.
For more information, visit: https://brainly.com/question/68367
Related Questions
** SOMEBOBY HELP ME**
Answers
Answer:
Step-by-step explanation:
If these were similar, then the ratio 35/18 (the top and bottom measures from each of the polygons) would have to equal the ratio 63/10 (the side measures from each of the polygons).
35/18 = 1.944444
63/10 = 6.3
They are not similar because the simplified ratios are not the same.
what is the exponents
Answers
For Example, In 8² , the 2 is the number of times 8 has to be multiplied. In this case It has to multiplied by itself 2 times, 8x8 = 64 so 8² = 64.
Another example is 9³ since the number above is 3 we have to multiply 9 three times, 9x9x9 = 729 which means 9³ = 729.
Hope this helps
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4 and dc =2 what is the length of ad
Answers
Question is slightly wrong .We have to find BD
AD=4CD=2we know
[tex]\boxed{\sf BD^2=AD\times DC}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD^2=4\times 2[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD^2=8[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=\sqrt{8}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2√2[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2(1.4)[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2.8[/tex]
Find the missing segment in the image below
Answers
Answer:
15/5=?/8
Step-by-step explanation:
3=?/8 ?=24 it can help you
Parallel to the line y=-4x-1 and through the origin.
Answers
Answer:
y=-4x
Step-by-step explanation:
Parallel to the line, slope is - 4. The equation of line is y=-4x
determine the equation of a parallel line to x=5
Answers
Answer:
x = constant ( other than 5)
Step-by-step explanation:
The slope of a line x=5 is undefined
Parallel lines have the same slope
So any line that is vertical ( slope undefined) will be parallel
Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was higher than Jan's score and higher than Maxim's score. What could be peters least possible score?
Answers
Answer:
91
Step-by-step explanation:
P>J and P>M
269 -> split into 3 parts
Approx is 90
IF Peter's score is 90, then the other 2 scores could be 90 and 89
+ 1 to Peter's score
Hence Peter's least possible score could be 91.
Jeff reads 5/7 of a book in 4 hours. At this rate, how much did he read in 1 hour? Please answer this correctly. Don't put a link i will report you.
Answers
Answer:
Jeff read 5/28 of a book in 1 hour.
Step-by-step explanation:
The rate given is 5/7 of a book read in 4 hours.
If the questions asks how much he read in 1 hour, it means the answer needed is a unit rate.
A unit rate is a rate per unit. In this case, a rate per hour.
Let’s find how much Jeff read in 1 hour:
5/7 in 4 hours is the rate given so:
5/7 ÷ 4
= 5/7 x 1/4
= 5/28 (already simplified/final answer)
SO, Jeff read 5/28 of the book in 1 hour.
Brainliest? Hope this helped!
Roberto watched 5 more hours of tv than Jamie last week. Together, they watched a total of 23 hours of tv last week. How many hours did Roberto watch
Answers
Answer: 14 hours
Step-by-step explanation:
Let the number of hours of TV that Jamie watched be represented by x.
Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5
Together, they watched a total of 23 hours of tv last week. Therefore,
x + (x + 5) = 23
2x + 5 = 23
2x = 23 - 5
2x = 18
x = 18/2
x = 9
Jamie watched 9 hours of TV
Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours
find the measure of the indicated angle to the nearest degree
Answers
Answer:
39.401
Step-by-step explanation:
A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?
Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct
Answers
Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
please hurry!!
What is the equation, in point-slope form, of the line that
is parallel to the
given line and passes through the point
- 1, - 1)?
Answers
Answer:
y + 1 = 2(x+1)
Step-by-step explanation:
hope this helps
School is stressful.
Also, I don't know what I am supposed to put in this text box.
Answers
Answer: A) 4
Explanation:
For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.
The short leg is opposite the smallest angle (30 degrees), so we see that
x = 8/2 = 4.
In the given figure, if AOB is a straight line, then ∠BOC is
Answers
Answer:
acute angle.
Step-by-step explanation:
because it is 60 degree
Nếu AOB là một đường thẳng thì góc BOC =90°
what is the GCF of 18 and 36
Answers
Answer: 18
Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18
Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36
Hope that helps
Answer:
18
Step-by-step explanation:
listing the factors
factors of 18 are 1, 2, 3, 6, 9, 18
factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are 1, 2, 3, 6, 9, 18
with GCF being 18
Number 13 I don’t get it
Answers
===========================================
Explanation:
The two equations given to us are
ab = 3ab^2 = 18Divide the second equation over the first equation and that would lead to b = 6
Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.
The b terms divide to (b^2)/b = b
The right hand side values divide to 18/3 = 6
So that's how we end up with b = 6
-------------------------
Now if b = 6, then we can say,
ab = 3
a*6 = 3
a = 3/6
a = 1/2
Or we could say
ab^2 = 18
a*6^2 = 18
a*36 = 18
a = 18/36
a = 1/2
Using the equation y = 30x + 45, if you have a budget of 300 dollars for this job, what are the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
Answers
Answer:
8 hours
Step-by-step explanation:
y = 30x + 45
Assuming x is the hours and y is the cost
300 = 30x +45
Subtract 45 from each side
300-45 = 30x+45-45
225 = 30x
Divide by 30
225/30 = 30x/30
17/2 = x
8.5 =x
The largest number of hours without going over means round down
8 hours
Select THREE expressions that are equivalent to -16x - 68.
A. -4(4x - 17)
B. -2(8x + 34)
C. 2( - 8x - 34)
D. 4( - 4x - 17)
E. 8( - 2x - 8)
got it wrong the first time :(
Answers
Answer:
b, c, d
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answers
Is the equation below written in standard form? If not, select which explanation best applies to why the equation
is not written in standard form.
12 = 2x + 4y
A. the requirement that A 20 is not satisfied
B. the requirement that A and B are not both zero is not satisfied
C. A, B, and C do not have a greatest common factor of 1
D. the equation is written in standard form
Answers
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers
12 = 2x + 4y , that is
2x + 4y = 12 ← is in standard form
What is the measure of ABC in the figure below?
Answers
find the missing side of triangle
Answers
Using Pythagoras Theorem
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{H^2-P^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{29^2-21^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{841-441}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{400}[/tex]
[tex]\\ \sf\longmapsto B=20[/tex]
Can someone explain this
Answers
Answer:
x=30/tan(22)
x= 74.2526056
Step-by-step explanation:
Find the value of 9x + 4y, when x = 4 and y = -3.
Answers
Answer:
hope found the answers bye.
Step-by-step explanation:
9x + 4y - 4 = 0
Putting in the x-value of -1, we get:
9(-1) + 4y - 4 = 0
Simplifying:
-9 + 4y - 4 = 0
Combining the -9 and the -4:
4y - 13 = 0
Getting rid of the -13 by adding 13 to both sides:
4y - 13 + 13 = 0 + 13
4y = 13
Dividing both sides by 4:
y = 13/4
Checking: Is 9(-1) +4(13/4) -4 really zero? Yes!
9x4+4x-3
36+-12=24
answer=24
find the area of a triangle with a base of 12 ft and a height of 2ft
Answers
Answer:
1/2×2×12=12 feet
Step-by-step explanation:
1/2× base area × height
Cho đa thức f(x) = biết rằng f(1)=f(-1); f(2)=f(-2).
Chọn câu đúng :
A. f ( x ) = f ( −x) với mọi x
B. f ( x ) = − f ( −x) với mọi x
C. f ( x ) = 2 f ( −x) với mọi x
D. f ( x ) = 3 f ( −x) với mọi x
Answers
Answer:
A
Giải thích:
f(1)=f(x)
f(-1) và f(-2)= f(-x)
=> f(1)=f(-1) =A. f(x)=f(-x)
Hey can anyone help me pls
Answers
Answer:
6.8=6 8/5
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hope it help
if line 4x+ky=11 and line y=8x-3 are parallel find the value of k
pls help me asap thank you step by step please!!
Answers
Answer:
k=-1/2
Step-by-step explanation:
u have to change line 4x + ky=11 to this form:
y=11/k-4x/k
then, if 2 lines are parallel, their slopes have to equal
so: 8=-4/k -> k=-1/2
pls help
the domain is:
*all real numbers
*all real numbers greater than or equal to -2
*{x: x=-2,-1,0,1,2}
*{y: y=-2,-1,0,1,2}
the range is:
*all real numbers
*all real numbers greater than or equal to -2
*{x: x=-2,-1,0,1,2}
*{y: y=-2,-1,1,2}
Answers
Answer:
domain is ask real numbers
range is all real numbers greater than our equal to -2
Step-by-step explanation:
the domain is the value interval for the input variable (usually x).
the range is the value interval for the result variable (usually y).
so, the domain is all possible x values (all real numbers).
every number you can think of for x will have an y result.
and the range is all possible y values (all real numbers) greater than our equal to -2.
there will be no result y values smaller/ lower than -2.
Find the value of x. Round
the nearest tenth.
Answers
Step-by-step explanation:
here's the answer to your question
