Draw two intersecting line segment AB and CD intersecting at O. Measure the size of each pair of vertically opposite angles. Verify that each pair of vertically opposite angles are equal.
Answers
Answer:
Angles vertically opposite to each other are equal.
Step-by-step explanation:
There are two lines AB and CD intersecting at point O making angles 1 ,2,3 and 4.
The angles 1 and3 , angles 2 and 4 are vertically opposite angles.
Now consider the line AB
<1 + <2= 180 degrees--------- eq A
Now consider the line CD
<2+ <3= 180 degrees-----------eq B
As both equations are equal
< 1+ <2= <2+ <3 = 180 degrees
or
< 1+ <2= <2+ <3 or
< 1= <3 subtracting <2 from both sides
Now consider the line BA
<3+ <4= 180 degrees--------- eq C
Now consider the line DC
<4+ <1= 180 degrees-----------eq D
As both equations are equal
< 3+ <4= <4+ <1 = 180 degrees
or
< 3+ <4= <4+ <1
or
< 3= <1 subtracting <4 from both sides
This holds true for all vertically opposite angles that they are equal.
These can be measured with a protractor.
This can also be proved that if we add angles 1,2,3 and 4 we will get 360
and if we subtract angles 1 & 2 from 360 we will get 180 degrees which angles 3&4 make together.
<1+<2+<3+<4= 360 degrees
But <1 +<2= 180
360 - [ <1+<2] = 180 degrees
<3 +<4= 180
<1 +<2= <3 +<4= 180
Related Questions
On Tuesday, Babajan makes 300 grams of breakfast cereal.
500 grams of nuts cost £8.
Work out the cost of the nuts used to make 300 g of the breakfast cereal.
Answers
Answer:4tb 4 tb 5yb 5 b b evy bn trh n 4e
Step-by-step explanation:w b wgb grb wrbth de nhe mj
Hey you ‼️ yeah I unfortunately need your help again these are hard:(
Answers
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Which triangle is congruent to PQR?
A. aSTU
B. aJKL
C. aDEF
D. none
PLEASE HELP!!
Answers
need help which one is it
a)x=7
b)x=12
c)x=20
Answers
- you can use the pythagorean theorem for this.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
- square root this.
c = 20
therefore, x = 20.
so option C.
Answer:
c. X = 20
Step-by-step explanation:
Pythagoras theorem
a² + b² = c²
12² = 144
16² = 256
144 + 256 = 400
√400 = 20
What is the slope of a line that is perpendicular to the line y = -1/4 -1
Answers
The slope here is “4”
Mrs. Ciampa had 27 students last lear and this year she had 30 students in her math class. what is the percent of change.
Answers
Answer:
20%
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! REALLLLLLLLLLLY EASY! i'm either dum.b, st.upid, or dum.b
Answers
9514 1404 393
Answer:
y^6
Step-by-step explanation:
It can help to remember that an exponent is simply an indicator of repeated multiplication. Common factors cancel from numerator and denominator.
[tex]\dfrac{y^7}{y}=\dfrac{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}{y}=y\cdot y\cdot y\cdot y\cdot y\cdot y=\boxed{y^6}[/tex]
_____
Written as a rule of exponents, this is ...
(a^b)/(a^c) = a^(b-c)
Of course, a = a^1.
need help please also watch Attack on Titan
Levi
Answers
Answer:
B.
Step-by-step explanation:
The sets represented is {50,70,70,75,75,95,95,100}
The Kid Laroi
Answer:
The answer is B
Step-by-step explanation:
Levi is mine
What dose No mean in math
Answers
Answer:
Nobelium
Step-by-step explanation:
That looks like a chemistry element unless No is meaning the abbreviation No. - Meaning, number.
The distance around a garden is 745 yards long. One brick is 15 yard in length. How many bricks are needed to go around the garden?
A.
11425
B.
735
C.
35
D.
39
Answers
Answer:
49
Step-by-step explanation:
745 / 15 = 49
not 39, 49
The area of the rectangle is 27 square feet. Choose the equation you can use to find the value of x. A rectangle. The length is x feet and the width is 3 feet. $3x=27$ $2x+6=48$ $27x=3$
Answers
Answer:
3x = 27
Step-by-step explanation:
Since the area of a rectangle, A = lw where l = length = x and w = width = 3 feet. So, A = 3x. Since A = 27 square feet, 27 = 3x.
So, the required equation is 3x = 27
Alright, I need help PLEASE !!
I am having a hard time solving Radical Equation
does anyone have an easy step by step explanation
I will give Brainlest :) !!!!!!!!!!!!!!!
Answers
A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches
24 square inches
72 square inches
48 square inches
Answers
Answer:
yes it is
Step-by-step explanation:
how do I find the missing length?
Answers
Answer:
4+8+12
Step-by-step explanation:
Answer:
if the top is twelve and part of the bottom is 4 12-4=8 the missing part is 8
25 POINTS. Radar used microwaved yo check the speed of cars. If a speed of the microwaves is 2 000 000 m/ s and the wavelength is 0.0345m calculate the frequency.
Answers
Answer:
57971014.49 Hz or 5.79 * 10^7 Hz
Step-by-step explanation:
Given that:
Speed of microwave (v) = 2,000,000 m/s
Wavelength, λ = 0.0345 m
Frequency :?
Using the relation :
v = fλ
f = v / λ
f = 2,000,000 / 0.0345
f = 57971014.49 Hz
hhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeelllllllllllllllllp
Answers
Answer:
55
Step-by-step explanation:10 percent of 50 is 5 +50 equals 55
Answer:
$55
Step-by-step explanation:
Find how much is 10% of 50 which is 5 and add it to the cost to store.
Expand 5a +2 (3a + 3b)
Answers
Answer:
Step-by-step explanation:
we will do:
5a+2*3a+2*3b=
=5a+6a+6b=11a+6b
Find the solution to the inequality 10-x>2
Answers
Answer:
x < 8 hope that helps pls lmk
(1,5) (-2,-2) slope?? help im dum
Answers
Answer:
Slope is 7/3
Step-by-step explanation:
Answer:
Dora cant find her car plss help
Step-by-step explanation:
PLs tell dora if u found her car
Xavier walked 8 miles in 5 hours. What was his walking rate in miles per hour?
Answers
Answer:
0.6 miles per hours per hour
Step-by-step explanation:
Simply divide 5 by 8
your answer: 0.6 miles per hour.
NEED HELP ASAP PLZZZZ
Marcus has a part-time job at the water park. He makes between $73.99 and $79.25 a day. Which is a reasonable amount of money that Marcus makes for working 5 days a week for 9 weeks?
A.
$3,613
B.
$3,421
C.
$351
D.
$3,278
Answers
Answer
b
highest he should make is 3599.55 and lowest is 3332.55 so a doesnt fit and b does
HELP ASAP
What is the scale factor?
Answers
Answer:
Step-by-step explanation: this should help
What types of bees live in a hive?
you are now a fiftynaire
Answers
Answer:
the queen, the workers, and the drones. :)
3) Consider the system of equations shown below.
y=-5x+1
y=-5x+ 10
How Many solutions does this system have?
a) Six solutions
b) One solution
c) Infinite solutions
d) No Solution
I
Answers
Answer:
no solution
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its historical average. which list shows water levels in order highest to lowest. :
A 0.38 0.7 0.09 -0.41 -0.6
B 0.7 0.38 0.09 -0.6 -0.41
C 0.38 0.09 0.7 -0.6 -0.41
D 0.7 0.38 0.09 -0.41 -0.6
Answers
Answer:
0.7, 0.38,0.09, -0.41, -0.6 (A)
Step-by-step explanation:
It makes sense
brainliest if answered correctly! Please help
Find the scale factor if point
A (4,-2) is dilated to be
point A (1, -3)
Answers
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?
18 units³
45 units³
80 units³
150 units³
Answers
Answer:
V=150
l Length
10
w Width
5
h Height
3
Step-by-step explanation:
hope im right!
Answer:
It is 150!
Step-by-step explanation:
Took the test!
Please mark as brainliest!
-KanaKittyKat
Add the following term
2x^7 + 3x^7 =
Answers
Answer:
5x^7
Step-by-step explanation:
Chick Hicks buys 20 car stickers for $760. If every sticker costs the same price, how much would it cost for 5 stickers?
Answers
Answer:
$190
Step-by-step explanation:
Step one:
Given data
Chick Hicks buys 20 car stickers for $760.
let us find the cost of one sticker
cost of one sticker= 760/20
cost of one sticker=$38
Step two:
if 1 sticker cost $38
5 stickers will cost x
cross multiply
x= 5*38
x= $190
identify the terms, coefficient, variable,and constant a² + 2 + 7b
Answers
Answer:
variable is letter
Step-by-step explanation:
The terms is a^2, 2, 7b
The Coefficient is 7
The variable is a, b
The constant is 2
