Two angles which are on opposite sides of the transversal and between the parallel lines and do not share the same vertex. They are congruent.
Answers
Answer:
Interior angles are congruent.
Step-by-step explanation:
We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.
Angles 3,6 are opposite and do not share the same vertex.
Similarly angles 4 and 5 do not share the same vertex.
They are congruent.
If we look closely we see that angles 3 &4 and angles 5&6 are supplementary angles.
i.e they together make up the 180 degrees on the straight line.
On the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles
which also make supplementary angles on the parallel lines.
From the diagram we see that
∠ 5= ∠7
and
∠6 = ∠ 8
as the corresponding angles are equal
∠8=∠3
∠7=∠4
As they are opposite angles
Similarly
∠1=∠6
∠2=∠5 ( opposite angles)
From above
∠5=∠7
but ∠7= ∠4
therefore
∠ 5= ∠4-----------------A
Also
∠6 = ∠ 8
but ∠8=∠3
therefore
∠6=∠8----------------------B
From An and B we conclude interior angles are congruent
Related Questions
A candle burns down at the rate of 0.75 inches per hour. The original height of the candle was 9 inches. Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points) Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points) Part C: If the rate at which the candle burned was 0.5 inches per hour instead of 0.75 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answers
Answer:
Ik the question is old and ik its 15 sorry Im late
Step-by-step explanation:
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?
84 + 2z = 180
84 + 2z = 180
42 + z = 180
42 + z = 180
84 + z = 180
84 + z = 180
42 + 2z = 180
Answers
Answer:
84 +z= 180
Step-by-step explanation:
Bases of an isosceles ∆ are equal so 42+42= 84
1
2
3
45
6
7
8.
9
10
Ronald spent $134.15 on school clothes. He counted his money and discovered that he had $33.85
left. How much money did he originally have?
Enter an equation, using m as your variable, to find how much money he originally had. Then solve
the equation
An equation is
Ronald originally had s
Answers
Hello!
So, using simple equation format, an equation could be:
$134.15 + $33.85 = m
Now we have to add the products.
134.15
+ 33.85
__________
168
Originally, Ronald had $168.
waffletowne
name the property illustrated. 6 + (4+9) = (6 + 4) + 9
Answers
Answer:
associative property
Step-by-step explanation:
happy to help :)
Answer:
Associative Property
Step-by-step explanation:
The property says you can regroup the three numbers being added.
(a + b) + c = a + (b + c)
Either add a and b first, then add c, ...
or, add b and c first, then add that result to a.
Match the function with the graph.
Pls help!
Answers
Answer:
C.
Step-by-step explanation:
find the area of the figure. pi = 3.14 :) THANKS
Answers
Step-by-step explanation:
[tex]57.12 {m}^{2} [/tex]
is the area of given figure
Answer:
A = 132.48 m²Step-by-step explanation:
The area of the figure is a sum of area of a rectangle 4 m × 8 m and a half of area of a circle with radius of 4 m.
A = 4×8 + 0.5×π×4² = 32 + 32π ≈ 32 + 32×3,14 = 132.48 m²
i need help with this please
Answers
Answer:
x = 24°
Step-by-step explanation:
here's your solution
=> measure of angle 1 = (6x)°
=> measure of angle 2 = (x + 12)°
=> we know that The sum of angles on a straight line is equal to 180°
=> so, (6x)° + (x + 12°) = 180°
=> 7x + 12° = 180°
=> 7x = 180° - 12°
=> 7x = 168°
=> x = 168°/7
=> x = 24°
=> angle 1 = 24°×6 = 144°
=> angle 2 = 24° + 12 = 36°
hope it helps 【◆◆】
Answer:
∠ 1 = 144°, ∠ 2 = 36°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and sum to 180° , that is
6x + x + 12 = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = 6x = 6(24) = 144°
∠ 2 = x + 12 = 24 + 6 = 36°
[tex]e^{4x-5} -7 = 11, 243[/tex]
Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
Answers
Answer:
x = 3.58Step-by-step explanation:
[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)Answer:
x = 3.58 (2 d.p.)
Step-by-step explanation:
Given equation:
[tex]e^{4x-5}-7=11243[/tex]
Add 7 to both sides:
[tex]\implies e^{4x-5}-7+7=11243+7[/tex]
[tex]\implies e^{4x-5}=11250[/tex]
Take natural logs of both sides:
[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies (4x-5)\ln e=\ln 11250[/tex]
As ln(e) = 1:
[tex]\implies 4x-5=\ln 11250[/tex]
Add 5 to both sides:
[tex]\implies 4x-5+5=\ln(11250)+5[/tex]
[tex]\implies 4x=\ln(11250)+5[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]
[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]
Using a calculator:
[tex]\implies x=3.582030852...[/tex]
Therefore:
[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]
Learn more about log laws here:
https://brainly.com/question/28016999
https://brainly.com/question/27977096
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
A
C
D
Question 8
A
B
D
Someone help plz make sure it’s right no websites plz if right will mark brainiest
Answers
Answer:
Step-by-step explanation:
tangent is oppisite over adjacent so 24/32 which simplifies to 3/4
Answer:
3/4
Step-by-step explanation:
Tan A= Opp/ Adj
Tan A= 24/ 32
Tan A= 3/4
pls help its not for me but could you still help my brother?
Answers
Answer:
C
Step-by-step explanation:
by which least number 25920 is divided to make it a perfect square.
Answers
Answer:
Step-by-step explanation:
Dividing by 5 we get 5184 which is square of 72. Answer is 5.
Convert 38 ounces to pounds
Answers
Answer:
2.375 poundStep-by-step explanation:divide the mass value by 16Answer:
2.375 pounds.
Step-by-step explanation:
formula: divide the number you need to convert by 16
ex. 38 divided by 16 = 2.375
Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal
Answers
Answer:
Step-by-step explanation:
88Find the value of x and y that will make each quadrilateral a parallelogram.
Answers
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
Two numbers have sum of 100 and a difference of 6
Answers
Answer:
a + b = 100
a - b = 6
2a = 106
2a/2 = 106/2
a = 53
53 + b = 100
53 + b - 53 = 100 - 53
b = 47
help I have three minutes left please
Answers
Answer:
Step-by-step explanation:
I < J < K < LGOOD LUCK WİTH YOUR EXAM!CAN YOU CHOOSE ME BRAİNLİEST PLS?
hope this helps <3
A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What is the volume of the space between the cube and sphere?
Answers
Answer:
Step-by-step explanation:
Volume of a cube = (side)³
= (20)³
= 8000 cubic in.
Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
Since, sphere just fits in, radius of the sphere = half of the dimension of the cube
r = [tex]\frac{20}{2}[/tex]
r = 10 in
Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]
= 4188.79 cubic inch
Volume of the space between the cube and sphere = 8000 - 4188.79
= 3811.21 cubic inch
Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?
Answers
Answer:
91
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be his test score of his last test , then
[tex]\frac{86+70+72+100+96+80+x}{7}[/tex] = 85 ( multiply both sides by 7 )
504 + x = 595 ( subtract 504 from both sides )
x = 91
what is smallest positive difference between two fractions, if the denominator of one fraction is 5 and the denominator of the other is 9
WHO EVER ANSWERS FIRST AND CORRECTLY GETS TO BE BRAINLIEST
Answers
Answer:
4?
Step-by-step explanation:
I dont think its right because i dont know how can it be four its just a guess :)
which expression represents 12x³-6x²+2x /
2x in simplest form?
Answers
Answer:
[tex]6x^{2} -3x+1[/tex]
Step-by-step explanation:
[tex]2x(6x^{2} -3x+1)/2x\\[/tex]
cancel 2 x
[tex]6x^{2} -3x+1[/tex]
Find the measure of the arc.
C
D
A
1469
E
B
MAB = [ ? ]°
Answers
Answer:
146 since the angle is a central that its measure is equal to the arc
Helpppp 30 points and brainliest
Answers
Answer:
i would say it's probably c
What is the value of x? Round the answer to the nearest tenth. The diagram is not drawn to scale.
Answer options:
A.) 60
B.) 120
C.) 15
D.) 30
Could you please give an explanation too, maybe? I’m quite confused on this one lol. Thank you to anyone who wants to help!!!
Answers
Answer:
I think d
Step-by-step explanation:
ywuwvwhqqow vwhwkwbsvshs
Find mZWZY.
(5x + 4)
(6x)
Answers
Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and a standard deviation of 2 mph and that the distribution of his fastball speeds can be modeled by a Normal distribution What percent of Kershaw’s fastballs will travel at least 100 mph?
Answers
Answer:
Step-by-step explanation:
ah, probability, so the std. deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 std. deviations so that means
0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast
so
0.15% will be 100 or faster.... not many
0.15% is the percent of Kershaw’s fastballs will travel at least 100 mph.
What is Normal Distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 standard deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 standard deviations so that means
0.3% fall outside also , 1/2 of those will 3 standard deviations slow while the other half is fast
so 0.15% will be 100 or faster
Hence 0.15 percent of Kershaw’s fastballs will travel at least 100 mph.
To learn more on Normal Distribution click:
https://brainly.com/question/25394084
#SPJ2
Clyde drew a map of his neighborhood. In the scale that Clyde used for his map, 0.5cm represented one mile. On Clyde’s map the distance between his house and his school is 1.5cm. What is the actual distance between Clyde’s house and his school?
Answers
Answer:
3miles
Step-by-step explanation:
if you add .5+.5+.5=1.5. so you added .5 to itself 3 times to get the answer
lauren spent $3.26 for lunch on Tuesday she spent $1.98 on Wednesday and $2.74 on Thursday list the price in ascending order
Answers
Answer:
1.98, 7.74, 3.26
Step-by-step explanation:
I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.
Hope this helped :)
12 x (3 + 2 to the power of 2) divided by 2 - 10
Answers
Answer:
the answer is 28
Step-by-step explanation:
Answer: look at the picture I think you want this
Step-by-step explanation: Hope this help :D
Is it worth it to buy primogems?
I really want Zhongli but I'd need to pay $43 ($143 if I loose the 50/50)
Answers
Answer:
It depends on how much you enjoy the game
Step-by-step explanation:
Honestly I spent $50 in the game and I really didn't get anything good. The game is a gamble. If you enjoy and want Zhongli so much you are willing to pay than go for it :)
Answer:
you should
Step-by-step explanation:
bc its genshin impact