What is the missing reason for the 3rd step in the proof below?
A. If two lines are parallel, then alternate interior angles are congruent
B. Corresponding angles theorem
C. Vertical angles are congruent
D. If two lines are parallel, then alternate exterior angles are congruent
Answers
Answer:
The missing reason for the 3rd step in the proof below is;
C. Vertical angles are congruent
Step-by-step explanation:
In the two column proof, we have;
Statement [tex]{}[/tex] Reason
1. AB ║ CD [tex]{}[/tex] 1. Given
2. ∠3 ≅ ∠7 [tex]{}[/tex] 2. Corresponding angles theorem
3. ∠7 ≅ ∠6 [tex]{}[/tex] 3. Vertical angles are congruent
4. m∠3 = m∠7 [tex]{}[/tex] 4. Definition of congruence
m∠7 = m∠6
5. m∠3 = m∠6 [tex]{}[/tex] 5. Substitution
6. m∠3 ≅ m∠6 [tex]{}[/tex] 6. Definition of congruence
Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other
Other vertical angles in the diagram are;
1) ∠5 and ∠8
2) ∠1 and ∠4
3) ∠2 and ∠3
Related Questions
. A fishing bobber has a radius of 0.5 inch. Find the volume of the fishing bobber. Round your answer to the nearest tenth.
Answers
Given:
The radius of the fishing bobber = 0.5 inch.
To find:
The volume of the find bobber.
Solution:
We know that the shape of fishing bobber is a sphere.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Substitute r=0.5 and [tex]\pi=3.14[/tex] to find the volume of the fishing bobber.
[tex]V=\dfrac{4}{3}(3.14)(0.5)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(0.125)[/tex]
[tex]V=0.52333...[/tex]
Approx the value to the nearest tenth.
[tex]V\approx 0.5[/tex]
Therefore, the volume of the fishing bobber is 0.5 cubic inches.
Question
(01.01 LC)
What should be added to 3 to make the sum 0? (1 point)
a
-3
b
-2
с
0
d
3
Answers
can someone help me with algebra? i'm lost on everything. i'm a junior in high school.
Answers
Answer:
i can.
Step-by-step explanation:
Someone plz help me
Answers
19/8 • 5/2=
95/16= 5 15/16 miles
Who know the answer of this? And can u pls explain for me?
Answers
Answer:
1.5 kg
Step-by-step explanation:
17*92 g = 1564
1564/1000= 1.564 kg
Answer:
1.75kg
Step-by-step explanation:
If he needs to plant 17 bulbs and he needs 92 grams of soil for each you would multiply both to see how much
17 x 92 = 1564
1564 is more than what the 1.5kg bag would have so it would be the next bigger bag which is 1.75kg
convert the following repeating decimal to a fraction in simplest form .53
Answers
9514 1404 393
Answer:
53/99
Step-by-step explanation:
When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.
[tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]
__
If the repeat does not start at the decimal point, the conversion can be done as follows.
For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).
The fraction will be ...
(x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction
Here, that looks like ...
[tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]
the sum of the areas of all the surfaces of a 3D figure
Answers
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Surface area is the sum of the areas of all the surfaces of a 3D figure
What is an area?An area is the amount of space occupied by a two dimensional (has length and width) shape or object.
A three dimensional shape is a shape with length, width and height. Surface area is the sum of the areas of all the surfaces of a 3D figure
Find out more on area at: https://brainly.com/question/25292087
.Peter has 288 coins. 25% of these coins are $1 coins. He wants to increase tt
number of $1 coins to 64%. How many more $1 coins must he collect?
Answers
the number of students enrolled at a college is 15,000 and grows 4% each year
the initial amount A is ?
Answers
Answer:
15,000
Step-by-step explanation:
initial amount is basically the starting amount
What type of function is this:
a1 = 2
an = an-1+4
Arithmetic and Explicit
Arithmetic and Recursive
Geometric and Explicit
Geometric and Recursive
Answers
Answer:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
[tex] \\ [/tex]
9/10 = d/6.4 what does d equal
Answers
.................
after finding the prime numbers of 13 17 19 identify the median from the options A. 18 B. 17
C. 13
D. 19
Answers
Answer:
B, 17
Step-by-step explanation:
The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.
The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this gradient represents. the graph intersects the volume axis at L=2 c)explain what this value represents
Answers
Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
Can someone tell me which ones in first place and which ones in last place?
Answers
need help with this.
Answers
Step-by-step explanation:
put some x values into the equation
i.e : -2, -1, 0 ,1 ,2
3/5 (-2) +2 = 4/5 (-2, 4/5)
3/5 (-1) +2 = 7/5 (-1, 7/5)
3/5 (0) +2 = 2 (0, 2)
3/5 (1) +2 = 2.6 (1, 2.6)
3/5 (2) +2= 3.2 (2, 3.2)
Then plot these on the graph as corodinates with the x values
I'll give brainiest , 5 stares help
Answers
Which graph below is a tree graph? Place a pointer on your answer.
Answers
Answer:
b
Step-by-step explanation:
BRAINIEST PLLLLLLSSSSSS
Two angles are a linear pair. The measure of one angle is 5 more than 2/3 of the other. find the measure of both angles
Answers
Answer:
a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%
Step-by-step explanation:
a) Find the area of triangles in which
(i) base = 8 cm, height = 5.5 cm
(ii) base = 12 cm, height = 8.4 cm
Answers
Answer:
Step-by-step explanation:
1) B=8cm H=5.5
A=1/2xbxh
A=I/2 x 8 x 5.5
A=22
The area of the first traingle is 22cm
2)
B=12cm h=8.4
A=1/2xbxh
A=1/2 x 12 x 8.4
A=50.4
Hope it helps...This is My first Answer...Follow me?!
SUSPECT #077802
MR. MATT A MATTICS
CHARGE: MURDER
Mr. Motties has been a sworn enemy of Mr Boddy ever since they were in Boot Camo (according to him, Me
Boddy put Noir in his shampoo bottle on the night before Mattias received a prestigious award) Moties cims
that he was slipping blue pills into Boddy's vitamin containers. The only problem is. Boddy reported his
Suspicions to his doctor, and his doctor gave him on antidote - small green pilis
The number of blue pills Mr. Motties gave him wos 3 more than the number of green pils Mr Body too. The
total number of green pills and blue pills Mr Boddy took wos 17 pills. He needed to take at least 1 us for
The effects to be deadly
in your core Log, write a system of equations, then solve to find the number of blue pils Mr Body took se
Mattis telling the truth?
Answers
PLEASE HELP ASAP!!
Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
Answers
y + z = x
Plz mark me as brainliest
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,
∠BAC + y + z = 180° ...1
The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,
∠BAC + x = 180° ...2
From equations 1 and 2, then we have
∠BAC + y + z = ∠BAC + x
y + z = x
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
please help with question 2 50 points for answer and brainliest
Answers
Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
which logarithmic equation is equivalent to this exponential equation?
Answers
Answer:
A
Step-by-step explanation:
[tex]a^x = b \\log_a(b) = x[/tex]
Someone PLEASE HELP
Let C = 2.32 N + 34180 represent the cost, C, of raising a child to 18 years of age, on an income, N.
If the cost is $120,000, what is the income?
$37,382
$36,991
$36,521
$35,856
QUESTION 49 I NEED HELP ASAP
Answers
Answer:
$36991
Step-by-step explanation:
C = 2.32N + 34180
120000 = 2.32N + 34180
85820 = 2.32N
N = 85820/2.32
N = 36991
Answer: $36991
can some one please help me with thissss if you don't mind
Answers
11x^2 + 35x + 2
Let me know if you want a step by step explanation. Hope this helps!!
8 need help asap will give brainly
Answers
Answer:
The answer is D
Step-by-step explanation:
Please give me brainliest
Geometry please help-
Find PQ
Answers
Answer:
PQ = 29
Step-by-step explanation:
Lengths of the two tangents from a external point to the circle is equal
14x - 13 = 8x + 5 {add 13 to both sides}
14x = 8x + 5 + 13
14x = 8x + 18
14x - 8x = 18
6x = 18
x = 18/6
x = 3
PQ = 14*3 - 13
= 42 - 13
= 29
Answer:
PQ = 29
Step-by-step explanation:
As we know that,
[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.
[tex]\dashrightarrow\bf{14x - 13 = 8x + 5 \: .... \: (Adding \: 13 \: to \: both \: the \: sides)} \\ \\ \dashrightarrow\bf{14x = 8x + 5 + 13} \\ \\ \dashrightarrow\bf{14x = 8x + 18} \\ \\ \dashrightarrow\bf{14 - 8x = 18} \\ \\ \dashrightarrow\bf{6x = 18} \\ \\ \dashrightarrow\bf{\frac{\cancel{18}}{\cancel{6}}} \\ \\ \dashrightarrow\boxed{ \bf \red{x = 3}} \: \bigstar[/tex]We've been asked to find out PQ;
[tex]:\implies\tt{PQ = 14x - 13} \\ \\ :\implies\tt{PQ = 14 \times (3) - 13} \\ \\ :\implies\tt{PQ = 42 - 13} \\ \\ \implies\boxed{ \tt\blue{PQ = 29}} \: \bigstar[/tex]Thus,
The length of PQ is 29.Jason sells semi-trucks at a local truck dealer. He is paid a base pay of $1,000 and 1.5% on his monthly sales. How much will he make if he sells $425,000 worth of trucks this month?
Answers
How many of the small prisms would it take to completely fill up the larger prism (I need helpppp)
Answers
Answer:
we need the mesurmwnt of the prismms dude
Step-by-step explanation:
How to simplify 12 to the 0 power
Answers
Answer: 1
Step-by-step explanation:
Rule of thumb:
Anything to the POWER OF 0 will Always be 1
12^0=1