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
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11x^2 + 35x + 2
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9/10 = d/6.4 what does d equal
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.................
PLEASE HELP ASAP!!
Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
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x + y + z = 180 degrees
x + y + z = 90 degrees
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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
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. 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]
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can someone help me with algebra? i'm lost on everything. i'm a junior in high school.
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Answer:
i can.
Step-by-step explanation:
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
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Answer:
b) Reflection over y = -2
Step-by-step explanation:
Reflection over y = -2
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Question
(01.01 LC)
What should be added to 3 to make the sum 0? (1 point)
a
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b
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с
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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.Can someone tell me which ones in first place and which ones in last place?
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.
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Answer:
a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%
Step-by-step explanation:
need help with this.
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Step-by-step explanation:
put some x values into the equation
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Then plot these on the graph as corodinates with the x values
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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
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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
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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
the sum of the areas of all the surfaces of a 3D figure
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Answer:
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Surface area is the sum of the areas of all the surfaces of a 3D figure
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Arithmetic and Explicit
Arithmetic and Recursive
Geometric and Explicit
Geometric and Recursive
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Answer:
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[tex] \\ [/tex]
Which graph below is a tree graph? Place a pointer on your answer.
Answers
Answer:
b
Step-by-step explanation:
BRAINIEST PLLLLLLSSSSSS
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]
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
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