Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answers
Answer:
E. Definition of Supplementary Angles
Step-by-step explanation:
Related Questions
Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.
Answers
Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2 you'd do: -3 x 13 and 2 x 13
Step-by-step explanation:
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answers
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
the scale on a map is 1:500000
two towns are 7cm apart on the map
what is the actual distance between the towns in kilometers ?
Answers
Answer:
35km
Step-by-step explanation:
1:500000
7:?
(cross multiply)
=3500000cm
1km=100000cm
3500000cm
3500000cm×1km
100000cm
=35km
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
Answers
Answer:
The first number: 14
The second number: 16
The third number: 18
Step-by-step explanation:
Equations
Let's assume:
x=the first even number.
x+2=the second even number
x+4=the third even number
The sum of all three is: x + x + 2 + x + 4
The condition states the sum decreased by 34 equals the first number:
x + x + 2 + x + 4 - 34 = x
Moving all the variables to the left side and the numbers to the right side:
x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4
Simplifying:
2x = 28
Solving:
x = 28 / 2 = 14
The first number: 14
The second number: 16
The third number: 18
5x+8y=6π solve equation for y
Answers
8y = 6pi - 5x
Y = (6pi -5x) / 8
This is the furthest you could simplify this equation. To get an exact value, you would need another equation to solve for x.
8y=6π-5π
8y=π
Answer: Y=π/8
Can someone help me with these two questions step by step plz
Answers
Answer:
1) x= 20
2) x= 75
Step-by-step explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
40= 2x
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
3x= 225
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!
guys pls pls help WILL mark brainliest
Answers
Answer:
Yes, y varies directly with x. The constant of variation is -3 so the function rule would be y= -3x
Step-by-step explanation:
If you look at the y values in the table, they are just the x values but multiplied by -3.
-3 x (-3) = 9
4 x (-3) = -12
6 x (-3) = -18
Direct variation can be shown by y=kx, where k is a constant. The resulting function creates a linear graph.
Which one?
A. B. C. or D?
Answers
A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden
Answers
Answer1/2(8x15)=60ft2
Step-by-step explanation: hope this helps you
The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.
What is the area of a triangle?The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.
The area of the triangle will be calculated as,
Area = 1/2 x 15 x 8
Area = 15 x 4
Area = 60 square feet
To know more about an area of a triangle follow
https://brainly.com/question/17335144
#SPJ5
if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?
Answers
Answer:
6,4
Step-by-step explanation:
4. Write an equation for the table in slope intercept form
Answers
Answer:
y=1.6x-5
Step-by-step explanation:
2q − q = 18 what does q=
Answers
Answer:
18
Step-by-step explanation:
Because -1 q would make it a positive 1q (q) so q=18
I need help plz and plz explain why plz
Answers
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answers
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Answers
Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5
18 mins / 2.5 miles = 7.2 mins / mile
HELPPP! PLEASEEEE, middle school is hard.
Answers
Answer:
a. sss
Step-by-step explanation:
Answer:
All it is asking you to do is chose which letters at the bottom prove that ADE=BCE. I would say none of them, but I don't really know. I know my explanation is a little unclear but I hope it will help you in some way.
Step-by-step explanation:
T = CB-5, for C
C=
What’s the answer
Answers
Answer:
C=t/b + 5/b
Step-by-step explanation:
Please make me Brainliest
Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?
Answers
Answer:52 miles per hour
Step-by-step explanation:
20 POINTS!!!! Help please
Answers
Answer:its c
Step-by-step explanation:
A patio is designed using two types of tiles. The tiles are similar isosceles triangles. The lengths of the sides of the larger triangle are 6 inches, 6 inches, and 4 inches. Which one of these could be the side measurements of the smaller triangle?
Answers
Ommited Answer Choices:
A. 4 inches, 4 inches, 4 inches
B. 3 inches, 3 inches, 3 inches
C. 3 inches, 3 inches, 2 inches
D. 2 inches, 2 inches, 3 inches
Answer:
C. 3 inches, 3 inches, 2 inches
Step-by-step explanation:
The ratio of the corresponding lengths of two similar polygons will always be equal.
Thus, the ratio of the smaller sides of both similar isosceles ∆ should equal the ratio of the other sides.
Thus, from the options given, the side measurements that could be that of the smaller triangle are: 3 inches, 3 inches, 2 inches.
This is because: ratio of one of the equal side of the larger triangle to one of the equal side of the smaller triangle equal ratio of the shortest side of the bigger triangle to the shortest side of the smaller triangle.
Thus: 6/3 = 4/2 = 2.
the Venn diagram is shown below
Answers
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
Name an angle supplementary to /EOD
Answers
From 24 grams to 96 grams ( percent change )
Answers
Answer:
i think it is 300%
Step-by-step explanation:
Determine which product has the lower unit price one gallon of orange juice for $3.49 or B a half gallon of orange juice for $1.70
Answers
Solve the equation for y: -8x + 4y = 20
A)
y-2x5
B)
y = 2x + 5
y = 2x+5
1/3x + 20
D)
y =
Answers
Answer:
y=2x+5
Step-by-step explanation:
Anyone wanna help?please
Answers
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given to points to us are :-
( 3 , -6 )( -1 , -8 )( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
[tex]\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]
Here ,
x1 = 3 .x2 = -1.y1 = (-6)y2 = (-8).→ Substituting the respective values ,
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
Hence the distance between two points is 4√5u.
Use Graphs A-D for Exercises 9-11. During the winter, the amount of water that flows
down a river remains at a low constant. In the spring, when the snow melts, the flow of
water increases drastically, until it decreases to a steady rate in the summer. The flow
then slowly decreases through the fall into the winter. Consider the graphs shown.
A.
B.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
C.
D.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
9. Which graph best represents the given situation?
Graph B
10. Describe the other three graphs.
11. What are possible situations for graphs B, C, and D?
Answers
did u get the awnsers?
Please just do whatever you can
Answers
6. -62/289 or -0.249135
Explanation:
8/17x-3/5=-24/85x15/17= -62/289
Earth is 148.61 million km from the sun in scientific notation it is
Answers
Answer:
1.48x10^2 ten to the second
Step-by-step explanation:
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. Not enough information
E. None of these
Answers
Answer:
I think it might be C...