Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.
Answers
Answer is below in the picture:-
(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')
I hope it helps.
It is proved that the ray BC is the angle bisector of angle ABA'.
What are angle bisectors?Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.
Therefore, <A'B'C' = <ABC
By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Hence, the ray BC is the angle, bisector of angle ABA'.
Learn more about reflection here;
https://brainly.com/question/28186407
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Related Questions
sixty students at gillette road middle school play a winter modified sport. if there are 500 students in the middle school, what percent of students play a sport
Answers
Answer:
60/500=0.12
so 12%
Hope This Helps!!!
One leg of a 45°-45°-90° triangle is 9. Find the lengths of the other sides.
Answers
Answer:
9, 9√2
Step-by-step explanation:
The ratios of side lengths in a 45°-45°-90° triangle are ...
1 : 1 : √2
The other leg is the same as the first, and the hypotenuse is √2 times that.
The other sides are 9 and 9√2.
-6x+6y=9 (1/2,2) please helppppp
Answers
Answer:
A. Solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Step-by-step explanation:
*Note:
A coordinate is a solution if both the left side and right side of the equation is equal.
Step 1: Define
Identify.
-6x + 6y = 9
(1/2, 2)
Step 2: Verify
Substitute in variables [Equation]: -6(1/2) + 6(2) = 9[Order of Operations] Evaluate: 9 = 9Since 9 does indeed equal 9, the coordinate (1/2, 2) is a solution.
Two trucks, A and B, start from the intersection C of two straight roads at the same time. Truck A is traveling twice as fast as truck B, and after 4 hours, the two trucks are 350 miles apart. Find the approximate speed of truck B in miles per hour.
A. 39 B. 51 C. 44 D. 78
Answers
Answer:
6
Step-by-step explanation:
Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.
Answers
Answer:
a1=21
an=an-1+6
Step-by-step explanation:
Dev has a monthly food budget of $182. He maps the amount of money,x, he spends each month to the number of food items he buys. What are the constrains on the domain?
Answers
Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:
x is of at least $0.x is of at most $182.The domain of a function is the set that contains all possible values for the functions.
In this problem, the input of the function is how much he spends on food.
His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115
The domain of a function is the set of input values the function can have.
The constraints on the domain are: the amount (x) is at least $0, and it is at most $182
From the question, Dev's budget on food is given as:
[tex]Budget = \$182[/tex]
This means that, he cannot spend more than $182.
Represent the amount with x.
So, we have:
[tex]x \le 182[/tex]
Also, he cannot spend a negative amount.
So, we have:
[tex]x \ge 0[/tex]
So, the domain is:
[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]
Rewrite as:
[tex]0 \le x[/tex] and [tex]x \le 182[/tex]
Combine both inequalities
[tex]0 \le x \le 182[/tex]
Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182
Read more about domain at:
https://brainly.com/question/10197594
If line segment AB represents 25%, what is the length of a line segment that is 100%?
Answers
I Hope This Helps
Surface area of cone 5ft by 21ft
Answers
if the radius is 21 then the answer is 2809.61
Answer:
417.63
Step-by-step explanation:
the length of a rectangly is eight more than twice its width. if the length is less than 34, then what is the width?
Answers
Answer:
13
Step-by-step explanation:
I think u mean if the length is 34. If so heres how to work it out.
l = 2w + 8
l = 34.
34 - 8 = 26
26 / 2 = 13.
Width = 13
Answer:
x < 13
Step-by-step explanation:
→ Write an equation for the width
2x
→ Write an equation for the length
8 + 2x
→ Set up an equation
8 + 2x < 34
→ Solve
x < 13
Please help?!! Hurry please!!
Answers
Answer:
C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]
Explanation:
[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898
Answers
Answer:
Step-by-step explanation:
The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.
Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.
Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths
So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.
1) 3
2) 4
3) 5
4) 6
5) 7
6) 8
7) 9
For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.
are 6/12 and 12/24 equavilent
Answers
Answer:
yes because they're both half of each other
Answer:
Yes
Step-by-step explanation:
A rock is 7 feet below the surface of a river. If its position can be recorded as −7 feet, what would the position of 0 represent? (5 points)
Question 3 options:
1)
On the surface of the river
2)
At the bottom of the river
3)
7 feet above the surface of the river
4)
7 feet below the surface of the river
Answers
Answer:
A on the surface of the river
Step-by-step explanation:
100 persent correct
130 is what percent of 70?
Answers
Answer:
91%
Step-by-step explanation:
hopes this helps
Answer:
185.71%
Step-by-step explanation:
130 / 70 = 1.857142857
(1.857142857)(100) = 185.71%
Help help math math
Answers
Answer:
5/1
Step-by-step explanation:
the y is 5units and the x is 1unit
Answer:
7/4
Step-by-step explanation:
Use rise over run to solve
4-(-3) 7
-------- = -
6-2 4
PLS HELP ON GEOMETRY: select all the true statements
Answers
Answer:
E
Step-by-step explanation:
9.
10. Find two numbers such that five times the larger number plus twice the smaller is 70, and four
times the larger minus twice the smaller is 38.
Answers
The two numbers are 12 and 5.
Two equations can be derived from this question
5x + 2y = 70 equation 1
4x - 2y = 38 equation 2
Where:
x = larger number
y = smaller number
In order to determine the larger number, the following steps hare to be taken:
Add equation 2 and 1
9x = 108
Divide both sides by 9
x = 108/9
x = 12
In order to determine the smaller number, substitute for x in equation 1
5(12) + 2y = 70
60 + 2y = 70
70 - 60 = 2y
10 = 2y
y = 5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Quincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
2 times 1
2 times 2
3 times 1
3 times 2
Answers
Answer:
3 times 1
Step-by-step explanation:
2.75 - 75 or in other words 7 is closer to 10 than 0, so well round it up to the next number, 3.
1.25 - 25 or in others words 2 is closer to 0 than 10, so we'll round it down to the nearest lowest whole number, 1.
our new expression: 3 × 1. hope that helps!
If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?
Answers
Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.
The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:
The length is of 102' 6''(102 feet and 6 inches), hence [tex]l = 102.5[/tex].The width is of 5' 4'', hence [tex]w = 5.33[/tex].The depth(height) is of 3' 3'', hence [tex]h = 3.25[/tex].Then:
[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]
The volume that was removed is 1776 cubic feet.
To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528
please help ASAP! i have been struggling on this question and need help!
Answers
Answer:
841.53
Step-by-step explanation:
equation for annual intrest is
[tex]I*y^x=f[/tex]
where I is your initial amount, y is equal to [tex]1+(interest /100)[/tex]
and x is equal to the amount of years you're looking for, with f being the final balance
so for this questions, the equation is as follows
[tex]600*(1+7/100)^5=f\\600*1.07^5=f\\600*1.40255=f\\841.53=f\\[/tex]
2.03 of 0.045 is what number?
Answers
Answer:
2.03% of 0.045=0.0009135
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 0.045 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.045 is 100%, so we can write it down as 0.045=100%.
4. We know, that x is 2.03% of the output value, so we can write it down as x=2.03%.
5. Now we have two simple equations:
1) 0.045=100%
2) x=2.03%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.045/x=100%/2.03%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 2.03% of 0.045
0.045/x=100/2.03
(0.045/x)*x=(100/2.03)*x - we multiply both sides of the equation by x
0.045=49.261083743842*x - we divide both sides of the equation by (49.261083743842) to get x
0.045/49.261083743842=x
0.0009135=x
x=0.0009135
Answer:
0.09135
Step-by-step explanation:
when it says "of" a number, you simply multiply them
Approximately what portion of the beaker is filled?
A.3/4
B. 1/2
C. 5/9
Answers
Answer:
The answer which I think is 3_4
Two same-sized triangular prisms are attached to a rectangular prism as shown below.
If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters
Answers
Answer:
answer will be a 1,208 square centimeters
(a) 95% of what is 57?
(b) What number is 35% of 40?
Answers
Answer:
a=54.15 and b=14
Step-by-step explanation:
Leah goes to Buffalo Wild Wings for lunch. Her total bill was $35.50. She wants
to leave a tip that is 18% of the total bill. How much should she leave for the
server? How much did she spend in all?
Answers
Answer:
$41.89
Step-by-step explanation:
18% of %35.50 is $6.39.
$6.39+$35.50= $41.89
Answer:
She should leave $6.39 tip for the server. She paid $41.89 in all. Hope this helped! if the answer is wrong im super sorry!
Step-by-step explanation:
0.18 x 35.50 = 6.39
6.39 + 30.50 = 41.89
B(14, 12)
A(-5,-2)
A. Find the midpoint of Segment AB
Answers
so you would do (-5+14)/2=4.5. (-2+12)/2=5
(4.5, 5)
Help help help math math math
Answers
Answer:
1/4
Step-by-step explanation:
the x decreases by 1 the y decreases by 4
Answer:
-4
Step-by-step explanation:
Simplify the linear expression. −4x+5(−5x−1) Enter your answer in the box.
Answers
Answer:
-29x - 5
Step-by-step explanation:
-4x - 25x - 5 = -29x - 5
Answer:
- 29x - 5
Step-by-step explanation:
- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5
= - 4x - 25x - 5 ← collect like terms
= - 29x - 5
A restaurant tablecloth is 98 inches across. What is the approximate circumference?
Answers
The circumference of a circle with diameter of 98 in. is about 308 in.
Step-by-step explanation:We know the diameter. Using the diameter, we can find the circumference.
=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.Circumference = 2πr
=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
help me with this math problem please
Answers
Answer:
BC ≅ EF
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent
ABC ≅ DEF
The corresponding sides are BC and EF