Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.
Answers
Answer:
Step-by-step explanation:
From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Therefore, coordinates of the point X will be,
= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
= (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of AX = BX = [tex]a\sqrt{2}[/tex]
Therefore, triangle AXB is an isosceles triangle.
Related Questions
What is the only real number which, when divided by itself, is 2020
times itself?
Answers
Answer:
1/2020
Step-by-step explanation:
We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:
x/x = 2020*x
The left-hand side reduces to 1:
1 = 2020*x
Now, you can divide both sides by 2020:
x = 1/2020
To check, we can divide 1/2020 by itself:
[tex]\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1[/tex]
1 is indeed 2020 times 1/2020.
We have that
x=4.95*10^{-4}
From the question we are told
What is the only real number which, when divided by itself, is 2020
times itself
Generally the equation for the statement is mathematically given as
[tex]\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}[/tex]
Hence
the only real number which, when divided by itself, is 2020
times itself is
[tex]x=4.95*10^{-4}[/tex]
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Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Write an expression that correctly applies the the distributive property to show two equivalent expressions for the number of bags of soil he bought. (hint: Find GCF to help apply distributive property)
Answers
Answer:
[tex] 49 + 28 = 7(7 + 4) [/tex]
Step-by-step explanation:
Number of bags bought in one week = 49 bags
Number of bags bought the next week = 28 bags
Number of bags bought is [tex] 49 + 28 [/tex]
To express this using the distributive property, look for the greatest common factor of 49 and 28. Factor it out to get an expression.
Thus:
The factor 7 can go into 49 and 28. Factor out 7.
Therefore, we would have:
[tex] 49 + 28 = 7(7 + 4) [/tex]
HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!
Answers
Answer:
C i think
Step-by-step explanation:
You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say
y = -x – 1
What’s the slope?
Answers
Answer:
m = − 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The slope formula is y=mx + b. m is the slope and b is the y-intercept. m is the number that x is being multiplied by. In this problem, you just see -x, so m= -1.
help me pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answers
Answer:
the 2nd and 4th i think
Step-by-step explanation:
I’m pretty sure the answer would be
x(5) =10.
a cubic block of ice has a volume of 1,331 inches how tall is the block
Answers
Answer:
The answer is 11. 11^3 is 1,331.
Step-by-step explanation:
NP
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
Answers
Answer: The amount would be $3.70
Step-by-step explanation: 0.20x6=1.20+2.50=3.70
do you guys know this by any chance
Answers
Answer:
ME
Step-by-step explanation:
if it is a negative exponent, you have to change it
8^5times 8^9 I think
Answer:
I don't but i can see if my shadow clones do! MULTI SHADOW CLONE JUTSU!!!!
Step-by-step explanation:
They don't...
Explain why -7 has a greater absolute value than the absolute value of 6.
Answers
Answer:
abosute value is the bigger number regardless of positives and negitives.
Step-by-step explanation:
Answer:
The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.
What does that equal??
Answers
Answer:
I beileve its 1 and 7/15
Step-by-step explanation:
It was for a test and I beileve I got a 100
Answer:
1 whole, 7/15
Step-by-step explanation:
Step 1_ (23×55)+(45×33)=?
Step 2_ 1015+1215=?
Step 3_ 10+1215=2215
Step 4_ 2215
Step 5_ 22÷15
Step 6_ 2215=1715
Step 7_ 23+45=1715
BTW THE NUMBERS ARE FRACTIONS NOT WHOLE NUMBERS
HOPE THIS HELPS!!
Help me !!! Please someone
Answers
Answer:
5 and 6
Step-by-step explanation:
The square root of 25 is 5 and the square root of 36 is 6. 33 falls between those
The tables of ordered pairs represent points on the graphs of Equation 1 and Equation 2. Which system of equations is represented
by these two tables?
A)
4x + y = 24
2x + 2y = 4
B)
x + 4y = -24
x-y--4
C)
x - 4y= 24
x+y=4
D)
4x - y = 24
2x - 2y - 4
Answers
Answer:
Step-by-step explanation c
someone help with this ASAP I HAVE FEW MINS !!!
Answers
Answer:
Symmetric
Step-by-step explanation:
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. SAS
B. AAS
C. SSS
D. ASA
E. None of these
Answers
E
Hope this helps
You want to paint your basement bright orange for your birthday party. The orange paint shade you like uses 3 parts red and 5 parts yellow. How many cups of red would you
need if you want 1 gallon of paint? (There are 2 cups in 1 pint, 2 pints in 1 quart, and 4 quarts in 1 gallon.)
Answers
Answer:
Step-by-step explanation:
6 cups red
Answer:
Step-by-step explanation:
6 cups red
-4j-1-5j+6= pls help me
Answers
Hello
Answer:
-9j+5
Step-by-step explanation:
=-4j-1-5j+6
=-4j-5j+6-1
=-9j+5
i have 50 plus 15 or 13 followers on Tikok how much followers do i have :)
Answers
Answer:
65?
Step-by-step explanation:
Before i thought the dividing functions
Answers
A car travels about 74 feet in one second. At this speed, about how many feet will the car travel in 6 seconds?
Answers
444 ft traveled in 6 seconds.
If the car travels 74 ft in 1 second, all you have to do is multiply 74 by 6 to find the answer, which is 444 ft.
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answers
Answer:
8(4+4) =7 38+38
=86
Given m||n, find the value of x.
+
m
(2x+6)º(x+9)
Someone please help?
Answers
Answer:
x=55
Step-by-step explanation:
(2x+6)+(x+9)=3x+15
3x+15=180
3x=165
x=55
1/9 of 54 bottles of water = ? bottles
Answers
Answer:
6
Step-by-step explanation:
If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.
6
Step-by-step explanation:
First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6
Put these numbers in order from least to greatest
4.9 4.5 314
Answers
Josie deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals how muck money is in Josie's account at the end of four months?
Answers
Answer:
$309.20
Step-by-step explanation:
$450 - 4(35.20)
After four months she will have $309.20
A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.
Answers
9514 1404 393
Answer:
A(x) = -2/5x^2 +200x
Step-by-step explanation:
There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...
5y +2x = 1000
Then the value of y is ...
y = (1000 -2x)/5
The area is the product of x and y:
A(x) = xy
A(x) = x(1000 -2x)/5
A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area
In standard form, the equation is ...
A(x) = -2/5x^2 +200x
11.You are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and
42 apples. You want identical groups of items in each basket with no items left
over. What is the greatest number of picnic baskets you can fill?
Answers
Answer:
6
Step-by-step explanation:
divisible by 6, so 3, 4 and 7
The greatest number of baskets will be 6.
What is the greatest common factor?The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF.
The greatest common factor is the largest positive number which can be divided into given numbers evenly.
Given that you are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and 42 apples.
The greatest common factor between the numbers 42, 18, and 24 will be 6.
42 / 6 = 7
18 / 6 = 3
24 / 6 = 4
Therefore, the greatest number of baskets will be 6.
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Please help Asap!
Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.
86, 101, 116, 131, 146,...
112, 110, 108, 106, 104,...
Answers
Answer:
Step-by-step explanation:
86,101,116,131,146,...
a=86
c.d d=101-86=15
explicit formula
[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]
recursive formula
[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]
2.
112,110,108,106,104,...
a=112
c.d d=110-112=-2
explicit formula
[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]
recursive formula
[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]
Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?
Answers
what negative angle is equivalent to a 75 angle
Answers
Answer: it’s actually -285
Step-by-step explanation: took test
The negative angle equivalent to a 75 angle is -285 angle.
We are given a 75 angle and we need to find a negative angle that is equivalent to the 75 angle.
What is a negative angle?A negative angle is defined as an angle generated in a clockwise direction from its given base.
We have a 75 angle which is in an anti-clockwise direction from the base AB as shown in the figure.
Now we will draw an angle in a clockwise direction from the base AB such that the angle reaches angle 75 which means it is equivalent to angle 75
We have,
Adding the angle from base AB till angle 75.
90° + 90° + 90° + 15° = 285°
Since the angle is measured in a clockwise direction we have,
285° = - 285°
The negative angle equivalent to a 75 angle is -285 angle.
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