Explanation:
The altitude to the base of an isosceles triangle meets the base at right angles, dividing the triangle into two right triangles. The hypotenuse of each of these triangles is one of the congruent sides of the isosceles triangle, so the hypotenuses are congruent. The altitude is congruent to itself, so comprises congruent legs of the right triangles.
The right triangles are congruent to each other by the HL congruence theorem. The remaining side of each of the right triangles is part of the base of the original isosceles triangle. Those sides are congruent by CPCTC, so the altitude meets the base at its midpoint. Hence the altitude to the base is a median of the isosceles triangle.
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Here's the same argument with vertices defined.
Define isosceles triangle ABC such that AB≅AC. Define altitude AD⊥BC. Then ΔADB and ΔADC are right triangles with AB≅AC and AD≅AD. Then ΔADB≅ΔADC by the HL theorem, and DB≅DC by CPCTC. Hence D is the midpoint of BC, and AD is a median.
If x is an integer, what is the least possible value for x that satisfies the inequality?
-5x - 12 < 33
A. -10
B. -9
C. -8
D. 9
E. 10
Answer:
C. -8
Step-by-step explanation:
We have to solve the inequality by isolating x.
-5x - 12 < 33
Add 12 to both sides.
-5x < 45
Divide both sides by -5 (remember to flip the sign when dividing by a negative).
x > -9
The least possible value for x that satisfies this inequality is -8.
hello!! So I’m in 5th grade (middle school in my state :]) and I have a question.
what is 5 x 23 x 2 ? Please help! I didn’t understand anything in the mah lesson today and I’m behind.
if you can help that’d be a help!
also please tell me how the answer was gotten!
5 x 23 x 2
Answer:230
Step-by-step explanation:
5 x 23= 115
115 x 2= 230
Can someone help me with this two because I am very confused
Answer:
Let the height of the larger box = h
and length and width of the larger box = l and w , repectively
Now , Let find the volume of the larger box
Volume = length * width * height
So Volume of the larger box = l*w*h = lwh
Now the question says
the height of the smaller box is 80% of the height of the larger box
It means
Height of the smaller box = 80% of h = 0.80*h = 0.80h
and the other two dimensions are same so it means length and width of the smaller box = l and w
so, Volume of the smaller box = l*w*0.80h = 0.80lwh
So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box
therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh
Step-by-step explanation:
what comparison does the ratio 6 to 21 represent
Answer:
3:7
Step-by-step explanation:
hope it help you....
Answer:
2:7
Step-by-step explanation:
You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)
In triangle JKL, JKL is a right angle, KM and is an altitude. JL=25 and JM=5, find KM
Answer:
50
Step-by-step explanation:
Find the arc length of the partial circle.
Either enter an exact answer in terms of π or use 3.14 π and enter your answer as a decimal.
Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
Answer:
Step-by-step explanation:
A full circle has a circumference of 2*pi * r
r = 1
so Full Circle = 2 * PI
1/4 Circle = 2*pi / 4 = 1/2 pi
The length of the arc length = 1/2 pi
Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57
A person riding in a elevator travels 240 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
A. y=8x; 8 feet
B. y=1/8x; 1.25 feet
C. y=8x; 80 feet
D. y=6x; 60 feet
Answer:
The answer to this question is letter C
We can approach this by first finding the rate of feet per second traveled.
240(feet)/30(seconds)= 8 feet per second.
This answer resembles the slope for answer choice C.
To find the distance traveled in 10 seconds we do 10*8= 80 feetStep-by-step explanation:
have a great day and good luck
Look at the picture below for the info
Answer:
x = -3/14
Step-by-step explanation:
1/2(2x-1) = -1/7 -4/7
Combine like terms
1/2(2x-1) = -5/7
Multiply each side by 2
2*1/2(2x-1) = -5/7*2
2x-1 = -10/7
Add 1 to each side
2x-1+1 = -10/7 +1
2x = -10/7 +7/7
2x = -3/7
Divide by 2
2x/2 = -3/7 *1/2
x = -3/14
Write an equation to find the nth term. Then find ₐ₂₄
1, 3, 5, 7,.......
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is 1 and d is the difference, which in this sequence the next term is found by adding 2 to the previous term, so d = 2 and n is the term you want to find.
The equation is:
an = 1 + (n-1)2
a24 = 1 + (24-1)2 = 1 + 23(2) = 1+46 = 47
Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies. Before winter break, he bought a new racing video game for $49.86. How much money did Perry have left?
Answer:
[see answer below]
Step-by-step explanation:
"Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies."
4 * 20 = 80
2 * 10 = 20
3 * 0.1 = 0.3
2 * 0.01 = 0.02
80 + 20 + 0.3 + 0.02 = $100.32
100.32 - 49.86 = 50.46
Hope this helps you.
Answer:
$50.46
Step-by-step explanation:
i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?
Answer: 23 dimes & 7 quarters
Step-by-step explanation:
Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = yYou can create two equations:
[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]
Rearrange x + y = 30:
[tex]y=30-x[/tex]
Substitute it into the x-value of the other equation & solve:
[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]
With the x-value, substitute it back to the original equation to find y-value:
[tex]y=30-x=30-23=7[/tex]
Therefore, there are 23 dimes & 7 quarters.
There are 23 dimes and 7 quarters.
Given that, the total number of coins=30.
How to convert dimes to dollars?To convert dimes to dollars we need to multiply the number of dimes by 0.1.
Let the number of dimes be x, and then the number of quarters will be 30-x.
Now, x×0.1+(30-x)×0.25=4.05
⇒-0.15x=-3.45
⇒x=23
30-x=7
Hence, there are 23 dimes and 7 quarters.
To learn more about equations visit:
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what is the equation
Answer: -12 - 3 = -15
Explanation:
We start at -12 which goes in the first box.
Moving to the left 3 units means we subtract off 3, so that's why 3 goes in the second box.
The arrow is pointing at -15 as the final destination, which goes in the final third box.
Solve the equation -10(g - 6) = 65.
Answer:
g = -1/2
Step-by-step explanation:
-10(g - 6) = 65
Distribute
-10g +60 = 65
Subtract 60 from each side
-10g+60-60 = 65-60
-10g = 5
Divide by -10
-10g/-10 = 5/-10
g = -1/2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
HELPPPPPPPPPP HELPPPPPP
Answer:
14c decrease Option D
Step-by-step explanation:
The temperature was 8c at 12 am and -7c at 7 pm to find the difference subtract to get 14c.
whats wrong im only in 7th grade
Step-by-step explanation:
25. Ava found that 5 cars passed her house in 10 minutes. Which of the following is a unit rate per hour for this situation? A 10 cars per hour 20 cars per hour B) 30 cars per hour D 40 cars per hour
Answer:
B. 30 cars per hour
If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour
hope you got it xx
Ms. Lopez drew parallelogram M with a height of 6 inches and a base of 6 inches, and parallelogram N with a height of 4 inches and a base of 8 inches. Which parallelogram has the greater area, M or N? help plz
Answer:
It is the parellogram M
Step-by-step explanation:
In order to find the area of a parellogram we need do base x height so we compare 6x6 and 8x4 thus making 36>32
Answer:
t is the parellogram M
In order to find the area of a parellogram we need do base x height so we compare 6 x 6 and 8 x 4 thus making 36 > 32
Step-by-step explanation:
Darren fed his dog 3/4 pound of canned food and 1 1/3 pounds of dry food today. How many pounds of food was that in all?
Answer:
2 1/12 lbs
Step-by-step explanation:
Add the canned and the dry together
3/4 + 1 1/3
Get a common denominator of 12
3/4 *3/3 + 1 1/3 *4/4
9/12 + 1 4/12
1 13/12
1 + 12/12 + 1/12
2 1/12 lbs
Answer:
2 1/12 pounds of food
Step-by-step explanation:
First find the LCM which is 12 and then convert the two fractions into a 12th.
It would be 1 4/12 and 9/12 and then just add.
Can I have Brainliest?
Help me pleaseeeeeee
Answer:
B
it's a recurring number therefore it's irrational
a - 6 - 6a = 4
find the value of a
Answer:
-2
Step-by-step explanation:
a - 6 - 6a = 4
a-6a=10
-5a=10
a=10/-5
a=-2
Answer:
a = -2
Step-by-step explanation:
Add like terms:
a - 6 - 6a = 4
-5a - 6 = 4
Solve for a:
-5a = 10
a = -2
So, a = -2
After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2 inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide. What will the total volume of the wedding cake be?
PLZ HURRY WILL MARK BRAINLIEST
Math problem for high school
Answer:
50/3
Step-by-step explanation:
area of triangle = 10
area of circle = 10
area of triangle + area of circle = 20
The white sector of the circle has central angle 60°.
Its area is 1/6 the area of the circle.
To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.
gray area = 20 - (1/3)10
gray area = 20 - 10/3
gray area = 60/3 - 10/3
gray area = 50/3
Answer:
The white sector of the circle = (1/6) (10) = 10/6 = 5/3
So....the grey area = 10 + 10 - 2 (5/3) = 20 - 10/3 = 60/3 - 10/3 = 50 / 3
MARK BRAINLIEST
The table shows the length and width of Florida at its most distant points.
Determine the prime factorization of the length . Use "^" for the exponent and "x" for the multiplication.
Measurement. Distance (mi)
Length. 500
Width. 160
An example of prime factorization is the following:
Find prime factorization of 50.
1st find the factors of 50 until you only have prime numbers.
1x50
2x25=2x5x5
So the prime factorization of 50 is: 2x5^2
Answer:
5*10^2
Step-by-step explanation:
Length = 500
500= 5 *100
100=10^2
500= 5 *10^2
What is equivalent to -3(-2x + 7)
A. 6x - 21
B. -6x -21
C. 6x + 21
D. 13x
E. 15x
Each floor of a parking garage can hold 90 cars. When all of the floors are full, there are 450 cars in the garage altogether. What fraction of the cars is parked on the ground floor?
90 cars out of 450
90 / 450 = 1/5
I guess the number of floors is 5
solve by factoring
x^2 -10 = 9x
Answer:
(10,0)(-1,0)
Step-by-step explanation:
x^2 - 9x - 10 = 0
(x - 10)(x + 1) = 0
The two solutions are
x - 10 = 0
x = 10
or
x+1 = 0
x = - 1
Answer:
x=10, x=-1
Step-by-step explanation:
Hi there!
We are given this equation:
x²-10=9x
And we want to solve it by factoring
Factoring is easier to do when all of the terms are on the same side, so let's subtract 9x from both sides
x²-9x-10=0
Now we must think of two numbers that add up to -9, but multiply to get -10
Those numbers are -10 and 1
So factor the polynomial using FOIL:
(x-10)(x+1)=0
Now split and solve via the zero product property:
x-10=0
Add 10 to both sides
x=10
x+1=0
Subtract 1 from both sides
x=-1
Hope this helps!
HELP THIS IS DUE TOMRROW ANYWAYS THE QUESTION IS
find the coordinate of the midpoint of a segment with the given endpoints.
-7 and -3
This could be wrong because I'm going into the fifth grade but wouldn't it just be (7,-3)?
A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?
On the set of axes below, draw the graph of the equation y = -3/4x + 3. Is the point (3, 2) a solution to the equation? Explain your answer based on the graph drawn
(3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The graph of the equation is given as y = -3/4x + 3.
We have to find if the point (3, 2) a solution to the equation.
So, we will subtitute the point to to satify the equation;
y = -3/4x + 3.
y = -3/4(3) + 3
y = -9 / 4 + 3
y = 3/3 = 1
Thus, (3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .
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please help me find what equals to x
Find the value of x in the isosceles triangle shown below.
Answer:
sqrt of 41, or A
Step-by-step explanation:
You can cut the iscosles triangle into 2 right triangles as shown on the image, and the base of each will be 4, and the height 5.
The hypotenuse on a right triangle is the square root of the base squared added with the height squared, which would be 16+25, or 41. therefore, X is the sqrt of 41
Answer:
A. x = square root of 41
Step-by-step explanation:
