Step-by-step explanation:
first, you use the pythagorean theorem to find the missing side of the original and big triangle.
[tex]20 {}^{2} + 15 {}^{2} [/tex]
next, you simplify these into actual numbers
[tex]400 + 225[/tex]
after, you add these numbers together and find the square root.
[tex]\sqrt{625} = 25[/tex]
you have the answer for AC. next you need to find BD. of you line up BC with BD, BC would be longer, , so you know its shorter, but not by much, so I'd assume to guess like 13 for BD- that's just me- but I'm not sure how to exactly find it.
The requried Measure of the BD and AC in the given question is 17.32 and 25 respectively.
What is the geometric mean theorem?The geometric mean theorem for a right triangle states that the length of the altitude (height) to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.
Here,
From the triangle, following the Geometric mean theorem,
BD = √[AB×BC]
BD = √[20×15]
BD = √17.32
Now,
Applying the Pythagorean theorem to find AC,
AC = √15² + 20²
AC = 25
Thus, the requried Measure of the BD AC in the given question is 17.32 and 25 respectively.
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What is the HCF of 108 and 270?
Answer:
gcf, hcf, gcd (108; 270) = 54 = 2 × 3^3: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.
Step-by-step explanation:
Hope this helps :)
The highest common factor (HCF) of two given numbers is 54.
What is the highest common factor?The largest number among all the common factors of the provided numbers is the GCF or HCF of two or more numbers. Their GCF is the largest integer that can be used to divide the two natural integers x and y without leaving any remainders.
The given numbers are 108 and 270.
The prime factors of the numbers 108 and 270 are
108=2×2×3×3×3
270=2×3×3×3×5
So, HCF is 2×3×3×3=54
Therefore, HCF of 108 and 270 is 54.
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billy stacked 1 inch by 1 inch plastic blocks on his desk. he created a small wall. what is the volume of the wall of which he created?
Answer:
5
Step-by-step explanation:
conducting all dl dm dm dl k dl lwhat
Identify the Greatest Common Factor (GCF) of: 2x^2-10x -28
a. 2x
C. 5x
b. 2
d. -14
Answer:
b. 2
Step-by-step explanation:
All the terms are even numbers. They don't all have x.
can someone help me please
True or false
Answer:
True
Step-by-step explanation:
Please help!!!part a
Answer:
b = 76°
Step-by-step explanation:
Hi there,
It is important to know that the sum of all the angles in any triangle equals 180°.
For this problem, we can write the following equation:
32° + 72° + b° = 180°
104° + b° = 180°
b° = 76°
Hope my explanation helps. Cheers.
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
they are not congruent
Step-by-step explanation:
the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.
Please! I need it ASAP. Please prove it. I promise to mark the BRAINLIEST
Answer:
We know that:
PQ = p - qAlso:
PA = p - aWe are given:
PA = 1/6PQ ⇒ PQ = 6 PACompare the values of PQ
p - q = 6(p - a)p - q = 6p - 6a6a = 6p - p + q6a = 5p + qa = 1/6(5p + q)Proved
Question 17
In a bag of trail mix, there is a ratio of 3 scoops of granola, 2 scoops of chocolate chips, and 1 scoop of pean
How many scoops of chocolate chips and peanuts will he need to keep the ratio equivalent?
A
17 scoops of chocolate chips and 16 scoops of peanuts
B
12 scoops of chocolate chips and 6 scoops of peanuts
с
8 scoops of chocolate chips and 7 scoops of peanuts
D
2 scoops of chocolate chips and 1 scoop of peanuts
Answer:
12 scoops of chocolate chips and 6 scoops of peanuts
Step-by-step explanation:
4x (12 - 5y + z)
I need help with this
Answer:
-20xy + 4xz + 48x
Step-by-step explanation:
Just Distribute :)
Answer:
48x-20xy+4xz
Step-by-step explanation:
You need to distribute the 4x to the rest of the equation so the equation will become 48x-20xy+4xz, this is because 4x * 12 = 48x and 4x*-5y =-20xy and it's xy because x comes before y in the alphabet and then lastly 4x * z same thing it's gunna be xz, so the answer is 48x-20xy+4xz.
Graph the function.
g(x)=1/2•2^x someone please help me
Answer: (0,1/2) (1,1)
Step-by-step explanation:
1/2 x 2^0 = 1/2
1/2 x 2^1 = 1
Exponential Growth
Solve for the length of x.
Answer:
67.214 is the value of x
Hope it helps!!!
The equation y=21.2x represents Austin's earnings in dollars and cents, y,
for working x hours. Find the rate of change.
Given:
The equation is
[tex]y=21.2x[/tex]
Where, y is earnings for working in dollars and cents and x is the number of working hours.
To find:
The rate of change.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=21.2x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=21.2[/tex]
Therefore, the rate of change is 21.2 dollar and cents per hour.
Is it possible to add the data for an additional hike to the line plot so that the range increases but the median does not change?
Answer:
Not possible
Step-by-step explanation
Range is the difference between the highest and lowest data value in a data set. It is used to define the spread on data on the graph. Higher the range higher will be spread of data.
Whereas median is the middle value(odd number of data values) or average of the middle values(even number of data values) in a data set.
Therefore, adding an additional data value will surely change range( increase in case, the value is higher than other values) at same time it will also effect the median of the data set. So, it not possible to add the data for an additional hike to the line plot so that the range increases but the median does not change
Find the solution of the system of equations.
-6x-10y=-18 -3x+10y=36
Answer:
problem one
x = 3- 5y/3
y = 9/5 - 3x/5
problem 2
x= -12 + 10y/3
y= 18/5 + 3x/10
Step-by-step explanation:
Is 2/5 and 20/100 equivalent?
is 3/6 and 50/100 equivalent?
150/600 and 40/100 equivalent?
Answer:
Is 2/5 and 20/100 equivalent? No
is 3/6 and 50/100 equivalent? Yes
150/600 and 40/100 equivalent? Yes
Step-by-step explanation:
WILL GIVE BRAINLIEST! NEED INSTANT HELP!
The distance s, in feet, that an object will fall in t seconds is given by the formula
s = 16t2 + vt,
where v is the initial velocity of the object in feet per second.
Find the initial velocity of an object that falls 96 ft in 2 s.
ft/s
Answer:
Step-by-step explanation:
monke is monke is smart monke rip banana apart s=16
HEEEEEEEEELLLLLLLLLLLLLLPPPPPPPPPPPPPPPP
Answer:
∠10 + 12(3) = 46°
∠15(3) + 1 = 46°
Step-by-step explanation:
the angles are equal because they are corresponding angles
(10+12x) = (15x+1)
reduce:
3x = 9
x = 3
10 + 12(3) = 46°
15(3) + 1 = 46°
Please make sure the answer is right I only have 6 questions help?
Answer:
i told you the answer is -8
Answer:all
recall that the inside angles of a triangle add up to 180
Step-by-step explanation:
now add up all the angles and make it equal to 180 :)
as follows
X+58+45+85 = 180
now use algebra ... and solve for X :)
X = 180-58-45-85
my calculators tells me....
X = -8
what does that answer mean?
it's saying ... like this 58-8 is that angle.. does that help ? :)
Please give me the correct answer.Only answer if you're very good at math.
Answer:
1/2 is the slope
Step-by-step explanation:
Slope is rise over run
it goes up 1 and across 2
therefore the slope is 1/2
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]slope = \frac{rise}{run} = \frac{1}{2}[/tex]
what breakdown protein products
a.urea
b. carbon dioxide
c. water
d. oxygen
Answer:
b carbon dioxide yan nag answer
The sum of 2 numbers is 27. The larger number is 3 times more than the smaller number. What are the numbers?
Answer:
The first number is 6.75
The second number is 20.25
Step-by-step explanation:
I went into decimals
can anyone answer this?
Answer:
C
Step-by-step explanation:
Answer:
(3,4), (4,-3)
Step-by-step explanation:
When finding a point on a graph, do the x-axis first, then the y-axis. For this equation, move three to the right on the x-axis, then move upward 4 times to get to the point. Or move up 4 times, then 3 to the right. Hope this helps!
f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3 2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3
Answer:
im confused. what math structure is this
3x-y=2
2x-y=3
Solve with elimination
Answer:
5
Step-by-step explanation:
{
3x−y=2
2x−y=3
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x−y=2,2x−y=3
Subtract 2x−y=3 from 3x−y=2 by subtracting like terms on each side of the equal sign.
3x−2x−y+y=2−3
Add −y to y. Terms −y and y cancel out, leaving an equation with only one variable that can be solved.
3x−2x=2−3
Add 3x to −2x.
x=2−3
Add 2 to −3.
x=−1
Substitute −1 for x in 2x−y=3. Because the resulting equation contains only one variable, you can solve for y directly.
2(−1)−y=3
Multiply 2 times −1.
−2−y=3
Add 2 to both sides of the equation.
−y=5
Divide both sides by −1.
y=−5
The system is now solved.
x=−1,y=−5
ООО
Find the coordinates of the image's vertices.
6. A triangle with vertices ((-2,4), M(-2, 8), and N(-6, 4) is rotated 90° counterclockwise about the origin.
a. L'(-2,-4), M'(-2, -8), and N'(-6,-4)
b. LT-4,2), M (-8,2), and NY-4, 6)
c. L'44,-2), M'(-8,-2), and N'Y 4, 6)
d. L(4-2), M'(8,-2), and N (4-6)
The coordinates of the triangle after the rotation is L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔLMN
L ( -2 ,4 ) , M ( -2 , 8 ) , and N ( -6 , 4 )
Now , the rotation angle is = 90° counterclockwise about the origin
Let the coordinates of the rotated triangle be ΔL'M'N'
where , 90° counterclockwise rotation: (x,y) becomes (-y,x)
So , L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )
Hence , the rotated triangle is L' ( -4 , -2 ) , M' ( -8 , -2 ) and N' ( -4 , -6 )
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9 oz = ____ lb as a fraction
18 oz=____ lb as a fraction
will vote most brainliest
Answer:
9 oz=0.5625 lbs.
18 oz=1.125 lbs.
Step-by-step explanation:
SOMEONE HELP ME I NEED IT
Answer: (D)
your answer will be 3
Step-by-step explanation:
have a nice day
Answer:
D) 3
Step-by-step explanation:
[tex]y+\frac{y-3}{3}[/tex] |
[tex]\frac{4y-3}{3}[/tex]
[tex]\frac{3y+(y-3)}{3}[/tex] |
[tex]\frac{15+18}{27y}[/tex]
[tex]\frac{3y+y-3}{3} = \frac{4y-3}{3} *\frac{27y}{33}[/tex]
[tex]\frac{4y-3}{3}[/tex]
[tex]\frac{(4y-3)(27y)}{3x33}[/tex]
Common denominator:- 3
✧༝┉┉˚*❋ ❋ ❋*˚┉┉༝✧
hope it helps...
have a great day!!
PLEASE HURRY which expression is equivalent to -6(-2/3 + 2x)
Answer:
It's 4-12x
Step-by-step explanation:
I need to solve for x btw these are corresponding angles
Step-by-step explanation:
As we know corresponding angles are equal so
6x - 100° = 2x + 4° < being corresponding angles>
6x - 2x = 100 ° + 4°
4x = 104°
x = 104° / 4
x = 26°
Hope it will help :)❤
I don’t know how to do this someone help plz
Answer:
A
Step-by-step explanation:
Cos 0= 2/3
0=2nd function of cos2/3= 48.189°
=48°