Complete question is;
In the triangles attached , DF is congruent to MN,DG is congruent to MP, angle D is congruent to angle P. Can you prove that triangle DFG is congruent to MNP.
Answer:
Proved below
Step-by-step explanation:
From the attached triangles, we can see that;
∠D corresponds to ∠M
∠F corresponds to ∠N
∠G corresponds to ∠P
But we are told that ∠D is congruent to ∠P. Thus, since we have 2 other congruent sides in the triangles, we can conclude that Side-Angle-Side Postulate (SAS) congruency theorem that triangle DFG is congruent to MNP.
Find the volume of the following figures.
Answer:
Solution given:
radius [r]=3ft
height[h]=5ft
Volume of cone=⅓*πr²h
$ubstitute value
Volume of cone =⅓*3.14*3²*5=47.1ft²
Volume of cone is 47.1ft²
-2/3a+5/6a-1/5a-1/6
Answer:
[tex]\frac{-1}{30} a - \frac{1}{6}[/tex]
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
1.11
Step-by-step explanation:
Slope of a line = (y2 - y1)/(x2-x1) = (100 - 0)/(90-0) = 100/90 = 10/9 = 1.11
Which statements are correct? Check all that apply.
Answer:
e s r
Step-by-step explanation:
Multiply. (Use photo). Enter your answer in simplest radical form.
Answer:
72√2
Step-by-step explanation:
3√2 × 2√8 × √3 × √6
The above can be simplified as follow:
3√2 × 2√8 × √3 × √6
Recall
a√c × b√d = (a×b)√(c×d)
3√2 × 2√8 × √3 × √6 = (3×2)√(2×8×3×6)
= 6√288
Recall
288 = 144 × 2
6√288 = 6√(144 × 2)
Recall
√(a×b) = √a × √b
6√(144 × 2) = 6 × √144 × √2
= 6 × 12 × √2
= 72√2
Therefore,
3√2 × 2√8 × √3 × √6 = 72√2
A composter in the shape of a rectangular prism with dimensions 1.5 m by 1.2 m by 1.0 m is made from plywood. What area of plywood is needed to build the composter if it consists of a bottom, lid, and four walls?
Answer:
4 wall each 103 cmm
Which of the following is equiangular and equilateral?
A. rhombus
B. square
C. rectangle
D. parallelogram
Please select the best answer from the choices provided
Answer:
Square
Step-by-step explanation:
In a square,
All the four angles are equal. Each angle = 90.
All the four sides are equal.
Fill in the following statements.
DE ||
2DE =
Answer:
DE ║ BC
BC = 2(DE)
Step-by-step explanation:
From the picture attached,
AD = DB [Given]
AE = EC [Given]
Therefore, points D and E will be the midpoints of the sides AB and AC.
By midsegment theorem,
Segment joining midpoints of the two sides of a triangle is parallel and measures the half of the third side of the triangle.
DE ║ BC
DE = [tex]\frac{1}{2}(BC)[/tex]
BC = 2(DE)
3(x+5)-7=2(x+2) this is x, not multiplication and I really need the answer thanks
Lets do
[tex] \\ \sf \longmapsto \: 3(x + 5) - 7 = 2(x +2) \\ \\ \sf \longmapsto \: 3x + 15 - 7 = 2x + 4 \\ \\ \sf \longmapsto \: 3x + 8 = 2x + 4 \\ \\ \sf \longmapsto \: 3x - 2x = 4 - 8 \\ \\ \sf \longmapsto \: x = - 4[/tex]
helppppppppppppppppppppppppppppppppppppppppppp
Step-by-step explanation:
here's the answer to your question
find the measure of acute angle of a right angle triangle when one angle is 60°
Answer:
30 degrees.
Step-by-step explanation:
Let the acute angle be x.
Then as the 2 acute angles in a right triangle sum to 90 degrees,
x = 90 - 60
= 30.
We used the information we know to give us this equation.
90°+60°+x=180°
We add 90° and 60° to give 150°
150°+x=180°
x must therefore be 30°halp it has to do with volume, please and thank u.
Answer:
Step-by-step explanation:
Small cone:
r = 4 mm
h = 8 mm
Volume of small cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
[tex]=\frac{1}{3}*\pi *4*4*8\\\\=\frac{128}{3}*\pi \ mm^{3}[/tex]
Bigger cone :
r = 8 mm
h = 16 mm
Volume of bigger cone = [tex]\frac{1}{3}*\pi *8*8*16[/tex]
[tex]= \frac{1024}{3}\pi \ mm^{3}[/tex]
Volume of the space = Volume of bigger cone - volume of small cone
[tex]= \frac{1024}{3}\pi-\frac{128}{3} \pi \\\\=\frac{896}{3}*\pi \\\\= \frac{896}{3}*3.14\\\\= 937.81 \ cm^{3}[/tex]
The value of 9.6 x 10000 lies between
a) 800 and 900
b)300 and 400
c) 80 and 90
d) 30 and 40
Answer:
option A is write answer
I hope you help
Answer:
none of these
Step-by-step explanation:
it's 96000 so none
Please I need some help!
Answer:
A
Step-by-step explanation:
A compressed by a factor of 1/4 in the y or vertical direction
ZEFG and ZGFH are a linear pair, mZEFG = 2n + 16, and mZGFH = 3n+24. What are mZEFG and mZGFH?
mZEFG =
Answer:
m<EFG = 72°
m<GFH = 108°
Step-by-step explanation:
m<EFG = 2n + 16
m<GFH = 3n + 24
Linear pairs are supplementary, therefore,
m<EFG + m<GFH = 180°
Substitute
2n + 16 + 3n + 24 = 180
Add like terms
5n + 40 = 180
5n + 40 - 40 = 180 - 40 (subtraction property of equality)
5n = 140
5n/5 = 140/5 (division property of equality)
n = 28
✔️m<EFG = 2n + 16
Plug in the value of n
m<EFG = 2(28) + 16 = 72°
✔️m<GFH = 3n + 24
Plug in the value of n
m<GFH = 3(28) + 24 = 108°
What is a graph of g(x)=(2/3)x-2?
The graph above or below should answer the question.
Find the midpoint of (-3,-5) and (6,-5).
Answer:
The midpoint is (1.5, -5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
( -3+6) /2 = 3/2 = 1.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
( -5+-5) /2 = -10/2 =-5
The midpoint is (1.5, -5)
Hi!
[tex]A=(-3,-5) \ and \ B=(6,-5)\\\\Medium \ point=(\frac{-3+6}{2};\frac{-5+(-5)}{2})=\boxed{(\frac{3}{2};-5)}[/tex]
Solve the given system using your choice of either graphically or algebraically. Show and explain all work. y + 2x = 2 y + 2 = 2x
Answer: x=1 and y=0
Step-by-step explanation:
y+2x=2x
y=2x-2x
y=0
2x=2. X = 2/2
X=1
Answer:
x=1 y=0
Step-by-step explanation:
y + 2 = 2x y = 2x - 2
y + 2x = 2
(2x - 2) + 2x = 2
4x = 4
x = 1
y + 2 = 2(1)
y + 2 = 2
y = 0
Need help with this question.
it is about complex numbers. WIll mark brainliest to the best answer. Thank you
The value of m for the complex number to be purely real are 3 and -5.
The value of m for the complex number to be purely imaginary are -2 and 3.
For the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.
Given the complex number:
[tex]z=\frac{m^2-m-6}{m+3}+(m^2-2m-15)i[/tex]
a) For the complex number to be purely real, then the imaginary part of the complex number must be zero that is:
[tex](m^2-2m-15)i = 0\\m^2-2m-15=0[/tex]
Factorize
[tex]m^2+5m-3m-15=0\\m(m+5)-3(m+5)=0\\(m-3)(m+5)=0\\m-3=0 \ and \ m+5=0\\m=3 \ and \ m=-5[/tex]
Hence the value of m for the complex number to be purely real are 3 and -5.
b) For the complex number to be purely imaginary, then the real part of the complex number must be zero. Hence;
[tex]\frac{m^2-m-6}{m+3}=0 \\m^2-m-6=0[/tex]
Factorize
[tex]m^2-m-6\\m^2-3m+2m-6=0\\m(m-3)+2(m-3)=0\\(m+2)(m-3)=0\\m+2=0 \ and \ m-3=0\\m=-2 \ and \ m = 3[/tex]
Hence the value of m for the complex number to be purely imaginary are -2 and 3.
c) For the complex number to be in the second quadrant, then the ratio of y to x must be negative i.e less than zero as shown:
[tex]\frac{m^2-2m-15}{\frac{m^2-m-6}{m+3} } < 0\\ \frac{m^2-2m-15(m+3)}{{m^2-m-6} }\\ \frac{(m+3)(m-5)(m+3)}{{(m-3)(m+2)} } <0\\(m+3)(m-5)(m+3) <0\\m+3<0, m-5<0 \ and \ m+3<0\\m<-3 \ and \ m<5[/tex]
Hence for the complex number to be located in the second quadrant, the value of m must be less than -3 and 5.
Solve for x: 2(5x + 9) = 78
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
2(5x+9)=7810x+18=7810x=78-1810x=60[tex]\sf{ x=\dfrac{60}{10} }[/tex] x=6What is the equation of the line of reflection? please help, due in 30 minutes!!!
Answer:
The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.
Step-by-step explanation:
Answer:
The line of reflection in [tex]y=mx+b[/tex] form is [tex]y=\frac{1}{3} x-2[/tex]
Step-by-step explanation:
find the sum or difference of the polynomials. Write your answer in descending
order.(3x2 – 3x+6) - (5x2 + 2x + 9)
Answer:
-2x^2-5x-3
Step-by-step explanation:
(3x^2 – 3x+6) - (5x^2 + 2x + 9)
Distribute the minus sign
(3x^2 – 3x+6) - 5x^2 - 2x - 9
Combine like terms
3x^2 -5x^2 -3x-2x +6-9
-2x^2-5x-3
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the
object's height s at time t seconds after launch is s(t) = - 4.9t2 + 19.6t + 58.8, where s is in meters. Create a
table of values and graph the function. Approximately what is the maximum height that the object will get?
O 76.4 meters
113.5 meters
O 78.4 meters
58.8 meters
Answer:
Step-by-step explanation:
The easiest way to do this is to complete the square on the quadratic. This allows us to see what the vertex is and answer the question without having to plug in a ton of numbers to see what the max y value is. Completing the square will naturally put the equation into vertex form:
[tex]y=-a(x-h)^2+k[/tex] where h will be the time it takes to get to a height of k.
Begin by setting the quadratic equal to 0 and then moving over the constant, like this:
[tex]-4.9t^2+19.6t=-58.8[/tex] and the rule is that the leading coefficient has to be a 1. Ours is a -4.9 so we have to factor it out:
[tex]-4.9(t^2-4t)=-58.8[/tex] Now take half the linear term, square it, and add it to both sides. Our linear term is a -4, from -4t. Half of -4 is -2, and -2 squared is 4, so we add a 4 to both sides. BUT on the left we have that -4.9 out front there as a multiplier, so we ACTUALLY added on to the left was -4.9(4) which is -19.6:
[tex]-4.9(t^2-4t+4)=-58.8-19.6[/tex] and now we have to clean this up. The right side is easy, that is -78.4. The left side...not so much.
The reason we complete the square is to create a perfect square binomial, which is the [tex](x-h)^2[/tex] part from above. Completing the square does this naturally, now it's just up to us to write the binomial created during the process:
[tex]-4.9(t-2)^2=-78.4[/tex] Now, move the constant back over and set the equation back equal to y:
[tex]-4.9(t-2)^2+78.4=s(t)[/tex] and we see that the vertex is (2, 78.4). That means that 2 seconds after launch, the object reached its max height of 78.4 meters, the third choice down.
can someone help me get the answer to this
Answer:
6=b
Switch sides
b=6
Answer:
a=10 and b=6
Step-by-step explanation:
it is in picture
Please mark me as brainliest
Make p the subject of this formulae q-2p=p+4
Answer:
f(p)=3p+4
Explanation:
Find the area of the figure.
Answer:
626.625
30*15 + [tex]\pi (7.5)^{2}[/tex]
450 + 176.625 =
Step-by-step explanation:
help me with this...
Answer:
I think angle B is the longest and angle C is shortest.
If this is incorrect forgive me plz
Answer: See below
Step-by-step explanation:
Randy has to raise $50.00 to repair his bicycle. He is only $1.00 short. He has only $1 and $5 bills. If he has one more $1 bills than $5 bills, how many does he have of each?
Answer:
Randy has eight $5 bills and nine $1 bills
Step-by-step explanation:
Randy needs $50.00
And we know that he his only $1.00 short, so he has $49.00
let's define:
x = number of $1 bills that he has
y = number of $5 bills that he has.
then:
x*$1 + y*$5 = $49
We know that he has one more $1 bills than $5 bills.
we can write this as
x = y + 1
So we have a system of two equations and two variables:
x*$1 + y*$5 = $49
x = y + 1
First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:
x*$1 + y*$5 = $49
(y + 1)*$1 + y*$5 = $49
now we can solve this for y.
y*$1 + $1 + y*$5 = $49
y*($1 + $5) = $49 - $1 = $48
y*$6 = $48
y = $48/$6 = 8
He has 8 $5 bills
and we know that:
x = y + 1
x = 8 + 1 = 9
he has 9 $1 bills.
The vertex of this parabola is at (-3,-2). Which of the following could be its equation?
Answer:
B x = -2(y+2)^2 -3
Step-by-step explanation:
The vertex form of a sideways parabola is
x = a(y-k)^2+h where (h,k) is the vertex and a is a constant
x = a(y--2)^2 -3
x = a(y+2)^2 -3
B is the only option with +2 and -3in the proper postion
x = -2(y+2)^2 -3
Albert, Imran and Siti invested $427000, $671000 and $305000 in a property respectively and they agreed to share the profitable n the ratio of their investments. After a few years, they sold the property for $1897500. Find the profit each of them received.
Answer:
1757200Step-by-step explanation:
42000+67000+305000=1403000(1897500-140300=1757200
The profit each of them received is $150500,$236500 and $107500
It is given that Albert, Imran and Siti invested $427000, $671000 and $305000 in a property respectively and they agreed to share the profitable n the ratio of their investments. After a few years, they sold the property for $1897500, we have to find the profit each of them received
What is Profit?
Profit= Selling Price - Cost price
Total Investment= $427000+$671000+$305000
=$1403000
Profit=$1897500-$1403000=$494500
Profit share=(Investment/Total Investment)*Total Profit
Albert Profit=($427000/$1403000)*$494500=$150500
Imran Profit=($671000/$1403000)*$494500=$236500
Siti Profit=($305000/$1403000)*$494500=$107500
Therefore profit each of them received is $150,500, $236500, $107500
To know more about profit click here:https://brainly.com/question/15036999
#SPJ2
