In the given right angled triangle ABC, right
angled at B. P is the mid-point of AC. Prove that
BP=1/2AC
Answers
The right angled triangle is missing, so i have attached it.
Answer:
Proved below
Step-by-step explanation:
From the attached image, we can see that QP is parallel to BC.
Now, looking at triangles AQP and ABC, we can see that;
∠ AQP = ∠ ABC
Also;
∠ APQ = ∠ ACB
This means that triangles ABC and AQP are similar.
We are told that P is the mid-point of AC.
Thus; AP = PC
We can now say that;
AP:AC = 1:2 and AQ:AB = 1:2
Since AQ:AB = 1:2, it means Q is the midpoint of AB.
Now, ∠ AQP = ∠ BQP
However, according to SAS congruence test, AQP is congruent to BQP.
Thus; AP = BP = CP
Since AP:AC = 1:2 as we saw earlier, then;
BP:AC = 1:2
Thus:
BP/AC = ½
BP = ½AC
Related Questions
HELP!! I'M COMFUSED!
The mass of particle A is approximately 6.5 x 10^-8 grams and the mass of particle B is 8.8 x 10^-27 grams. Approximately how many of particle B have the same mass as one of particle A?
Answers
Answer:
Take the ratio of the 2 numbers:
[tex] \frac{6.5 \times {10}^{ - 8} }{8.8 \times {10}^{ - 27} } = 7.4 \times {10}^{18} [/tex]
This means that it takes 7.4×10^18 particle Bs to equal the mass of particle A.
Can anyone answer what 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 is? Calculators are definitely acceptable, expecting a big number.
Answers
Answer:
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
big number
1 and double the zeros you just type
plz give step by step explanation
Which is a solution to the equation?
3x + y = 2
a) 4
b) (-1,2)
c) (3-5)
d) (1,-1)
Answers
Can Sombody please help real fast?
Answers
Answer:
look at the picture I sent
Select the correct answer from each drop-down menu. Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters. 5 x2 + 3 x = 252 Is it possible for the width of the tray to be 7.5 centimeters?
Answers
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
Complete the square to find the vertex of this parabola
Answers
Answer:
[tex](2,-6)[/tex]
Step-by-step explanation:
[tex]x^2-4x+y+10=0[/tex]
[tex]y=x^2+4x-10[/tex]
[tex]y=-(x^2-4x)-10[/tex]
[tex]=-(x^2-4x+4)-10+4[/tex]
[tex]=-(x-2)^2-6[/tex]
[tex]y=-(x-2)^2+(-6)[/tex]
[tex]h=2 ~and~ k=-6[/tex]
So, vertex → (2,-6)
[tex]------------[/tex]
hope it helps..
have a great day!!
can someone tell me how much is 0,5-⁶?
Answers
Answer:
add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5
Step-by-step explanation:
Choose the right one.
Answers
Answer:
Skewed Right
Step-by-step explanation:
Took the test
Answer:
C
Step-by-step explanation:
a net of a building is show below what is the total surface area of the building block
Answers
Answer:D
Step-by-step explanation:
Answer:
the first or the two
Step-by-step explanation:
Please help!! Pleaseeee
Answers
given the regular polygon what is the measure of each numbered angle
will mark brainliest
70 points
Answers
Answer:
It would be answer A.
Step-by-step explanation:
I used basic analysis.
I looks at the angles and choose which answer looked like it would best fit the angles.
Simplify 4.5km:90m
.
Answers
Answer:
1km=1000m
so 4.5(1000m)/90m
4500m/90m,we eliminate meter by meter
,4500/90=50
Answer:
50
Step-by-step explanation:
1km = 1000 m
4.5 * 1000 = 4500 m
4500/90 = 50/1 = 50 m
ITS DUE TODAY PLS HELP MEEE
Answers
Answer:
x=12
Step-by-step explanation:
10x-18+6x+6=180
16x-12=180
16x=180+12
16x=192
x=192/16
x=12
plz mark as brainliest
The ratio of the areas of two rectangles is 2 to 3. If the area of the larger rectangle is 600 square feet, what is the area of the smaller rectangle?
Answers
Answer:
400sq.ft
Step-by-step explanation:
Let Area of smaller rectangle be x
➝2:3=x:600
➝2/3=x/600
➝2×600=3x
➝3x=1200
➝x=1200/3
➝x=400sq.ft
What is the slope of the line shown below?
AY
10
o
A. 2
(4,8)
B. -2
(2, 4)
C. -4
5
10
15
D. 4
10
Answers
8-4/4-2 = 4/2 = 2
The slope of the line is 2.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the line,
Coordinates are:(2, 4) and (4, 8)
Now,
(2, 4) = (a, b) and (4, 8) = (c, d)
Slope.
= (d - b) / (c - a)
= 8 - 4 / 4 - 2
= 4 / 2
= 2
Thus,
The slope of the line is 2.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
A television screen measures approximately 20 inches high and its diagonal
is 29 inches. What is the width of the TV screen?
Answers
Find the difference of (6x2 + 3x – 5) and (4x² – 2x + 3).
Answers
Answer:
2x^2 + 5x - 8
Step-by-step explanation:
6x^2 + 3x - 5
- (4x^2 - 2x + 3)
--------------------------
2x^2 + 5x - 8
Three rectangular prisms are shown below.
Which statement is true?
The volume of Prism A is less than the volume of Prism C.
Prism B has the greatest volume.
Prism B has a greater volume than Prism C.
Prism B and Prism C have the same volume.
Answers
Answer:
Prism B has a greater volume than Prism C
Step-by-step explanation:
Prism A: 36
Prism B: 30
Prism C: 28
i need help on this question plz and thanku
Answers
Answer:
42 cm cubed
Step-by-step explanation:
6x4x4 to find volume of 96 when it is filled.
3x3x6 = 54 to find out what is cut out.
96-54 = 42 cm cubed.
How do you solve this equation on surds?
Answers
help me plsplsplspslpslpslpslspls
Answers
Answer:
just ask your teacher
Step-by-step explanation:
maybe she can help lol
write the equation of the line that is parallel to the -3x - 6y= 12 and passing the point (1,-8) in standard form
Answers
Answer:
x + 2y = -15
Step-by-step explanation:
simplify -3x - 6y = 12 by dividing a -3 from each term to get:
x + 2y = -4
now put into slope-intercept form to get:
2y = -x - 4
y = -1x/2 - 2
parallel lines have the same slope so we know our answer must have a slope of -1/2
now we can plug (1,-8) into y=mx + b to get the 'y-intercept', or 'b'
-8 = 1(-1/2) + b
-8 = -1/2 + b
b = -7 1/2 or -15/2
we now know the slope and the y-intercept so our answer is:
y = -x/2 - 15/2
re-write in standard form, which is ax + by = c
multiply each term by 2 to get:
2y = -x - 15
add 'x' to each side to get:
2y + x = -15
x + 2y = -15
hey! please help i’ll give brainliest
Answers
Answer: The answer is -ing (D)
Step-by-step explanation:
PLEASE HELP ILL BRAINLIEST YOU PLEASE
Answers
17²-8²=225
√225= 15
therefore both x and y are 15 ft
Answer:
Im not sure but I think its x and y both equal 14.7ft
Step-by-step explanation:
Take this with a grain of salt I dont know if its correct but i hope it helps
an object hangs from a string in a stable position and is represented by the function y=4sin(3x)+4, with time in x seconds. what is the maximum height of the object, and when does it occur on the interval 0
Answers
Answer:
Here we have the position of an object represented by the equation:
y = 4*sin(3*x) + 4
Where we can assume that y represents the height of the object.
We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5
First let's find the maximum height.
y = 4*sin(3*x) + 4
Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:
sin(x) = 1
when x = 90° = pi/2 = 3.14/2
Replacing that in the equation, we get:
y = 4*1 + 4 = 8
The maximum height of the object is 8.
Now, we know that the maximum of the sin(x) function is when x = pi/2
But in our case, we have the function sin(3*x)
Then this function is maximized when:
3*x = pi/2
x = pi/(2*3) = pi/6 = 3.14/6
And:
0 < 3.14/6 < 5
Then the first maximum occurs at x = 3.14/6 = 0.52
But it can happen again on the interval.
The next maximum of the sin(x) function is when:
x = pi/2 + 2*pi
In our case, we again have sin(3*x), then we need to solve:
3*x = pi/2 + 2*pi
x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62
This is also in the interval 0 < x < 5
The next maximum of sin(x) happens at:
x = pi/2 + 2*pi + 2*pi
In our case, for sin(3*x) we need to have:
3*x = (pi/2 + 2*pi + 2*pi)
x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71
This again is in the interval 0 < x < 5
(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)
Then the maximum height occurs at:
x = 0.52
Then occurs again at:
x = 2.62
And finally occurs again at:
x = 4.71
Help me with expressions!
I really need help this is a starr revieww
Answers
Answer:
B, because dividing is the same thing as multiplying by the reciprocal
Step-by-step explanation:
Which scenario is modeled by this graph?
Answers
Answer:
The first option seems about right
Select the solution to the equation.
3+g= 10
Choose 1 answer:
g=6
B
g=7
g = 8
help please!
Answers
Answer:
g = 7
Step-by-step explanation:
subtract 3 from both sides of the equation
3+g=10
-3 -3
g = 10-3
g = 7
PLEASE HELP...
Find the area of the composite shape. Show your work for BRAINLIST and if it’s correct
Answers
Answer:
4+
5+4+2
+2+4+9+3
+3.5+3.5
=99cm
Sorry if i'm wrong, the shape is a bit trippy tbh lol
For this question, you can split up the composite shape into 4 different shapes to find the area more easily:
x3 triangle
x1 square/rectangle
First find the area of the triangles (whilst using pythagorus to find the length of the sides).
Square/rectangle area: 8cm^2
4 x 2 = 8
Upper triangle area: 6cm^2
root5^2 - 4^2 = 3
(3x4)/2 = 6
For the rest of the shapes, gonna make a few assumptions such as that the 4cm length on the bottom square and 4cm length above it share a length of 2cm, sorry if i'm wrong here.
Right triangle area: 2.87..cm^2
root3.5^2 - 2^2 = 2.87...
(2.87..x 2)/2 = 2.87228...cm^2
Left triangle area:
root3.5^2 - 3^2 = 1.802..
(1.802..x3)/2 = 2.704...
Afterwards, add up all the area together.
8 + 6 + 2.87.. + 2.704... = 19.576... approx
what is 2x=16 i to explan it
Answers
Answer:
2x=16
/2 /2
x=8
Step-by-step explanation:
just need to isolate the x, by dividing by two on both sides.
hope this helps :)
Answer:
x=8
Step-by-step explanation:
2x=16
Isolate the variable by diving by 2 on both sides
2x=16
÷2 ÷2
so, x=8