Answer:
(i)
Given
∠BED = ∠BACAlso we see that
∠ABC = ∠DBE as refer to same angleSince two angles of triangles are congruent, the triangles are similar by AA similarity postulate
ΔABC ~ ΔEBD(ii)
In similar figures corresponding parts have same ratio. Use ratios to find the value of x:
AB/EB = AC/ED12/8 = x / 4x = 4*12/8x = 6 cmState if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule
Answer:
c) similar by the AA rule
Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
Answer:
2 seconds
Explanation:
I had to do this assignment that's the correct answer
1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*
Answer:
60%
Step-by-step explanation:
Possible numebrs that can be picked are 1,2,3,4,5
The only odd numbers are 1,3,5
3 odd numbers out of 5 possible numbers
3/5=0.6=60%
Help me find the answer
Tan 0 and Cot O
Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1
how to do this question
9514 1404 393
Answer:
7 days
Step-by-step explanation:
(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.
n=2
1.8 = A₀·b²
n=3
2.4 = A₀·b³
Dividing the second equation by the first gives ...
2.4/1.8 = (A₀·b³)/(A₀·b²) = b
4/3 = b
__
(b) Substituting this into the first equation, we can find A₀.
1.8 = A₀·(4/3)²
1.8(9/16) = A₀ = 1.0125
A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.
__
(c) The area will be 7 cm when ...
1.0125·(4/3)^n = 7
(4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀
n·log(4/3) = log(7/1.0125) . . . . . . take logarithms
n = log(7/1.0125)/log(4/3) ≈ 6.72092
It will take about 7 days for the area of the patch to exceed 7 cm.
Which of the following expressions is this one equivalent to?
(x4 – 2x3 – x+2) / (x3 - 1)
A. X-2
O B. x2-1
O c. x2+x+1
O D. x2 + 3x + 2
Answer:
option A
Step-by-step explanation:
(X - 2) is the answer
hope it helps
If the area of a circle is 78.5 cm2, what is the circumference of the circle? Use 3.14 for
Answer:
25
Step-by-step explanation:
you might wanna use a calculator
What is the slope-intercept equation for the following line?
Answer:
y = 2x + 7
Step-by-step explanation:
ALgebra is my best subject! Have a good day!
Which linear equation represents the table shown below?
~ y=6x+2
~ y=x+4
~ y=4x+2
~y=4x-2
I need help I don’t understand
Answer:
x = 9
Step-by-step explanation:
By the property of intersecting secants:
[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]
Calculate the area of the shape below:
6 in
6 in
12 in
O 54 in?
0 432 in?
O 216 in
O 108 in?
Answer:
54
Step-by-step explanation:
The square in the middle = 36, as 6x6=36
There are 2 triangles on each side of the center square.
Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.
3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2
18x1/2 is 9.
Each triangle equals 9.
36+9+9=54
The final answer is 54
SOMEONE PLEASE HELP MEEE!!!
Answer: 1080
Step-by-step explanation:
Heres why:
SA is L*W*H as the same formula as volume.
x-y=4
What is the slope and Y Intercept?
Answer: m is the slope and b is the y-intercept.
Step-by-step explanation:
it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .
A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
1/5, 0.25, 20.5%, 4/25, 0.22
Answer 22%
Step-by-step explanation:
Answer:
so I guess I have to put those numbers in a order.
smallest to largest:
4/25, 1/5, 20.5%, 0.22, 0.25
largest to smallest:
0.25, 0.22, 20.5%, 1/5, 4/25
Step-by-step explanation:
1/5 = 0.2
20.5% = 0.205
4/25 = 0.16
Have a nice day!
What is 2/5 divided by 4
the answer to the question is 0.1
Answer:
1/10 or 0.1
Step-by-step explanation:
You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.
Please help due soon!!
Answer: [(3/4)π] in² or (0.75π) in²
Step-by-step explanation:
Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)
--------------------------------------------------------------
Given
r=3 in
θ=30°
Solve
A=πr²(θ/360)
A=π(3)²(30/360)
A=9π(1/12)
A=[(3/4)π] in²
A=(0.75π) in²
Hope this helps!! :)
Please let me know if you have any questions
Find a formula for an arithmetic sequence that begins 80, 83, 86, 89, ...
Answer:
[tex]a_{n}[/tex] = 3n + 77
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then
[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
Answer is option B.
[tex] \frac{ - 1}{ 25 } [/tex]
Explanation:
5 to the power -2 can be written as
[tex] {( {5}^{2})}^{ - 1} [/tex]
which will be
[tex] {25}^{ - 1} [/tex]
which will be
[tex] \frac{ - 1}{ 25 } [/tex]
What is the formula base x height =area like what is that shape of base x height =area
Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.
Step-by-step explanation:
hi i need help with this question asap ty ty ty!!!
Can you answer this please. NO LINKS
Answer:
The answer selected is correct
Step-by-step explanation:
Name two triangles that are congruent by ASA.
Answer:
correct
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate:
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
<C = <G
CA = GD
<A = <D
Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.
Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.
look at png sorry i need to type 20 characters but the chart explains everything
simplify your answer but adding/subtracting like terms
Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?
Answer:
Total Money= $250
Fence Price=$22.50/m
Metres can buy= $250/22.50= 11.11 metres
Is this correct please help
Which of the following is not an integer? I need help!
0.54
0
-45
17
Answer:
0.54
Step-by-step explanation:
An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.
In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?
Answer:
Q'R'
Step-by-step explanation:
Given
Quadrilateral PQRS
Reflected over x-axis
Required
Congruent side to QR
This question has a missing attachment, but can still be solved without the attachment.
When a shape is reflected, the sides and the angles of the shape remain unchanged.
This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.
[tex]PQ = P'Q'[/tex]
[tex]QR = Q'R'[/tex]
[tex]RS = R'S'[/tex]
[tex]SP = S'P'[/tex]
Hence, QR will be congruent to Q'R'
Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.