Answer:
3
Step-by-step explanation:
3
ΔBCE is half the base length and two third the height of ΔACF, therefore,
the area of ΔBCE is less than half the area of ΔACF.
The area of triangle ΔBCE is 60 cm².
Reasons:
In ΔACF, we have;
B = The midpoint of AC
Point E and point D are points on side CF
Distance C to D = Distance D to E = Distance E to F
Area of ΔACT = 180 cm²
Required:
Area of ΔBCE
Solution:
[tex]Area \ of \, \Delta ACF = \mathbf{\dfrac{1}{2} \times AC \times CF} = 180 \ cm^2[/tex]
[tex]In \ \Delta BCE, \, BC = \dfrac{1}{2} \times AC \ and \ CE = \dfrac{2}{3} \times CF[/tex]
Therefore;
[tex]Area \ of \ \Delta BCE = \dfrac{1}{2} \times BC \times CE = \dfrac{1}{2} \times \left(\dfrac{1}{2} \times AC \ \right) \times \dfrac{2}{3} \times CF[/tex]
[tex]\dfrac{1}{2} \times \left(\dfrac{1}{2} \times AC \ \right) \times \dfrac{2}{3} \times CF = \dfrac{1}{2} \times \dfrac{2}{3} \times \left(\dfrac{1}{2} \times AC \ \right)\times CF = \mathbf{\dfrac{1}{3} \times Area \ \Delta ACF}[/tex]
Therefore;
[tex]Area \ of \ \Delta BCE = \dfrac{1}{3} \times Area \ \Delta ACF = \dfrac{1}{3} \times 180 = 60[/tex]
The area of triangle ΔBCE = 60 cm².
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Answer:
(A). x ≥ [tex]\frac{16}{5}[/tex] and x ≤ - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ x ≥ [tex]\frac{16}{5}[/tex]
and
12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ x ≤ - [tex]\frac{3}{4}[/tex]
Find the first quartile (Q1) of the data set below.
{99, 88, 88, 91, 92, 100}
89.5
0 95.5
O 88
0.99
which equation represents the line that passes through points (5, 4) and (-5, 0)
The equation should be [tex]y = 2\div 5x + 2[/tex]
Given that,
The points are (5, 4) and (-5, 0)Based on the above information, the calculation is as follows:
here we need to find the slope.
[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]
Now
Put in one point
[tex]4 = 2\div 5(5) + b, b = 2[/tex]
So,
[tex]y = 2\div 5x + 2[/tex]
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In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC. If the measure of segment AB is 8 units, what is the measure of segment segment ED?
triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
3 units
4 units
5 units
6 units
Answer:
4 units
Step-by-step explanation:
The measure of segment ED is 4 units.
Given In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC.
And AB is 8 units.
We have to calculate the length of segment ED.
We know that, The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. This theorem is known as the mid point theorem.
So in ΔCAB, E and D are the midpoint of AC and BC respectively then the length of DE is half of AB which is [tex]\frac{8}{2}[/tex] [tex]=4[/tex] units.
Hence the measure of segment ED is 4 units.
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#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.
Answer:
B), Between 6 and 7, but closer to 7
Step-by-step explanation:
The square root of 44 is around 6.6, so closer to 7
You can prove this by multiplying 6.6 by itself
6.6 x 6.6 = 43.56
Which statement is true about the end behavior of the graphed function?
Answer:
D
As x goes towards neg inf, y goes towards inf
f(−1)=8 and f(5)=6
Write a linear equation in slope intercept form with the values:
9514 1404 393
Answer:
y = -1/3x +(7 2/3)
Step-by-step explanation:
The 2-point form is a good place to start.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -8)/(5 -(-1))(x -(-1)) +8
y = -2/6(x +1) +8
y = -1/3x +(7 2/3)
in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
4:5
Step-by-step explanation:
I'm 99% percent sure this is correct
Answer:
45 is equivelent in ruduces form
Step-by-step explanation:
To reduce this fraction, simply divide the numerator and denominator by 2 (the GCF). So, 810 = 8÷210÷2 = 45.
Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)
Answer:
A'(-1, 6) B'(0, 10) C'(3, 6)
Answer:
I would say it's the first one
calculate the perimeter of this figure to the nearest tenth
Answer:
40.9
Step-by-step explanation:
Perimeter = 8 + 10 + 10 + 4 + 8.9
=> 20 + 4 + 8.9 + 8
=> 32 + 8.9
=> 40.9
This is already in the nearest tenth, so the answer = 40.9
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
solve for x
11x+ 3 = X-7
Answer
x= x/11 - 10/11
Step-by-step explanation:
x over 10 take away 10 over 11
The simple interest earned on a deposit of $3,000 at 6% for 5 years.
A $9.00
B $90.00
C $900.00
D $9,000.00
which of the following equations represents the graph?
A. y = 3/4x - 3
B. y = 3/4x + 4
C. y = 4/3x - 3
D. y = 4/3x + 4
Answer:
D) 4/3 x + 4
Step-by-step explanation:
The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).
The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept
Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.
y2 - y1/x2 -x1
0 - 4/-3 - 0
-4/-3 = 4/3
Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.
The answer is 4/3x + 4.
Answer FAST PLSSS ITS TO HARDD
the answer to this problem is no.
Answer:
No
Step-by-step explanation:
This graph does not represent a function, because it is intersecting y-axis in two points.
SOMEONE PLEASE HELP ME ASAP , ILL PAY JUST HURRY PLEASE
Answer:
pay me first
Step-by-step explanation:
Joe and his friends watched a total of 41 movies this past year. If a typical movie lasts approximately 2 hours,
Answer: He and his friends spent 82 hours of watching movies.
Step-by-step explanation:
Answer:
huh?
Step-by-step explanation:
Which equation represents the line if m=-3/4 and b=2? (1 Point) O y=-2 + 2 x O x + 2 = 12 y = -x + 2 O y = - 2 x - 2
Answer:
y = -3/4x + 2Step-by-step explanation:
Line formula in slope-intercept form:
y = mx + bGiven
m = -3/4, b = 2Then the formula is:
y = -3/4x + 2None of the answer options match this
write 268 in scientific notation
Answer:
2.68 x 10 to the second power
40 POINTS! ASAP!
The second page is answers to choose from.
Answer:
x=3 ; y=square root of 3
Step-by-step explanation:
Answer: The First Choice at the Top
Step-by-step explanation:
Why? Because if x,y, and [tex]\sqrt[]{3}[/tex] are the three lines with a 30 Degree angle, the best guess would be the First Choice if x is [tex]\sqrt[]{3}[/tex] and Y is 3.
What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
Find the equation of the line shown below.
A. y = –0.2x + 2
B. y = –5x + 2
C. y = 0.2x + 5
D. y = 5x + 2
Answer:
y= -0.2x+2
Step-by-step explanation:
I'm may be wrong but if you graph it I used desmos
that's the only one that matches
Two semicircles are placed in a rectangle, as shown below. The length of the rectangle is 48. And do not round your answer. Be sure to include the correct unit in your answer.Find the area of the shaded region. Use the value 3.14 for , a
Answer and Step-by-step explanation:
Firstly, we should note that the rectangle given is a square. This is because, the diameter of the semicircle is the same horizontally and vertically
Since the length of the rectangle is 48, it means the radius of each semi circle is 24.
The area of one semicircle will be:
0.5πr²
Where r = 24 and π = 3.14
0.5 x 3.14 x 24 = 37.68 square units
Since we have two semicircles, then the area of both will be:
37.68 x 2 = 75.36 square units.
To find the area shaded portion. Since I cannot see the diagram, there are two possibilities. If the shaded potion is just the two semicircles, then the area is 75.36 square units. But if the shaded portion is what ever remains after taking out the semicircles, then the area would be:
48² – 75.36 = 2133.64 square units.
I want the answer the the problem
Answer:
The length of the segment GI is 30.5 units
Step-by-step explanation:
In any triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In ΔFHJ
∵ G is the mid-point of the side FH
∵ I is the mid-point of the side JH
∵ FJ is the 3rd side of the triangle
→ From the rule above
∴ GI // FJ
∴ GI = [tex]\frac{1}{2}[/tex] FJ
∵ FJ = 61 units
∴ GI = [tex]\frac{1}{2}[/tex] (61)
∴ GI = 30.5
∴ The length of the segment GI is 30.5 units
nk + x = 10 solve for n
Answer:
n=10/k - x/k
Step-by-step explanation:
Hope this helps
Answer:
n = (10 - x) / k
Step-by-step explanation:
nk + x = 10
nk = 10 - x
n = (10 - x) / k
what is 10(n−2p+2) because i dont know the answer
10n - 20p + 20
could i get a heart and branliest
Answer:
10n-20p+20
Step-by-step explanation:
10(n-2p+2)
n(10)-2p(10)+2(10)
10n-20p+20
Plz help me with this
Answer
C
Step-by-step explanation:
open circle means not included
Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, how many weeks will she have to save to buy the dress?? PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST!!!
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
What does it mean for a line to have an undefined slope?
Answer:
it means it is a vertices line and the x coordinates never change
Step-by-step explanation:
On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on this information, predict the day on which the Moon's surface is 50% illuminated and 100% illuminated.
illuminated.
PLEASE HELPPPPPPP!!!!!!!!!!!
Answer:
Day 13= 50%
Day 26=100%
Step-by-step explanation:
Answers vary. Sample response: A simple approach is to attempt a linear model starting at Day 1. If the illumination is increased by 4% every day, then after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%. This gives a prediction of Day 13 for 50% and Day 26 for 100%.
The days where it is illuminated is Day 13= 50% and Day 26=100%
Linear model:Here A simple approach should be considered for linear model that begins at Day 1. In the case when the illumination is increased by 4% every day, so after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%.
Therefore, we can conclude that The days where it is illuminated is Day 13= 50% and Day 26=100%
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