Answer:
d
Step-by-step explanation:
In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is the area of quadrilateral BHGE if the area of ABCD is 60?
Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8. What is the length of Line segment B C?
Answer:
A
Step-by-step explanation:
A
Answer:
an altitude
Step-by-step explanation:
its is correct
Pls hurryyy up I need it now....... A translation moves point V(-2, 3) to V (-2,7). Which are true statements about the translation?
The point moves two units left and four units up.
The transformation rule is (x,y) →(x+0.y+4)
The transformation is a vertical translation.
The image is four units to the left of the pre-image.
The translation can be described as (x,y) → (x-2.y+7)
Answer:
Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference? Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250. Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90. No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. No, Mr. Hernandez’s sample is not large enough compared to the population.
Answer:
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Step-by-step explanation:
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.
90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.
so, the percent of students who love social studies is given by:
28/90 x 100=31.11%
He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Answer:
C on EDG
Step-by-step explanation:
I will make you a brainllest I need help :)
Answer:
32
Step-by-step explanation:
Lets work it out.
First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32
Find the value.
X3+ X2 when x=-2
PLEASE HELP!!! ASAP!!!
Answer:
-4
Step-by-step explanation:
(-2)^2 + (-2)^3
this is right if the 2 and 3 are exponents
Answer:
-4
Step-by-step explanation:
Substitute the value of x:
-8+4 = -4
Plz mark me brainliest!!
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity
[tex]v=v_{1}-v_{2}[/tex]
Put the value into the formula
[tex]v=9-5[/tex]
[tex]v=4\ mph[/tex]
We need to calculate the time
Using formula of time
[tex]t=\dfrac{d}{v}[/tex]
[tex]t=\dfrac{24}{4}[/tex]
[tex]t=6\ hr[/tex]
We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,
[tex]d=9\times6[/tex]
[tex]d=54\ miles[/tex]
For second bicycles,
[tex]d'=5\times6[/tex]
[tex]d'=30\ miles[/tex]
Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.
Which statement describes a process to solve _/b+20 - _/D=5?
Add a radical term to both sides and square both sides only once.
O Add a constant term to both sides and square both sides only once.
O Add a radical term to both sides and square both sides twice.
O Add a constant term to both sides and square both sides twice.
Answer:
d
Step-by-step explanation:
double check your answer
Answer:
C. Add a radical term to both sides and square both sides twice
Step-by-step explanation:
We suppose you want to solve ...
[tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]
__
We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.
The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.
MSolve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
the answer is C
Step-by-step explanation:
it it can be calculated by using simple quadratic formula
if x+y=12 and xy=32,then find X and y
answer with explaination
Step-by-step explanation:
x+y=12-----1
xt=32-----2
from 1,
x=12-y-----3
sub 3 into 2
(12-y) y=32
12y-y²=32
y²-12y+32=0
(y-8)(y-4)=0"factorise"
y=8,y=4
sub y =8 into 1,
x+8=12
x=4
sub y =4 into 1
x+4=12
x=8
conclusion,
when x=4,then y=8
when x=8,theb y =4
Answer:
x = 4, y = 8 or x = 8, y = 4
Step-by-step explanation:
Given the 2 equations
x + y = 12 → (1)
xy = 32 → (2)
From 2
y = [tex]\frac{32}{x}[/tex]
Substitute y = [tex]\frac{32}{x}[/tex] into (1)
x + [tex]\frac{32}{x}[/tex] = 12 ( multiply through by x )
x² + 32 = 12x ( subtract 12x from both sides )
x² - 12x + 32 = 0 ← in standard form
(x - 4)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 8 = 0 ⇒ x = 8
Substitute these values into (1) for corresponding values of y
x = 4 : 4 + y = 12 ⇒ y = 8
x = 8 : 8 + 4 = 12 ⇒ y = 4
Please answer the question and please how the working out fully Thank you
Answer:
X will be equal to 36 degrees.
Step-by-step explanation:
A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.
180-108 = 72
72 / 2 = 36
Therefore, x is equal to 36 degrees.
Hopefully this helps :)
Which part is which from the circle
The radius goes from the center to the edge of the circle.
The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle
The circumference is the distance around the circle. Think of it as the perimeter of the circle.
I NEED HELP ASAP PLEASE!
Answer:
The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.
I really need HELP PLEASE
Answer:
A. I and II, only
Step-by-step explanation:
y = x
Switch variables.
x = y
y = 1/x
Switch variables.
x = 1/y
1/x = y
y = x²
Switch variables.
x = y²
±√x = y
y = x³
Switch variables.
x = y³
∛x = y
Translate the following into an expression: 22% of b PLS HELP QUICK WILL GIVE BRAINLIEST IF CORRECT!!!!!!!! 10pts!!!!!!!!
Answer:
The above statement is written as
[tex] \frac{22}{100} \times b[/tex]
Hope this helps you
Fifteen women can weed a piece of land in
12 days. How many more women will be
required to clear the same land in10 days
Answer:
Brainliest please
Step-by-step explanation:
15 women= 12days
find 10 days,
12÷10×15= 18women in ten days
how many more women, subtract 18 women and 15 women
=3 is the answer
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
HELP!!!! Urgent!!! I'm stuck here.
Answer:
Mean = 25
Median = 23
Mode = 33
Step-by-step Explanation:
First, let's write out all the values represented in the stem and leaf plot. We have the following data sets as follows:
15, 18, 18, 19,
22, 23, 25,
31, 33, 33, 33
=>Mean = sum of all values ÷ no of values
= (15+18+18+19+22+23+25+31+33,+33+33)/11
= 270/11 ≈ 25 (to the nearest whole number)
=>Median is the middle value when the data set is ordered. Since we have 11 values, our median value would be the 6th value in our data set = 23
15, 18, 18, 19, 22, |23|, 25, 31, 33, 33, 33
=>Mode is the most occured value = 33
Graph the line with: a slope of 4/5 through the origin.
Answer:
y = 4/5x
Step-by-step explanation:
We have a slope of 4/5 and a point of (0,0)
Using the slope intercept form of a line
y = mx+b
y = 4/5 x +b
Substituting the point into the equation
0 = -1/2(0) +b
0 = 0+b
0 = b
The equation of the line is
y = 4/5x+0
find one-ninth of the difference between 49 and 13
Answer:
4
Step-by-step explanation:
First we need to find the difference by subtracting. 49-13 = 36
Then we fine one-ninth of 36. We do this by dividing 36 by 9
36 divided by 9 is 4.
Select the correct answer. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? A. B. C. D.
Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
From a rectangular metal sheet whose measure 30cm×20cm, a circular portion whose radius is 10.5cm is cut off .Find the area of remaining metal sheet .
Answer:
254 cm²
Step-by-step explanation:
Calculate first the total area
A = 30*20 = 600 cm²
Then calculate the area of the cercle
A= 10.5²*π = 346.36≈346 cm²
Then substract the area of the circle from the total one:
600-346= 254 cm²
Emma is doing a science project. She is measuring the time it takes a snail to move 5 kilometres. It takes the snail one hour to move 1 20 of a kilometre. If the snail moves at the same pace, how long will it take the snail to move 5 kilometres?
Answer:
41.67hrs
Step-by-step explanation:
if the snail moves 0.12km in 1hr
the snail will move 5km in Xhrs
0.12 × X = 5 × 1
0.12X= 5
X= 5/0.12 = 41.67hrs
Answer:
41.76 hours
Step-by-step explanation:
I feel bad so i did the math. Good Luck! hope you get it right!
What is the measure of angle EFD? 37.5° 45° 47.5° 55°
Answer:
47.5
Step-by-step explanation:
just took the test
The measure of angle EFD is 47.5°
What is inscribed angle?An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.
Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,
So,
we know that the arc formed by the central angle is equal to is measure.
∴ arc ED = ∠ECD
∠ECD = 95°
Now,
According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.
therefore,
∠ECD/2 = ∠EFD
∠EFD = 95/2
∠EFD = 47.5°
Hence the measure of angle EFD is 47.5°
Learn more about inscribed angle click;
https://brainly.com/question/16475520
#SPJ5
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
help me pleasseeeeeee
Answer:
no
Step-by-step explanation:
The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.
find the area of the blue sector. leave your answer in terms of pie please I need help NOW
Answer:
60
Step-by-step explanation:
Answer:
[tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Write an equation, in standard form, for the line that passes through the points (-1, -4) and (1, 6).
Answer:
y = 7/2 x + 5/2Step-by-step explanation:
The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.
m = Δy/Δx = y₂-y₁/x₂-x₁
Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁ = -4 and y₂ = 6
m = 6-(-1)/1-(-1)
m = 7/2
To get c, we will substoute the slope and any of the point given into the equation of a line as shown;
Using tyhe point (1, 6) and m = 7/2
6 = 7/2(1)+c
6 = 7/2 + c
c = 6-7/2
c = 5/2
The equation of the line will be y = 7/2 x + 5/2
school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Answer:
12 adults and 4 kids were there that the fair
Step-by-step explanation:
It would be really helpful if you could solve this for me. Please and thank you:)
Hey there! :)
Answer:
2nd choice.
Step-by-step explanation:
Given:
630 = 42f.
Divide both sides by 42 to solve for f:
630/42 = 42f/42
f = $15.
This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:
The second choice is correct. The number line has a single point at f = 15.