Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. *
5 points
Segment EF is twice as long as segment AB.
Segment CD is twice as long as segment FG.
The measure of angle HEF is twice the measure of angle DAB.
The length of segment EH is 16 units.
The area of EFGH is twice the area of ABCD.
Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
Answer:
akposevictor
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Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
shoutout to akposevictor he helped me get 100 so yea
Step-by-step explanation:
X=
x =
A. 6 2/3
B. 9
C. 12
Answer:
B). x=9
Step-by-step explanation:
4 x (5 + 4) =3 ×(x + 3)
36=3x+9
3x=27
x=9
An elevator descends at a
constant speed. What is the change in elevation
after 19 seconds?
Answer:
he total time is 4 seconds. The elevator descends 10 feet each second so the total is:
4seconds x -10 feet/sec = -40 feet
The total change in elevation is -40 feet. You need the negative sign because the elevator is moving downward. Hope this helps!
a phone company advertises a new plan in which the customer pays a fixed amount of $25 per month for unlimited calls in the country and $0.10 per minute for international calls. if a costumer uses 65 international minutes, how much do they owe?
Answer:
$31.50
Step-by-step explanation:
To solve this problem, create the equation
y = 0.10x + 25
Where x is equal to the number of international minutes and y is equaled to the total price paid. Since we are give the number of international minutes (the x), plug this into the equation and solve for y.
y = 0.10(65) + 25
y = 6.5 + 25
y = 31.5 or $31.50
what is that measure of
Step-by-step explanation:
Hey there!
After looking at the figure we can state that;
X + 53° = 105°. { the exterior angle is equal to the sum of adjacent interior angle}
X = 105° - 53°
Therefore, X = 52°
Hope it helps...
Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)
Answer:
x= -5
Step-by-step explanation:
3(5x+10)+10=6x-(x+10)
15x+30+10=6x-x-10
15x+40=5x-10
15x-5x=-10-40
10x=-50
x=-5
Answer:
x= -5
Step-by-step explanation:
trustttt mannn
Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .
What is x?
Enter your answer in the box
PLEASE HELP I APPRECIATE IT
Answer:
x = 2
Step-by-step explanation:
Vertical angles are equal to each other. It means that,
∠A = ∠B
So,
20x+10 = 30x−10
Taking like terms together, we get :
20x-30x=-10-10
-10x=-20
x=2
So, the value of x is 2.
Ali bought 16 packs of cola each pack had 6 cans he drank 9 cans how many left?
Answer:
87
Step-by-step explanation:
16 × 6 = 96 cans
96 - 9 = 87
Answer:
87
Step-by-step explanation:
please hurry I need this fast
Answer:
option #2
Step-by-step explanation:
ab-a-b+1
I know it splits into a(b-1)-1(b-1) but can someone explain in words how it becomes (a-1)(b-1) thanks
Answer:
ab - a - b + 1 = (a - 1)(b - 1)
Step-by-step explanation:
Let us explain factorization by grouping
In the expression of 4 terms ax + by + bx + ay
Take every two terms have a common factor in a bracket
(ax + ay) + (bx + by)Take the common factor out of the brackets
a(x + y) + b(x + y)Take the bracket as a common factor
(x + y)(a + b)Let us do these steps with our question
∵ ab - a - b + 1 is an expression of 4 terms
→ Take ab and a in a bracket, -b and 1 in another bracket
∴ ab - a - b + 1 = (ab - a) + (-b + 1)
→ Take a as a common factor from the 1st bracket and -1 from
the 2nd bracket
∴ (ab - a) + (-b + 1) = a(b -1) + -1(b - 1)
→ Take the bracket (b - 1) as a common factor
∴ a(b -1) + -1(b - 1) = (b - 1)(a + -1)
∵ (+)(-) = (-)
∴ (b - 1)(a + -1) = (b - 1)(a -1)
→ Change the order of the bracket
∴ (b - 1)(a -1) = (a - 1)(b - 1)
∴ ab - a - b + 1 = (a - 1)(b - 1)
Jill reads 6 books per month. The number of books varies directly with the
number of months. How many books does Jill read in a year?
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages did Lionel have copied?
Answer:
250
Step-by-step explanation:
You do 20/.08 to get 250.
Answer:
2.5
Step-by-step explanation:20/8=2.5
tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator?
Answer: 1,080 dollars
Step-by-step explanation: Start with your initial value of $1,166.40 then subtract $86.40 to get $1,080.
The owner of a bicycle shop models the shop’s profit in thousands of dollars each year by using the formula p = 0.015x3 – 0.2x2 + 0.95x + 39, where x is the number, in hundreds, of bicycles sold. Graph the function and describe its key features over the relevant domain.
Answer:
k k k k k k k
Step-by-step explanation:
k k okkkk k k high x crcyycs dgdvcsdvk kkhgj hfyjjdf c triol
Lily paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
Step-by-step explanation:
18.60$
I believe is your answer ...
1.3(x-13) Bs.
(1 Point)
Enter your answer
You multiply 3 times x and you get 3x, then multiply 3 times negative 13 and you get -39.
3x-39
What is this?
5 + 10
Answer: 15
Step-by-step explanation:
Solve 2/3x= 20
Please help i’ll give 30 points for it
Answer:
the answer is 30
Step-by-step explanation:
hope it helps
Answer fast please
Drag and drop each number to its correct position on the number line.
Answer:
-1 is the first one to the left of the 0
-5 is the 5th one to the left of the 0
2 is the 2nd one to the right of the 0
4 is the 4th one to the right of the 0
Step-by-step explanation:
hope this helped!
it would be cool if you gave me the brainliest.
if the midpoint between (3, 4) and (5, y) is (4, -2), what is the value of y?
Answer:
y = -8
Step-by-step explanation:
to find the midpoint you add the two together then divide by 2
(4 + y) / 2 = -2
4 + y = -4
y = -8
To what subset(s) of the real numbers does the
number - 0.45 belong? Explain your answer.
Answer:
Integers, and rational, I know this because -0.45 is a negative number and because rational numbers include all categories.
Step-by-step explanation:
Which option is an example of a survey?
A collecting data on pulse rate of a group of people
B. Flipping a coin 100 times and counting the number of heads
C. Asking kids in a kindergarten classroom about the average number of pieces of fruit they eat each day
D. Having a randomly selected group of students take a penci-and paper test and comparing the results with another randomly selected group of students who took the same test on the Computer
Answer:
C
Step-by-step explanation:
You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.
How do you do this question?
Part 1
[tex]x = g(y), \ c \le y \le d\\\\\\x = 3+4y^2, \ 1 \le y \le 2\\\\\\\frac{dx}{dy} = 8y, \ 1 \le y \le 2\\\\\\\displaystyle A = 2\pi \int_{c}^{d}y\sqrt{1+[g'(y)]^2}dy\\\\\\\displaystyle A = 2\pi \int_{c}^{d}y\sqrt{1+\left[\frac{dx}{dy}\right]^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}y\sqrt{1+(8y)^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}y\sqrt{1+64y^2}dy\\\\\\\displaystyle A = 2\pi \int_{1}^{2}\sqrt{1+64y^2}*ydy\\\\\\\displaystyle A = 2\pi \int_{65}^{257}\sqrt{u}*\frac{du}{128}\\\\\\[/tex]
In the last two steps I let u = 1+64y^2, so du/dy = 128y which leads to ydy = du/128.
Note the change in the limits of integration. If y = 1, then u = 1+64y^2 = 65. If y = 2, then 1+64y^2 = 257
----------------------------
Part 2
[tex]\displaystyle A = 2\pi \int_{65}^{257}\sqrt{u}*\frac{du}{128}\\\\\\\displaystyle A = 2\pi*\frac{1}{128}\int_{65}^{257}u^{1/2}*du\\\\\\\displaystyle A = \frac{\pi}{64}\int_{65}^{257}u^{1/2}*du\\\\\\\displaystyle A = \frac{\pi}{64}\left(\frac{2}{3}u^{3/2}+C\right)\Bigg]_{65}^{257}\\\\\\\displaystyle A = \frac{\pi}{64}\left(\left(\frac{2}{3}(257)^{3/2}+C\right)-\left(\frac{2}{3}(65)^{3/2}+C\right)\right)\\\\\\\displaystyle A = \frac{\pi}{64}*\frac{2}{3}\left((257)^{3/2}-(65)^{3/2}\right)\\\\\\[/tex]
----------------------------
Part 3
[tex]\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^3}-\sqrt{65^3}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^2*257}-\sqrt{65^2*65}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(\sqrt{257^2}*\sqrt{257}-\sqrt{65^2}*\sqrt{65}\right)\\\\\\\displaystyle A = \frac{\pi}{96}\left(257\sqrt{257}-65\sqrt{65}\right)\\\\\\[/tex]
[tex]\displaystyle A = \frac{\pi}{96}*257\sqrt{257}-\frac{\pi}{96}*65\sqrt{65}\\\\\\\displaystyle A = \frac{257\pi\sqrt{257}}{96}-\frac{65\pi\sqrt{65}}{96}\\\\\\\displaystyle A = \frac{-65\sqrt{65}\pi}{96}+\frac{257\sqrt{257}\pi}{96}\\\\\\[/tex]
Wha is the answer to 8x-15 = 8x-15
A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?
Answer:
588cm3
Step-by-step explanation:
Since the base is 7cm, and it is a cereal box, that means the depth is also 7cm.
Hence,
7x12x7=588
Brian bought 14 packs of 9 tickets each he also found 6 more tickets how many tickets does he have in all
Answer:
756
Step-by-step explanation:
14x9x6=756
Answer:
it is 132
Step-by-step explanation:
14x9+6
What is the slope of the line on the graph?
Answer:
2/4
Step-by-step explanation:
You would have to count the number of units (rise over run)
Answer:
the slope is 1/2 .
Step-by-step explanation:
How many apples are the
Simplify i31.
1
−1
i
−i
Answer:
D. -i
Step-by-step explanation:
I took the quiz and got a 100%
The required value of the complex number [tex]i^{31}[/tex] = -i.
Given that,
To determine the value of complex numbers [tex]i^{31}[/tex].
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is a complex number?The number that are constitute of real and imaginary numbers are called complex number. complex number can be represents as z = a+ ib ,where a = real part and bi = imaginary part.
Here,
[tex]i^4 = 1[/tex] and [tex]i^3 = -i[/tex]
For complex numbers [tex]i^{31}[/tex]
[tex]=i^{31}\\=(i^4)^7.i^3\\=1.-i\\=-i[/tex]
Thus, the required value of the complex number [tex]i^{31}[/tex] = -i.
Learn more about complex numbers here: https://brainly.com/question/28007020
#SPJ5
Find the equation of the horizontal line that contains the point (−9,3).
Answer:
y=3
Step-by-step explanation:
m=0
Point given is (-9,3)
Subtract these values into Y - Y1 =m (x -x1) and rewriting the results in equation in point slope form given
Y-3=0(x-(-9))
Y-3=0
Y=3