Given:
[tex]ABDF\sim VXZT[/tex]
To find:
The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Solution:
We have,
[tex]ABDF\sim VXZT[/tex]
The corresponding angles of similar polygons are congruent. So,
[tex]\angle A\cong \angle V[/tex]
[tex]\angle B\cong \angle X[/tex]
[tex]\angle D\cong \angle Z[/tex]
[tex]\angle F\cong \angle T[/tex]
The corresponding sides of similar polygons are proportional. So,
[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]
Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].
How do you write 9,200 in scientific notation?
Answer:
9.2 x 10^3
Step-by-step explanation:
HOPE THIS HELPS and if it does brain pls thx
5/6 divided by 3/4 in simplest form
Answer: The answer is 1 1/9.
Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.
Can someone please explain the steps?
Answer:
There all 67 degrees
Step-by-step explanation:
Answer:
y= 119
Step-by-step explanation:
From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too
All inner angles of a parallelogram add up to 360
61+61=122
360-122=238
238/2=119
how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length
Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
A book sold 35,100 copies in its first month of release. Suppose this represents 8.8% of the number of copies sold to date. How many copies have been sold to date?
Answer:
561,972 copies
Step-by-step explanation:
MATH-
HELP ME PLEASE GUYS! :)
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
8
Find the arc length of the partial circle.
units
Answer:
How to solve ???Arc Length = θ × (π/180) × r, where θ is in degree.
Radius and the sector area:-Multiply the sector area by 2.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.Multiply the central angle by the radius to get the arc length.Let's solve ur question :- Answer :-The Arc length of the given partial circle is 4π units or 12.56 units .
Used formulae :- The length of the Arc is "I" units , the radius "I" units and the angle subtended by the Arc at the center is "X" is ( X° / 360° ) x 2πr units .Circumference of the circle = 2πr units .π = 3.14Step-by-step explanation:
Ur answer with proof refer to above attachments .Hope this helps you XD ✌️Answer:
4π
Step-by-step explanation:
Hope this helps!
i need help please thanks
Answer:
D) each input has only one output.
Step-by-step explanation:
3х + 9 = 2х + 5
is it no solutions, all real numbers, or does x equal something?
Answer:
x = -4Step-by-step explanation:
Given Equation:3x + 9 = 2x + 5Question:Whether x has one solution or infinite solutions or no solutions?Solution:=> 3x + 9 = 2x + 5
(On shifting like terms to one side we get)=> 3x - 2x = 5 - 9
(On subtracting)=> x = - 4
Result:Hence, x has only one solution that is, x = -4 (Ans)
Topic : Linear equations in one variable
Given :
3х + 9 = 2х + 5Solution :
[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]
Transposing variables on one side and constant terms on the other side, we get :
[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]
Hence, the x is equal to something which is (– 4)The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
Daniela listened to a popular radio station for 1 hour. Then she made a circle graph to summarize what she had heard.
Complete the table to show the angle measure for each section and the number of minutes that section represents.
Answer:
1.50
Step-by-step explanation:
divide 2 add 5 divide 2 again
Plot the points of the transformation Ry−axis (FGHIJ).
I will give brainliest!
Step-by-step explanation:
The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.
Which description best describes the association between variables x and y?
A.strong positive
B.strong negative
C.weak positive
D.weak negative
Answer:
A. Stong positive
Step-by-step explanation:
Both the x and y variables move into the higher number on the chart!
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning form them:
Solve for P 2(p-10)= 14
Hi,
2(p-10) = 14
2p - 20 = 14
2p - 20 + 20 = 14 + 20
2p = 34
2p/2 = 34/2
p = 17
✅(•‿•)
What is the slope of a line perpendicular to the line whose equation is -2x+20y=6
Answer:
-10
Step-by-step explanation:
Solving for y gives ...
20y = 2x +6
y = 2/20x +6/20 = 1/10x +3/10
The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.
The perpendicular line has a slope of -10.
Josh makes a fruit salad with bananas, blueberries, and strawberries. He uses 234 pounds of bananas, 112 pounds of blueberries, and some strawberries. The fruit salad weighs 618 pounds. How many pounds of strawberries does Josh use?
Answer:
234+112=346
618-346=272
Josh used 272 pounds of strawberries in his fruit salad.
Step-by-step explanation:
Answer:
272
Step-by-step explanation:
At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
PLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answer:
Step-by-step explanation:
I dont really know how to find out the variables but what i assume to do is this:
Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt find the value sorry :(
HAS ANYONE EVER DONE MARKET DAY AT SCHOOL IT IS SO STRESSFUL HELPPPPP
Kind of, Market day as in make stuff and then sell it or Market day as in Sell food, I remember this in elementary school 2 Different Kind of Market day :)
Pls help me sue tmr pls pls pals question 6
Answer:
Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%
135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%
so Ankita is 90% of the height of Nita
Step-by-step explanation:
pedro is a driver for LYFT. There is a flat fee and a rate per mile. The function f(x)=4.50x + 12 represents how much it will cost for a ride after X miles. evaluate f(39)
Solve for.
11x +4 < 15
OR
12x – 7 > -25
Choose 1 answer:
3
<3 <1
3
B
>>
1910
<1
Step-by-step explanation:
11x-4<15
11x<15+4
11x<19
x<1
what percent of 925is37
Answer:
4%
Step-by-step explanation:
to find percentage do 37 divided by 925 helps it helps :)
Use the associative property to simplify the expression.
43 +30 + 70
O A. 43 + 10(3 + 7) = 43 + 10(10) = 143
O B. 43+ (30 + 70) = 43 + 100 = 143
O C. 43 + 30 + 70 = 73 + 70 = 143
O D. 43 + 70 + 30 = 113 + 30 = 143
Answer:
the answer is 143 cus u add throw
through
How does Shakespeare create an immediate mood of sadness around Romeo
Answer:
Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is
Can i get some help ::
Answer:
last option
...................................
A boy is walking at 3 m/s He is 25 kg and his back pack is 5kg. What is the boys momentum when carrying the back pack?
90 kg m/s
10 kg m/s
15 kg m/s
75 kg m/s
Answer:
90 kg m/s
Step-by-step explanation:
The equation for momentum is
p= mass x velocity
so our velocity is 3 thats is given
the mass must be calculated by adding 25 and 5
this adds to 30
30 x 3 = 90
The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?
Answer:
23
Step-by-step explanation:
x + x + 1 + x + 2 + x + 3 + x + 4 = 110
5x + 10 = 110
x = 20
4th number = x + 3
20 + 3 = 23
What is f(5) for the function f(x) = 7x + 1
7 (5) + 1 = 35 + 1 = 36
So, f(5) = 36
Is 1 1/30 more or less then 1 1/2 gallons
Answer:
less
Step-by-step explanation: