Two triangles are shown.
Complete the statement to prove that triangle
ABD is similar to triangle ECD. Fill in the blank
to complete the statement.
∠ ABD and ∠ ECD are _____
and angle ___________ is shared by both triangles,
therefore the figures are __________
by ________ __________ __________
Answers
On solving the provided question, we can say that - the given triangles ECD and triangle PQR
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
EC = PQ
CD = PR
ED = QR
therefore both triangles are similar by SSS property
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Related Questions
dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. What is his gross monthly earinings for february?
Answers
The gross monthly earnings for February will be $1012.2
How to illustrate the expression?It should be noted that gross monthly earnings simply means the earnings that an individual makes for a particular month.
In this case, Dave earns $200 per week plus 4.1 commission. He sold $5175.50 in the month of February. His gross monthly earnings for February will be:
= ($200 × 4) + (4.1% × $5175.50)
= $1012.2
Therefore, $1012.2 will be the earnings.
Learn more about expressions on;
brainly.com/question/723406
#SPJ1
A rectangle off the length (x+2) cm and breadth (x)cm has an area of 15cm².find the va of x hence the perimeter of the rectangle.
Answers
Answer:
The area of a rectangle is given by the formula:
area = length * breadth
In this case, the length of the rectangle is (x+2) cm and the breadth is (x) cm, so the area is:
area = (x+2) cm * (x) cm
= x^2 + 2x cm^2
We know that the area of the rectangle is 15 cm^2, so we can set up the following equation:
x^2 + 2x cm^2 = 15 cm^2
We can solve for x by using the quadratic formula:
x = (-2 +/- sqrt(4 - 41(-15))) / (2*1)
= (-2 +/- sqrt(64)) / 2
= (-2 +/- 8) / 2
= (-4, 2)
We have two solutions for x, so we need to consider both of them to find the dimensions of the rectangle.
If x=-4, then the length of the rectangle is (x+2) cm = (-4+2) cm = (-2) cm and the breadth is (x) cm = (-4) cm. Since the length and breadth of a rectangle must both be positive, this solution is not valid.
If x=2, then the length of the rectangle is (x+2) cm = (2+2) cm = 4 cm and the breadth is (x) cm = 2 cm. These dimensions give us a valid rectangle with an area of 15 cm^2.
The perimeter of the rectangle is the sum of all four sides, so the perimeter is 2 cm + 2 cm + 4 cm + 4 cm = 12 cm.
Therefore, the value of x that gives us a rectangle with an area of 15 cm^2 and a perimeter of 12 cm is x=2.
why do the hands on the clock form an angle?
Answers
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12
A. Which wheelchair ramps follow the guidelines
A. A ramp with a length of 30 feet and a height of 3 feet
B. A ramp with a length of 20 meters and a height of 0.5 meters
C. A ramp with a length of 384 inches and a height of 32 inches
D. A ramp with a length of 1 feet and a height of 12 feet
B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.
Let x represent the length (in feet) of the ramp
A. X < 30
B. X > 30
C. X ≥ 30
D. X ≤ 30
Answers
Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f
Answers
7. Find the slope and y-intercept of the line given by -6x - 18y = 20.
Answers
Answer:
Given,eqn is -6x-18y=20
or,-18y=6x+20
or,y=6x+20/-18
or,y=6x/-18 +20/-18
or,y= - X/3 -10/9
Comparing above eqn with y=mx +c,we get
m= -1/3 and y-intercept (c)=-10/9
*Mark me brainliest
Answer:
slope: -1/3 y-int: -10/9
Step-by-step explanation:
first step is to turn the equation into slope intercept form (y=mx+b)
-6x-18y=20
+6x +6x
-18y=6x+20
divide -18 on both sides
y=-1/3x-10/9
the m is the slope, and the b is the y-intercept
(7/8 x 14) / (3/8 x 6) + 2 1/5
Answers
answer to this question is simple 7 4/9
What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answers
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
the cost,y, of red grapefruit can be represented by the equation y=2x, where x is the number of pounds of red grapefruit. the graph shows the cost of pink grapefruit. which type of grapefriut costs more per pound?
Answers
We can conclude that, if --
m{pink} > 2 : The cost (y) of red grapefruit is less than cost (y) of pink grapefruit.m{pink} < 2 : The cost (y) of red grapefruit is greater than cost (y) of pink grapefruit.What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that the cost (y) of red grapefruit can be represented by the equation y = 2x, where {x} is the number of pounds of red grapefruit. Also the graph shows the cost of pink grapefruit.
The cost (y) of red grapefruit can be represented by the equation y = 2x. So, we can write that the cost per unit pound of red grape is $2. The graph of the pink grapefruit is not given, but its slope {m} will tell us its costs per pound.
Now, if -
m > 2 : The cost (y) of red grapefruit is less than cost (y) of pink grapefruit.m < 2 : The cost (y) of red grapefruit is greater than cost (y) of pink grapefruit.Therefore, we can conclude that, if -
m{pink} > 2 : The cost (y) of red grapefruit is less than cost (y) of pink grapefruit.m{pink} < 2 : The cost (y) of red grapefruit is greater than cost (y) of pink grapefruit.To solve more questions on straight lines, visit the link below -
brainly.com/question/28951560
#SPJ1
Simplify: -20z^8+ (-2z^8)
Enter the original expression if it cannot be
simplified.
Answers
Therefore , the solution of the given problem of expression comes out to be 22[tex]z^{8}[/tex].
Define Expression .A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Here,
Given : -20[tex]z^{8}[/tex]+ (-2[tex]z^{8}[/tex])
=> -22[tex]z^{8}[/tex]
So ,
In order to find the solution we add them
Thus ,
simplification of given expression is:
=> - 22[tex]z^{8}[/tex]
Therefore , the solution of the given problem of expression comes out to be 22[tex]z^{8}[/tex].
To know more about expression , visit
https://brainly.com/question/14083225
#SPJ1
7. A group of friends orders pizza at a restaurant. Each person gives some money to Chris before they order.
a. Chris has $63 to spend on the order, including tax. The tax at the restaurant is 5%. What is the maximum cost of food the group can order and not go over $63? Explain your reasoning.
b. Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Explain.
Answers
The answer to B is: 53.55$ because 15% of 63$ is 9.45$ so once again do the same thing you did to A and take away 9.45$ from 63$ and you get 53.55
express 1.21 as percent
Answers
Answer: 121%
Step-by-step explanation:
move the decimal place two to the right
4. What is the slope-intercept form of 9x + 3y = 15?
Oy=-3x+5
Oy=3x+5
Oy = 3x - 5
Oy=-3x - 5
Answers
The slope-intercept form of the equation 9x + 3y = 15 is y = -3x + 5.
What is slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The given equation is 9x + 3y = 15.
Rearranging it to get in slope-intercept form -
⇒ 9x + 3y = 15
⇒ 3y = -9x + 15
Dividing LHS and RHS by 3 -
⇒ y = -3x + 5
Here, the equation is the slope-intercept form y = mx + c.
So, the slope is m = -3 in the equation.
Therefore, the slope-intercept form is y = -3x + 5.
To learn more about slope-intercept form from the given link
https://brainly.com/question/1884491
#SPJ1
What is the amount of < AGF?
Answers
Answer:
Angle AGF = 140
Step-by-step explanation:
180-40 = 140
What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?
Answers
Answer: just be positive
Step-by-step explanation:
If n is a two-digit number, what is the sum of the digits of 99×n?
Answers
Answer: The sum of the digits of 99 × n is 27 - 10 = 17.
Step-by-step explanation:
To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.
For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.
The length of a rectangle is 10 cm what is the width if the area is 60 cm
Answers
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
what is rectangle ?An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.
given
Consequently, the rectangle has a length of 10 cm and an area of 60 cm2.
Since,
Area of a rectangle equals length times width
=60=10*breadth
width is 60/10.
= 6 cm in breadth.
the width of a rectangle is measured at 6 cm, its length at 10 cm, and its area at 60 cm2.
To know more about rectangle visit :-
https://brainly.com/question/29123947
#SPJ1
100° хо 100%
what is the answer for x?
Answers
The answer of x is 100 degree.We can find by using percentage formula.
What do we mean by percentage?Percentage is a value or ratio that shows a fraction of 100. Percent means per 100. It does not have any units.If we have to calculate percent of a number then we divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
What is the percentage formula?The formula used to calculate percentage is: (value/total value)×100%.The most basic application of percentages is to compare one quantity against another. When we want to talk about data in this way we use it with the word, "of." To use this data as an example, we would say, for example, "25% of people prefer cake," as in this example.
Now we have
100 = x of 100%
100= x * 100/100
100= x
Hence we can calculate value of x.
To learn more about percentage visit;
https://brainly.com/question/29306119
#SPJ1
3 1/7 x [3 1/3 x (2/3+1/6) -1 5/18] ÷2 3/7 =?
Answers
Step-by-step explanation:
3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7
well, first we have to bring everything to true fractions.
then we need to bring all fractions we need to add or subtract to the same denominators.
and then we simply calculate.
3 1/7 = (3×7 + 1)/7 = 22/7
3 1/3 = (3×3 + 1)/3 = 10/3
1 5/18 = (1×18 + 5)/18 = 23/18
2 3/7 = (2×7 + 3)/7 = 17/7
22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7
to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.
2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6
22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7
22/7 × [50/18 - 23/18] ÷ 17/7
22/7 × 27/18 ÷ 17/7
22/7 × 27/18 × 7/17
22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17
so, the result is 33/17 = 1 16/17
what is the slope of the table below? 3/8 15/12 9/10 0/7
Answers
The slope of the table below? 3/8 15/12 9/10 0/7 is 23.8
What is slope?Slope is defined as the rate of change of y with respect to x. Invariably, it it the rise in y over the run in x. put differently, slope is increase over increase in x
The slope of a line is defined
S= (increase in y)/(Increase in x) = Δy/Δx
Slope = (0/7 - 18/12) ÷ (9/10 -3/8)
Slope = 15/12 ÷ 42/80
Simplify the fractions to have
Slope = 15/12 * 80/42
The slope = 1200/504
Slope of the table is given as 23.4
Conclusively, the table gives us a slope approximately 23
Learn more about slope on https://brainly.com/question/3605446
#SPJ1
29. What is length of x?
Please explain this one too me since I did not understand it thanks
Answers
The length x is found to be 10 yards and is calculated using Polygon Triangulation.
What is Polygon Triangulation?
The polygonal triangulation is a method in which the area of polygon is divided into triangles to simplify calculation.
From the attached figure, we can find a using Pythagorus Theorem
a = [tex]\sqrt{6^{2} - 4.8^{2} }[/tex] = 3.6
cos θ = [tex]\frac{4.8}{6}[/tex] = 0.8
In ΔXYZ
cos θ = [tex]\frac{8 + 4.8 }{x+ 6} \\\\[/tex]
0.8 = [tex]\frac{12.8}{x + 6}[/tex]
Solving for x,
x = 10 yards
Therefore the length of x found using polygonal triangulation method is 10 yards.
To learn more about polygonal triangulation, follow the link.
https://brainly.com/question/15243897
#SPJ1
how many 2/5s are in 1 and 1/2
Answers
Answer:
4
Step-by-step explanation:
How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .
Anything would be greatly appreciated!!
Answers
As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.
What is meant by polygon's surface area?The region that a particular polygon occupies in a two-dimensional plane, whether it be a triangle, square, quadrilateral, rectangle, parallelogram or rhombus, hexagon or pentagon, is defined as its area. Depending on how they are shaped, different types of polygons have different areas or formulas for areas. One way to think of a polygonal surface is as a surface made up of polygonal faces. All of the polygons must belong to the same type (triangles, quadrilaterals or whatever). The user must ensure that each polygon's vertices all sit in a plane if the polygons are of a higher order than triangles. The collection of polygons or faces collectively make up the object's "skin." A wide range of solids and surfaces can be graphically represented using this technique.Therefore the correct option is C) 12 + 4√5 square unit
To learn more about polygon's surface area, refer to:
https://brainly.com/question/20110859
#SPJ1
2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answers
Answer:the third one
Step-by-step explanation:
Find 45% of 60???????
Answers
Answer:
27
Step-by-step explanation:
To find 45% of 60, you can multiply 60 by 0.45
60 x 0.45 = 27
45% of 60 is 27.
A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?
6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones
Answers
Answer:
Step-by-step explanation:
C.) 15 upgraded phones
A store is designing the space for rows of nested shopping carts
Answers
a student states that the exterior angle of a triangle can never be a right angle. find the mistake and correct it
Answers
Answer:
FALSE statement
Step-by-step explanation:
a right triangle’s exterior angle is 90 degree
-our classmates were asked to decorate /5 or the bulletn boara In a classroom They divided the section to be decorated equally among the 4 classmates. Whe fraction of the entire bulletin board did each classmate decorate? (5.NF.7)
Answers
The fraction of the entire bulletin board decorated by each classmate is N/20.
Fraction of a number.Fraction is a mathematical expression which is made up of denominator and a numerator. So that fractions may generally be categorized into 3 types. These are: proper fraction, improper fraction, and mixed fraction.
Considering the given question, let the size of the bulletin board be represented by N.
The section of the bulletin board to be decorated = 1/5 * N
= N/ 5
There are 4 classmates that has been selected to divide the section to be decorated equally among themselves. So.
Fraction of the board to be decorated by each student = (N/ 5)/ 4
= 1/20 N
The fraction of the board to be decorated by each student is N/20.
Learn more about fraction of a given number at https://brainly.com/question/25896303
#SPJ1
In a week, an airline operates a flight from San Francisco to New York once a day. The total travel times for this week are:
Sunday: 343 min.
Monday: 314 min.
Tuesday: 401 min.
Wednesday: 341 min.
Thursday: 359 min.
Friday: 407 min.
Saturday: 378 min.
What was the range of flight times for the route that week?
a. 66 min
b. 93 min
c. 29 min
d. 87 min
Answers
Answer:
To find the range of flight times, you need to find the difference between the shortest and longest flight times. The shortest flight time was on Monday at 314 minutes, and the longest flight time was on Friday at 407 minutes. The range is 407 - 314 = 93 minutes. The correct answer is therefore (b) 93 min.
Step-by-step explanation: