The situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
For two triangles being congruent, we need at least:
Either, 3 corresponding side pairs are congruent. (SSS congruency), Or, any 2 corresponding sides and angle between them are congruent. (SAS congruency).Or, any 1 side of same measurement as its corresponding side in other triangle with two angles on its endpoints of same measurement as per their corresponding angles in the other triangle. (ASA congruency).Checking all the options:
( i ) Both making a triangle FUN with side FU=4cm and angle F= 60ºOnly one side and one angle are not enough.
( ii ) Both making an equilateral triangle ARE.Two equilateral triangles are not necessary to be congruent. Example, one equilateral triangle has sides of 3 units, and other triangle has sides of 5 units.
( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cmTwo sides TR and RY and a non-included angle T is given. This doesn't satisfy SAS' condition. But since it is given that:
Angle T is right angled, so we now know that RY is going to be hypotenuse.
Using this fact, and the fact that |RY| = 5 cm, |TR| = 4 cm, and Pythagoras theorem, we can get |TY| = 3 cm.
Thus, it will complete SSS condition, and therefore, by SSS congruency, the triangles made in this case would be congruent.
( iv ) Both making triangle DIP with all angles equal.All angles(corresponding) being equal implies similarity, but not congruence.
Thus, the situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm
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How many cups of mashed potatoes were four people get if they equally shared 3/4 cup of potato
Answer:
3/4 x 2 = 6/8 6/8 ÷ 4 = 2/8
so each person would get 2/8 cups of potatoes
Which of the following is a root of the polynomial function below?
F(x) = x2-3x2+x+5
O A. -2+1
O B. 2
O C. 2+1
O D. 1
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½
What is a Line Plot?In a line plot, frequency of a data point is either represented by a dot or a mark.
In the line plot given:
Heaviest bag weighs 5¾
Lightest bag weighs 4¼
The difference between the heaviest and lightest bag = 5¾ - 4¼
= 23/4 - 17/4
= (23 - 17)/4 = 6/4 = 3/2
= 1½
The heaviest bag weighs 1½ pounds than the lightest bag.
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Your invest $88,000 a CD that is locked into a 1.75% interest rate compounded monthly for seven years how much will Urich have an account with the CD matures
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$88000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A=88000\left(1+\frac{0.0175}{12}\right)^{12\cdot 7}\implies A=88000\left( \frac{4807}{4800}\right)^{84}\implies A\approx 99459.21[/tex]
by first rounding each number to 1 significant figure, estimate the answer to 427+941
Answer:
1300
Step-by-step explanation:
select the place where the digit 2 sits in this number 428,031
Answer:
The 2 is in the ten thousands place.
Answer:
In this case the number 2 would be located in the tens of thousands.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
I need help with number three please someday help it’s stats
Answer:
I don't really know but I'm curious haha
please help find x and mDE
Answer:
x = 16
measure of Arc(DE) = 167°
Step-by-step explanation:
Since the arc EFG make a straight angle, we can infer;
180° = Arc(EF) + Arc(FG)
180° = (x-3)° + (12x - 25)°
180° = 13x - 28
208 = 13x
16 = x
Arc GF and DE are vertical angles so if you find the measure of Arc GF then it's the same as measure of Arc DE
mDE = mGF
mDE = 12x - 25
mDE = 12(16) - 25
mDE = 192 - 25
mDE = 167°
Hope this helps!
"Describe the domain and range of y=5(2)"
Answer:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞), {x|x∈R}
Range: {y|y=10}
(I apologize if this doesnt help)
Which object would have a measurable volume? A bunch of polaroid pictures. A beach ball. A sheet of loose leaf paper. A checker board.
Help!!
Answer:
its ethier the photo or the beach ball but i dont know which is
Step-by-step explanation:
Answer:A beach ball.
Step-by-step explanation:
Work out the area of the shape drawn below.
6 m
Answer:
28.3 m²
Step-by-step explanation:
The formula to find the area of a quadrant: 1/4 x π x r², where r is radius (diameter ÷ 2) and π is 3.14 or 22/7 or 3.142.
1) Substitute the values into the formula.
= 1/4 x 22/7 x 6²
2) Solve it.
= 1/4 x 22/7 x 36
= 1/4 x 113.14
= 28.285
2) Round the answer to one decimal place.
= 28.3
Please help! Area of part of a circle!!!
Select all the correct locations on the image. Identify which functions have complex roots by selecting the function names on the provided coordinate plane.
The parabolae b, d and f seen in the real coordinate plane have complex roots.
What is the graphical criterion to determine what second order polynomial has complex roots?
Second order polynomials are algebraic equations of the form:
[tex]y = a\cdot x^{2}+b\cdot x + c[/tex] (1)
Where:
a, b, c - Coefficientsx - Independent variabley - Dependent variableA value of x is a root of the polynomial for y = 0, which can real or complex but not both according to the discriminant of the quadratic formula. If the polynomial has no real roots, then it does not pass through the x-axis in the real coordinate plane.
Therefore, the parabolae b, d and f seen in the real coordinate plane have complex roots. [tex]\blacksquare[/tex]
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Give the equation of the circle centered at the origin with radius 3.
Here are the results of a survey of 525 people in a town.
• 135 females speak Welsh.
• 163 males do not speak Welsh.
• 238 people do not speak Welsh.
Use the results of the survey to work out the ratio
males in town who speak Welsh : males in town
How much would
$550 invested at 9%
interest compounded
annually be worth
after 8 years?
After 8 years the worth would become $1,095.91
How to find the compound interest?If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
We are given that $550 invested at 9% interest compounded annually be worth after 8 years.
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
a = 550 (1 + 0.09)^8t
a = 550 (1.09)^8t
a =1,095.91
Hence, the worth would be; $1,095.91
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Reemplaza los valores en las expresiones y resuelve
Substitute values into expressions and solve??
BRAINLIEST+STARS!!
Which transformation below causes Figure A to transform into Figure A’?
A. a reflection across the y-axis
B.a reflection across the x-axis
C.a clockwise rotation of 90 degrees about the origin D.a translation 12 units right and 2 units down
Answer:
D.a translation 12 units right and 2 units down
Answer:
D
Step-by-step explanation:
If you take one of the point and compare it to the corresponding one on the second triangle, you can see that it is a translation of 12 right 2 down.
A right square pyramid is shown. The height of the pyramid is 40 units. The distance from the center of the base of the pyramid to vertex D is 30units, as shown.
Enter the length of segment AD, in units
Answer:
c=a2+b2
use the Pythagorean Theorem
Help picture below problem 23
Answer: 7 hours.
Step-by-step explanation: Randall can assemble 5 race car tracks in an hour and Diggery can assemble 4 race car tracks in an hour. To see how many hours it takes to make 63 race car tracks, you need to add 5 and 4, since Randall and Diggery are working together. Both of them combined can make 9 race car tracks in total every hour. 63 can be divided by 9, which is 7. Therefore, it'll take 7 hours for both of them to make 63 race car tracks.
Let me know if this is right! :)
pls answer me thus question
Answer:
iii is the correct answer (the third one)
Step-by-step explanation:
additive inverse is the same as the reciprocal
It is when the denominator and numerator are swapped around
So the inverse of 3/9 is 9/3
Brainliest would be appreciated
which weight is greater than 5,000 lbs.
Answer:
6000 lbs is greater then 5000!
Step-by-step explanation:
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
c. take 10% of $46
d. take 18% of $50
Answer:
C. take 10% of $46
Step-by-step explanation:
Hope this helps you! :)
Order these numbers from least to greatest.
7.773, 157/20, 7.77, 7 9/11
Answer:
7.77, 7.773, 7 9/11, 157/20
Step-by-step explanation:
First, convert any fractions to decimals to make it a bit easier to order.
7.773, 157/20, 7.77, 7 9/11
157/20 = 7.857 9/11 => 86/11 => 7.82Now we have:
7.773, 7.85, 7.77, 7.82
Order from least to greatest:
7.77, 7.773, 7.82, 7.85
Rewrite using the original numbers in the question:
7.77, 7.773, 7 9/11, 157/20
Hope this helps!
Construct the indicated confidence interval for the population mean using the t-distribution. Assume the population is normally distributed.
picture of question below
Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer.
Applying the knowledge of radicals, the perimeter of the given triangle is calculated as: 63√6 cm
What is the Perimeter of a Triangle?To find the perimeter of a triangle, add up the length of all its three sides.
Given the trangle in the image:
Perimeter = 12√54 + 15√6 + 6√24
Simplify each radicals
12√(9 × 6) + 15√6 + 6√(4 × 6)
12 × 3√6 + 15√6 + 6 × 2√6
36√6 + 15√6 + 12√6
Add like radicals together
Perimeter = 63√6 cm
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Joyce paid $38.50 for an item at the store that was 65 percent off the original price. What was the original price?
Answer:
25.025
Step-by-step explanation:
x/38.50=65\100 cross multiply and divide by the 100 so now x=Original price=25.025
A team from the high school went on a science-and-math quiz show. The science questions were worth 3 points and the math questions were worth 1 point. The team answered a total of 16 questions and earned 36 points. How many questions did the team answer in each category?
Answer:
5 science questions and 1 math question
Step-by-step explanation:
i literally just counted on my fingers by 3
Find the values of x,y, and x in a circle
Answer: x=20, y=z=160
Step-by-step explanation:
Help help math math math
Answer:
1) 13
2) 9
3) 5
4) 1
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Answer:
13, 9, 5, 1
Step-by-step explanation:
all you have to do is plug in the x to find the y