Answers
Answer:
AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.
Related Questions
If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC
Answers
Answer:
Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].Side c:
If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]Finding the angles:
In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.Find the value of x
BRAINLEST I SWEAR TO GOD
What is the root ?!
Answers
9514 1404 393
Answer:
x = √70
Step-by-step explanation:
The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...
x/(7+3) = 7/x
x^2 = 7(10) = 70
x = √70
_____
Additional comments
This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.
The same relation holds for BC:
BC = √(CD·CA)
__
A slightly different geometric mean relation holds for the altitude BD:
BD = √(DC·DA)
Ebuka's monthly rent is \$750$750dollar sign, 750. If Ebuka pays the rent late, his landlord charges 4\%4%4, percent interest per week that the payment is late.
Answers
Answer: R(t) = 750 + 0.04t
Step-by-step explanation:
Here's the complete question:
Ebuka's monthly rent is $750. If Ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. Write a function that gives the total cost R(t), in dollars, of Ebuka's rent if he pays it t weeks late.
The above question will be represented by:
R(t) = $750 + (4% × t)
R(t) = 750 + (4/100 × t)
R(t) = 750 + 0.04t
Find the highest common factor of 55 and 605
Answers
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7
Answers
Answer:
The solution is x = -2, y = -3
Step-by-step explanation:
Let's start with the equation 3x + y = -9
Substitute the y for 5x+7 seen in the second equation
Now you have 3x + (5x+7) = -9
Lets solve:
Let's add the x's
Now we have 8x + 7 = -9
Substracy seven from each side
Now we have 8x = -16
Now let's divide 8 on each side
Now we have x = -2
Now lets plug in -2 to the second equation
The second equation is y = 5x+7
When we plug in -2 we get y=5(-2)+7
We multiply
We now have y = -10+7
Add
y = -3
The solution is x = -2, y = -3
Plzzzzzz help
Graph y-2= 2/3(x+4)
Answers
Answer: y= 2/3x + 14/3
Step-by-step explanation:
Please help desperate due today please help
Answers
solve inequality for v
Answers
Answer:
[tex]\displaystyle v > \frac{-28}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{-10}{7}v > 8[/tex]
Step 2: Solve for v
Divide both sides by [tex]\displaystyle \frac{-10}{7}[/tex]: [tex]\displaystyle v > \frac{-28}{5}[/tex]Here we see that any value v greater than [tex]\displaystyle \frac{-28}{5}[/tex] would work as a solution to the inequality.
-7/10 and simplify.
Inequality Form:
v< −28/5
Interval Notation:
(∞, −28/5)
While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?
Answers
Answer:
$66
Step-by-step explanation:
The meal cost $50 without taxes.
The cost of tax:
$50*%14= $7
so she will pay a $7 tax
Also, she wants to tip %18 of the original $50 so:
$50*%18= $9
so she will tip $9
$50 + $7 + $9 = $66
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a diamond or a heart.
The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a diamond or a heart.
The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:
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Answer:
There we go!!!
A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?
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Answer:
length of arc=80/360×2πr
88×360=80×2×22/7×r
31680×7/(80×2×22)=r
r=221760/3520=63
diameter=2r=2×63=126
Determine the value of x.
Answers
Answer:
The value of x is 14.75 ⇒ (2)
Step-by-step explanation:
If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)In the given figure
∵ The vertices of the quadrilateral BCED lie on the circumference of circle A
→ By using the 1st rule above
∴ BCED is a cyclic quadrilateral
∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED
→ By using the 2nd rule above
∴ m∠B + m ∠E = 180°
∵ m∠B = 6x + 10
∵ m∠E = 81.5°
∴ 6x + 10 + 81.5° = 180°
→ Add the like terms on the left side
∴ 6x + 91.5 = 180
→ Subtract 91.5 from both sides
∵ 6x + 91.5 - 91.5 = 180 - 91.5
∴ 6x = 88.5
→ Divide both sides by 6 to find x
∴ x = 14.75
The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2
Answers
Answer:
a) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex] are [tex]x_{1}\approx -0.25[/tex] and [tex]x_{2} \approx 1.25[/tex].
b) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex] are [tex]x_{1}\approx -0.5[/tex] and [tex]x_{2} \approx 1.5[/tex]
Step-by-step explanation:
From image we get a graphical representation of the second-order polynomial [tex]y = 4\cdot x^{2}-4\cdot x -1[/tex], where [tex]x[/tex] is related to the horizontal axis of the Cartesian plane, whereas [tex]y[/tex] is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:
a) [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex]
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
[tex]x_{1}\approx -0.25[/tex], [tex]x_{2} \approx 1.25[/tex]
b) [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex]
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
[tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex]
Can anyone help with these maths questions about transformations please?
Answers
B. Reflection over y axis, reflection over y = 1
C. I'm guessing you just have to draw this one, just put the center on (2,0) and enlarge it by the scale factor
Cos(A) = ?
13/5
12/5
12/13
5/13
Answers
Answer:
cosA = [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]
what are the next 2 terms in the sequence
Answers
Answer:
4 1/4 and 4 3/4
Step-by-step explanation:
its adding 2/4 each time
Answer:
4.25 and 4.75
Step-by-step explanation:
just add 0.50
Please help fast!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answers
Answer:
g(h(- 8)) = 119
Step-by-step explanation:
Evaluate h(- 8), then substitute the result obtained into g(x), that is
h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then
g(62) = 2(62) - 5 = 124 - 5 = 119
Hope this helps
If C is the midpoint of AB, find the value of x.
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Answer:
5x+6= 10x-8
14= 5x
x= 2.8
Step-by-step explanation:
If you spin the spinner, what is the probability of the pointer landing in the y section
Answers
Answer:
1/8
Step-by-step explanation:
Find the slope on the graph
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Answer:
im pretty sure it would be 5/3
Step-by-step explanation:
u go up 5 squares and then over 3
Answer:
[tex]\frac53[/tex]
Step-by-step explanation:
Hello!
Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].
Rise is the change in y between two pointsRun is the change in x between two pointsThe two points I'm going to pick are (0,-1) and (3,4).
Now let's find the changes in x and y.
Change in y (-1 and 4) is 5Change in x (0 and 3) is 3Plugging it into the formula, you get a slope of [tex]\frac53[/tex].
are the following terms like terms 3m+4n yes or no
Answers
$1400 is divided between two accounts. One account pays $3%$ interest, while the other pays $4%$. At the end of the interest period, the interest earned was $50. How much was invested in each account?
Answers
Answer:
$60
Step-by-step explanation:
one of them got $40 and the other one $20
A video game is now being sold at 22% off for a price of $31.20. What was the original price of the video game?
Answers
$38.06
Explanation:
Multiply $31.20 by 0.22 (22%)
Which equals 6.864
Add that to $31.20 and you get 38.064
Then you round it and get $38.06
Calculate the total cost of a meal that cost $45.12 if the sales tax is 5.2% and yo want to leave a
17% tip.
Answers
Answer:
55.53
Step-by-step explanation:
45.12
5.2%= 1.052
new price= original(1+5.2%)
x=45.12(1.052)
×=47.46624+17%
=55.53
Mario's plumbing service
Charges $40 to make a house
Call plus $25 an hour.
y=40+25h
Fill in the chart
Answers
Answer:
So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125
Step-by-step explanation:
For every hour, add 25 in each box.
These dot plots show lengths (in feet) from a sample of crocodiles and alligators.
Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
statement is true?
A. Alligators have a smaller IQR because there were some very long
alligators (high outliers).
B. Crocodiles have a greater IQR because most of the crocodiles
were about the same length.
C. Alligators have a smaller IQR because there were some very short
alligators (low outliers).
D. Alligators have a greater IQR because there were some very long
alligators (high outliers).
Answers
Alligators have a greater IQR because there were some very long alligators (high outliers)
D: Alligators have a greater IQR because there were some very long alligators (high outliers)
How to find outliers and the interquartile range?Use the interquartile rule to find outliers and calculate the interquartile range of data.
Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.
Subtract 1.5x (IQR) from the first interquartile range.
If you subtract 1.5xIQR from the first quartile, data values smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values larger than this number are considered outliers.
Learn more about outliers and the interquartile here:https://brainly.com/question/17083142
#SPJ2
What is the answer? Please
Answers
Answer:
i would say the 3rd one
Step-by-step explanation:
Given three points, it is possible to draw a circle that passes through all three. The perpendicular bisectors of a chords always passes through the center of the circle. By this method we find the center and can then draw the circle. This is virtually the same as constructing the circumcircle a triangle.
HELP ME PLEASE I NEED HELP
Answers
try the other answer.
Answer:
a. x=2
b. y=5
Step-by-step explanation:
a. 2(11x+7)=58
22x+14=58
x=2
b. 16y+10=90
16y=80
y=5
If I got 562 on my 7th grade Math Diagnostic then what grade level am I?
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Answer:
7th grade, I think
I looked it up but I am not 100% sure
Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.
Answers
0.04
step by step explanation:
i’m here for the points sorry