Refer to the attached diagram for further a visual explanation. As per the given information, segments (AB) and (AD) are congruent. Moreover, segments (AC) and (AE) are also congreunt. One is also given that angles (<BAD) and (<EAC) are congruent. However, in order to prove the triangles (ABC) and (ADE) are congruent (using side-angle-side) congruence theorem, one needs to show that angles (<BAC) and (<DAE) are congruent. An easy way to do so is to write out angles (<BAC) and (<DAE) as the sum of two smaller angles:
<BAC = <BAD + <DAC
<DAE = <DAC + <EAC
Both angles share angle (DAC) in common, since angles (<EAC) and (BAD) are congruent, angles (<BAC) and (<DAE) must also be congruent.
Therefore triangles (ABC) and (ADE) are congruent by side-angle-side, thus sides (BC) and (DE) must also be congruent.
In summary:
AB = AD Given
AC = AE Given
<BAD = <EAC Given
<DAC = <DAC Reflexive
<BAC = <BAD + <DAC Parts-Whole Postulate
<DAE = <EAC + < DAC Parts-Whole Postulate
<BAC = <DAE Transitivity
ABC = ADE Side-Angle-Side
BC = DE Corresponding parts of congruent triangles are congruent
1.Give another name for line s
2. Name then intersection of lines r and s
3.Name three non- collinear points
4. Give another name for plane n
Step-by-step explanation:
1 ) Another name for lines can be x y z etc ...
2 ) line r and s intersect at point B
3 ) point A B D
point D B C
4 ) Another name for plane N can be P Q T etc...
MARK AS BRAINLIST IF IT IS USEFUL
Giải phương trình x^4-2x^3+2x^2-x-6=0
Answer:
[tex]x_{1} = - 1. \: \: x_{2} = 2[/tex]
Step-by-step explanation:
attached
THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
fathers age 50 son age 20
Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?
Answer:
-5.35
Step-by-step explanation:
-20.85
+15.50
this helps with the problem
Explain the algebraic error in the student’s work. Then, state how the equation r = StartFraction (uppercase A minus uppercase P) Over t EndFraction can be modified to produce the correct result.
Answer:
The student did not distribute properly to get A= P+Prt. The equation can be fixed by putting a factor of P in the denominator: r=(A-P)/Pt
Step-by-step explanation:
just did it
There is an error in step 2 where distributive property was not followed.
What is Simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Steps taken by the student to solve the formula of the simple interest for the values of '',
Step 1 : A = P( 1 +rt)
Step 2 : A = P + rt
Step 3 : A - p = rt
Step 4 : r = (A - P)/ t
There is an error in step 2 where distributive property was not followed.
Correct steps should be,
Step 1 : A = P( 1 +rt)
Step 2 : A = P + Prt [By distributive property]
Step 3 : A - P = Prt
Step 4 : r = (A-P)/Pt
Therefore, error was made in step 2.
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R is between Q and S. If QR = 33.4 and SQ = 80, find RS
Answer:
56.6
Step-by-step explanation:
if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS
I need help with maths lol
Answer:
Step-by-step explanation:
To get equivalent expressions, if you are adding or subtracting, the number and letter you get on the left must be the same as the one on the right.
In B. The answer is incorrect because 4t is minus on the left. The letters are different, so 4t must remain minus. Not B
In C the numbers will combine when you add. If they are the same,, they remain the same. They do not become powers the answer for C is 10s. So C is not correct.
In D you are indicating that 6 is multiplied by 4s. You can only multiply 6 and 4. They don't add. Not D
A is correct.
Sophie went to the lake with her family. First, they spent 1 1/4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Answer:
they spend the time for swimming is 11/4 ✖ 2 =22/4
that's means in hours =5 hours 30 minutes
Anyone know the answers to 26 and 28?Please help me I’m sleep deprived
Answer:
26. 30 ≥ 7.5a + 4.5s 28. $22.50
Step-by-step explanation:
26. The family doesn't want to spend over 30 dollars, so when writing the inequality the amount they spend needs to be less than or equal to 30, hence the greater than/equal to sign. When writing the expression a - amount of adults & s - amount of students.
*remember in the question it states middle and high schoolers both count as students
The 7.5 is cost for adults and the 4.5 is cost for students.
28. You can use the expression created in 26
7.5a + 4.5s
Then substitute in the amount of people into their respective categories.
7.5(2) + 4.5(3) = 22.50
The table below represents a function.
what could be the equation of the function?
===============================================================
Explanation:
Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.
Use the slope formula to find the slope of the line through (-6,9) and (-4,6)
m = (y2-y1)/(x2-x1)
m = (6-9)/(-4-(-6))
m = (6-9)/(-4+6)
m = -3/2
m = -1.5
Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).
So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.
As a check, let's try something like x = 2
y = -1.5x
y = -1.5*2
y = -3
This verifies the second to last row of values. I'll let you check the other rows.
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answer:
Subtract four to get the next term.
Step-by-step explanation:
66 - 4 = 62
62 - 4 = 58
58 - 4 = 54
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer:
B
Step-by-step explanation:
Subtract 4
Plz help me answer this question
Answer:
I think it's the top left one
Step-by-step explanation:
The length is 6, the width is 3, and the height is 4, which matches the expression.
Step-by-step explanation:
[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]
answer if you can please
Answer:
[tex] - \frac{9}{10} - ( - \frac{3}{10} ) \\ \\ = - \frac{9}{10} + \frac{3}{10} \\ \\ = \: - \frac{ 6}{10} [/tex]
I hope I helped you^_^
Answer:
-3/5
Step-by-step explanation:
1.) -9/10 - (-3/10)
2.) This___(-9)+3___ (DO NOT SIMPLIFY) over 10 or
(-9)+3 / 10
3.) -3/5
The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.
Answer:
Let the other number be
′
x
′
Given:LCM+HCF=600
⇒14HCF+HCF=600
⇒15HCF=600
⇒HCF=40
⇒LCM=14×40=560
Since HCFxLCM=Product of 2 numbers
=>40×560 = 280×x
⇒x=
280
40×560
⇒x=40×2
⇒x=80
hence the other number is 80.
Use the distributive property to write an equivalent expression.
8(3v+3w-2)
Answer:
8(3v+3w-2)=(8×3v+8×3w-8×2)
Step-by-step explanation:
8×3v=24v.
8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)
8×(-2)=-16.
b-8y when b=-6 and y=4
Answer:
-38
Step-by-step explanation:
b-8y
(-6)-8(4)
-6-32
-38
hope it helps youplease follow mewhat are the steps in order needed to solve
x/2-5=20
x/2-5=20
(x-5*2)/2=20
(x-10)/2=20
x-10=20*2
x-10=40
x=40-10
x=30
Answer:
x/2-5=20
x=20(2-5)
x=40-100
x= -60
graph the function. f(x)=−∣∣x+2∣∣+1
Answer:
f(x)=-|x+2|+1
I've attached the graph for it
points....................
Answer:
what.....................
Answer:
muchas gracias por los puntos
que tengas un buen dia
The formula used to convert degrees Celsius to degrees Fahrenheit is
F=?C +32
Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
Answer:
9
Step-by-step explanation:
The correct conversion is 68°F = 20°C.
What is unit conversion?
Conversion is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that;
To convert 68°F
Now,
To solve the formula for C, we need to isolate C on one side of the equation. We can do this by subtracting 32 from both sides and then dividing by 1.8. The steps are:
F = 1.8C + 32
F - 32 = 1.8C
(F - 32) / 1.8 = C
Therefore, the correct formula for C is:
C = (F - 32) / 1.8
To convert 68°F to degrees Celsius, we can plug in F = 68 into the formula and simplify. The steps are:
C = (68 - 32) / 1.8
C = 36 / 1.8
C = 20
Therefore, after conversion the answer will be 68°F = 20°C.
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Find the Value of X
(please don't just give me a fake answer)
Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?
Answer:
543 centimeters or 5 meters 43 centimeters
Step-by-step explanation:
663+224=887
887-344=543
28 + 2h = 2h + 6. What does “h” equal?
2h – 2h = 28-6 —> 0 = 22
It cannot be solved because 2h -2h equals zero, so there is no h .
-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23
Answer:
[tex]x = - \frac{85}{46} [/tex]
[tex]y = - \frac{64}{23} [/tex]
[tex]z = \frac{209}{46} [/tex]
The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100
A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.
Answer:
the cost continues to increase
Step-by-step explanation:
the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.
The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]
Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]
To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]
Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).
Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
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r-6
--------- = - 3
- 3
Answer:
r=0
Step-by-step explanation:
What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°
Answer:
90 degrees
Step-by-step explanation:
When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.
360 / 4 = 90
Best of Luck!
The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The smallest angle of rotational symmetry for a square is 90°.
This means that the square can be rotated by 90° and still look the same.
It can also be rotated by 180° and 270° to look the same,
but the smallest angle is 90°.
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PLEASE HELP!! i can’t figure this out!
Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.
Answer:
1,-1
Step-by-step explanation:
midpoint is (-3)+5÷2 ; (-3)+1÷2
=1;-1
Josh received his allowance on Tuesday. He spends 3/8 of his allowance on Tuesday night and 2/3 of the remainder on Wednesday morning. What part of his allowance is left for the rest of the week?
Josh starts with 8/8 (or any other fraction that equals 1) of his allowance. He then spends 3/8 of it.
8/8 x 3/8 = 3/8
8/8 - 3/8 = 5/8
He spend 3/8 of his allowance, leaving him with 5/8 left. Then Josh spent 2/3 of that remaining amount.
5/8 x 2/3 = 10/24 = 5/12
Josh has 5/12 of his allowance left for the rest of the week.
Hope this helps!
solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2
Answer:
-2 < x <= 0
Step-by-step explanation:
Isolate the variable.
-4 < 3x + 2 <= 2
Subtract 2 from each side.
-6 < 3x <= 0
Divide both sides by 3
-2 < x <= 0