Now, determine whether the relationship between the two triangles you found in the first task is true for any two triangles. For any line, if you draw two right triangles using the line as the hypotenuse, can the triangles be congruent? Why or why not? Do they have to be congruent? Why or why not?
Answers
Answer:
They are not congruent based on the drawing. I don't know what they mean by "do they have to be congruent?", as they don't have to be congruent unless the teacher is asking for them to be congruent.
Step-by-step explanation:
Congruency in geometry is defined as identical in form, meaning that it must follow CPCTC (and can be proven in many different ways).
In the case of the given triangles they are not congruent, as DE and AD do not share congruency with BA and CB, respectively. At best, the two given triangles are similar triangles, as ΔADE is a 2x scale factor of ΔCBA.
I am not sure what the question about "do they have to be congruent" is for. Obviously they aren't congruent and so they don't have to be? There is nothing that states they have to be congruent. If you are aiming for congruency, lines AB & CB's measurements would simply have to match that of ED & AD, respectively.
~
Answer:
The relationship we found is that:
The triangles have same vertical/horizontal segment ratio or slope.But this doesn't indicate the triangles are congruent. They have different side lengths which makes them similar but not congruent.
They can be congruent if corresponding sides are of same length.
Related Questions
Solve for r.
3(r − 12) = 15
r =
Answers
Answer:
Step-by-step explanation:
3(r-12)=15
3r-36=15
3r=51
r=17
Answer:
17
Step-by-step explanation:
3(r-12)=15
3*r - 3*12 =15
3r -36 =15
3r -36 +36 = 15+36
3r =51
3r/3 = 51/3
r= 17
The sum of an integer and 8 more than half of this integer is at most 59. What is the maximum value of this
integer?
Answers
Answer:
The biggest number usable is 34
Step-by-step explanation:
x + (1/2 x + 8) ≤ 59 Remove the brackets
x + 0.5x + 8 ≤ 59 Combine
1.5x + 8 ≤ 59 Subtract 8
1.5x ≤ 59 - 8 Combine
1.5x ≤ 51 Divide by 1.5
1.5x/1.5 ≤ 51/1.5
x ≤ 34
Solve the system using matrix. Leave answer (x,y,z) 4x+y - 2z=-6, 2x - 3y+3z=9, x - 2y = 0
Answers
HELP ASAP WILL GIVE BRAINLIST
Answers
4-5
Hope it helps you
Use the table to work out the values of a , b , c , and d .
Answers
Answer:
a = - 1, b = - 3, c = - 5, d = - 6
Step-by-step explanation:
Substitute the appropriate values of x into the equation and evaluate
x = - 3 : y = - (- 3) - 4 = 3 - 4 = - 1 → a
x = - 1 : y = - (- 1) - 4 = 1 - 4 = - 3 → b
x = 1 : y = - 1 - 4 = - 5 → c
x = 2 : y = - 2 - 4 = - 6 → d
Answer:
Step-by-step explanation:
[tex]f(x) = -x-4\\f(-3)=-1\\f(-1)=-3\\f(1)=-5\\f(2)=-6[/tex]
Problem 1
Calculate the slope of each line. Click on the
appropriate cell in the table to highlight the
line you are interested in.
(-5, 7) (1, 1)
(2, 6) (8, 4)
(-6, -3) (-2,-8)
Answers
Answer:
13
Step-by-step explanation:
Find y-int of table m=11-2 = 9 2 = 9 (-5)+b. 10-(-5) 15. What is the value of x in the equation shown below? 2(x + 8) - 4x = 10x + 4 solve for X.
13 pages
1. A cylindrical jar has a radius of 5 inches and a height of 9 inches. The jar is filled with marbles that have a volume of 20 in3. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?
b. How many whole marbles can fit in the jar?
Answers
Answer:
hi sorry its 60 inces
Step-by-step explanation:
Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10.
Answers
Answer:
y=-9x-10
Step-by-step explanation:
First, start by putting the first equation into slope intercept form:
y=-9x+5
We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.
To have the same y intercept as y=-8x-10, the y intercept would have to be -10.
Therefore, the formula would be y=-9x-10
Answer:
y = - 6/5x + 8/9
Step-by-step explanation:
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have the following equations:
Equation 1:
By definition, if two lines are perpendicular then the product of their slopes is -1:
Equation 2:
Finally, the requested equation is:
Can anyone help me ASAP!
Answers
Answer:
65 feet
Step-by-step explanation:
That's what I think, I really don't know so don't count on it.
Answer:
C. 91.9 feet.
Step-by-step explanation:
some fraction can give us whole numbers by dividing the numerator by the denominator. 24/4
Answers
Answer:
6
Step-by-step explanation:
24/4=x
x=24/4
24 divided by 4 is 6 because 6 times 4 is 24
I'll mark brainiest. Please Show all your work when simplifying
[(x^2-3x+2) / (x^2-5x+4)] - [(x^2+10x+24) / (x^2+8x+12)]
Thankyou
Answers
The result after simplifying the expression is [tex]\frac{12}{x^2-2x-8}[/tex]
Given the difference of function expressed as:
[tex]\frac{x^2-3x+2}{x^2-5x+4} -\frac{x^2+10x+24}{x^2+8x+12} \\[/tex]
Factorize the quadratic equations:
[tex]=\frac{x^2-2x-x+2}{x^2-4x-x+4} -\frac{x^2+4x+6x+24}{x^2+6x+2x+12} \\=\frac{x(x-2)-1(x-2)}{x(x-4)-1(x-4)} -\frac{x(x+4)+6(x+4)}{x(x+6)+2(x+6)}\\=\frac{(x-1)(x-2)}{(x-1(x-4)} -\frac{(x+6)(x+4)}{(x+2)(x+6)}[/tex]
Cancel out the common terms:
[tex]\frac{(x-2)}{(x-4)} -\frac{(x+4)}{(x+2)}[/tex]
Find the LCM of the resulting expression
[tex]=\frac{(x-2)}{(x-4)} -\frac{(x+4)}{(x+2)}\\=\frac{(x+2)(x-2)-[(x-4)(x+4)]}{(x-4)(x+2)} \\=\frac{x^2-4-(x^2-16)}{(x-4)(x+2)} \\=\frac{x^2-4-x^2+16}{(x^2+2x-4x-8)}\\=\frac{12}{x^2-2x-8}[/tex]
Hence the result after simplifying the expression is [tex]\frac{12}{x^2-2x-8}[/tex]
Learn more here: https://brainly.com/question/17431959
A bike shop has 11 red bikes, 33 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3 _____. Choose 1 answer:
Answers
Answer:
Silver bikes
Step-by-step explanation:
1 orange bike = 3 silver
4 organ bikes = 12 silver
Lol I said organ
Nobody is laughing :l
Parallelogram EFGH is the output of the transformation as defined below.
▱ EFGH = Ro 90° ( ▱ ABCD)
Draw ▱ EFGH
Answers
Parallelogram EFGH has vertices at E(-1, 4), F(-1, 6), G(3, 3) and H(3, 5)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If point A(x , y) rotated about the origin by angle 90°, then its image is A'(-y , x).
The parallelogram ABCD has vertices at A(4,1), B(6, 1) C(3, -3) and D(5, -3).
Hence the transformation EFGH = Ro 90° ( ▱ ABCD), gives:
E(-1, 4), F(-1, 6), G(3, 3) and H(3, 5)
Parallelogram EFGH has vertices at E(-1, 4), F(-1, 6), G(3, 3) and H(3, 5)
Find out more at: https://brainly.com/question/11707700
11111111111111111111111111111111x2222222222222222222222222222222222222222222222222222222222222
Answers
Answer:
222222222222222222
Step-by-step explanation:
Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.
I need help on this, asap‼️
Answers
Answer:
A: 2 1/2 ft^2/h
B: 3 1/3 ft^2/h
B has the greater rate
Step-by-step explanation:
The rate in square feet per hour is found by dividing square feet by hours.
Machine A:
(5/8 ft^2) ÷ (1/4 h) = (5/8)×(4/1) ft^2/h = 5/2 ft^2/h = 2 1/2 ft²/h
Machine B:
(2/3 ft^2) ÷ (1/5 h) = (2/3)×(5/1) ft^2/h = 10/3 ft²/h = 3 1/3 ft²/h
Machine B has the greater rate.
i need help with slope intercept formmm
Answers
Answer:
Here are some screenshots from my study guides on this, maybe they can help you.
Answer:
slope intercept form is y=mx+b
Step-by-step explanation:
y= y cordinate point
x= c cordinate point
m= slope (rise over run)
b= y intercept (where a line intercepts the y axis)
anyone know what 1 and 2 pls help will give brainliest
Answers
Answer:
no se ve
Step-by-step explanation:
I NEED THE RIGHT ANSWER PLZZ helpppppppppppp meeeeeeeeeeee ASAP A line passes through (2, −1) and (4, 5). Which answer is the equation of the line?
Question 5 options:
y=3x−7
y=35x+135
y=3x+17
y=35x−135
Answers
Answer:
the answer to the first question is B.
Step-by-step explanation:
plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer: I'm pretty sure the answer is B
Step-by-step explanation: Because.. it's not a function if it intersects the line more than one, and Graph B only intersects it once.
If 2x=9 what is the answer for x
Answers
Answer:
9/2 or it can also be 4½ if not wrong.
also 4.5
Answer: x = 4.5
Step-by-step explanation:
that or 9/2 or 4 1/2 !
Which expression is equivalent to 4^-8/4^-4
Answers
It's on the picture......................
Find LM
I need help understanding this
Answers
So i think the answer is = 8
But I’m not so sure of it and good luck
4) Write two expressions that are equivalent to -5/4x - 3/4
Answers
Answer:
-1/4(5x+3)
-(5/4x+3/4)
Step-by-step explanation:
Hope this helps!
Help me solve this pls
Answers
Answer:
perpendicular bisector of AB
Step-by-step explanation:
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
so perpendicular bisector of AB
Find the slope of the points (3, 18 ) and (0, 18)
Answers
Answer:
0
Step-by-step explanation:
→ State the slope formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ State each value
x₁ = 3, y₁ = 18, x₂ = 0 and y₂ = 18
→ Substitute in each value into the formula
( 18 - 18 ) ÷ ( 0 - 3 )
→ Simplify
0
Simply the expression below
(10-3i)(2-5i)
Answers
Answer:
7i and 3i
hope this helps <33
Answer:
Step-by-step explanation:
Use foil method
(10 - 3i) (2 -5i) = 10*2 + 10*(-5i) + (-3i)*2 + (-3i)*(-5i)
= 20 - 50i -6i + 15i²
= 20 - 50i - 6i + 15*(-1) {i² = -1}
= 20 - 50i - 6i - 15
= 20 - 15 - 50i - 6i
= 5 - 56i
4 terms for this sequence plsss i’ll give brainliest
Answers
Answer:
[tex]4n^{2}[/tex]-4n+1
Step-by-step explanation:
hopfully this is what you were looking for
what is the sum of 123476859 and 9757897465
Answers
Answer:
9881374324
Step-by-step explanation:
help pls will mark brainlest
Answers
3x-3=180
3x=183
X=61
What is the solution set of the equation - 52 – 15| = 10?
-
=
A {2,4}
B. {7}
CO{4}
D.{-1,7}
SIA
PLS HELP
Answers
Answer:
{-1,7}
Step-by-step explanation:
1/2 | 5x-15| = 10
Multiply each side by 2
1/2 *2 | 5x-15| = 10*2
| 5x-15| = 20
Absolute value equations have two solutions, one positive and one negative
5x-15 = 20 5x-15 = -20
Add 15 to all sides
5x-15+15 = 20+15 5x-15 +15 = -20+15
5x= 35 5x=-5
Divide by 5
5x/5 = 35/5 5x/5 = -5/5
x=7 x=-1
