Answer:
Step-by-step explanation:
1). In ΔTPW and ΔGHD,
Triangles will be congruent by the properties of congruence,
1). SSS - (Sides - Side - Side) property of congruence
2). SAS - (Side - Angle - Side) property of congruence
3). ASA - (Angle - Side - Angle) property of congruence
2). ΔABE ≅ ΔMNP
∠A ≅ ∠M
∠B ≅ ∠N
∠E ≅ ∠P
Side AB ≅ Side MN
Side AE ≅ Side MP
Side BE ≅ Side NP
Another way to write the congruency statement → ΔAEB ≅ ΔMPN
3). ΔQRY ≅ ΔJLS
∠Q ≅ ∠J
∠R ≅ ∠L
∠Y ≅ ∠S
Side QR ≅ Side JL
Side RY ≅ Side LS
Side QY ≅ Side JS
Anthe way to write the congruency statement → ΔQYR ≅ ΔJSL
Answer:
The answer is 20
Step-by-step explanation:
Answer:
The solution of given equation is (2,5)
Step-by-step explanation:
The equations give to us are:
y - 3 = x
or
y = x + 3
y = x² - 6x + 13
We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.
Substitute (2,5) in both equations
y = x+3
5 = 2+3
5 = 5
TRUE
y = x² - 6x + 13
5 = 2² -6(2) + 13
5 = 5
TRUE
Similarly, we can also check the rest of the points, which come as FALSE.
Therefore, the solution of given equation is (2,5)
The correct answer, in minutes, is: " 16
minutes ".
_____
[<u>Note</u>: This is the same value as " 16 minutes and 20 seconds."].
_____
Step-by-step explanation:
Convert 980 sec to "minutes".
Note the exact conversion:
60 sec = 1 minute.
So: Given the values in this question:
60 sec / 1 minute = "x minutes/ 980 sec" ;
that is:
"
" ;
The units: "sec" ["seconds"] cancel out to: " 1 " ;
since: " [sec / sec = 1 ] ; and we can simplify and rewrite:
"
min."
→ Now, cancel out the last numerical value of "zero"
(in both the numerator and the denominator); that is: to simplify the expression further—by dividing each side by "10" ;
to get: "
min."
Then: divide the numerator by the denominator:
"[ 98 ÷ 6 = 16
minutes ] ; — which is our answer.
<u>Note</u>: "1/3" of: "1 minute" = (1/3)*(60 seconds) = 20 seconds.
So; "16 1/3" minutes = 16 minutes and 20 seconds".
_____
The correct answer, in minutes, is: " 16
minutes ".
[<u>Note</u>: This is the same value as " 16 minutes and 20 seconds."].
_____
Hope this answer and explanation is helpful to you!
Best of luck to you!
_____
Answer:
y = 2x - 3
Step-by-step explanation:
Take any tow point from the line
(x₁ , y₁) = (1 , -1) & (x₂ , y₂) = (0 , -3)
![Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C)
![= \frac{-3-[-1]}{0-1}\\\\=\frac{-3+1}{-1}\\\\=\frac{-2}{-1}\\\\=2](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-3-%5B-1%5D%7D%7B0-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3%2B1%7D%7B-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B-2%7D%7B-1%7D%5C%5C%5C%5C%3D2)
m = 2 & (1, -1)
y - y₁ = m(x -x₁)
y - [-1] = 2(x - 1)
y + 1 = 2x - 2
y = 2x - 2 - 1
y = 2x - 3