Rather than trial and error, you can do this with an equation.
x + x+1 + x+2 = 267 =>
3x+3 = 267
x = 264/3 = 88
So the numbers are 88+89+90. 90 is the largest number.
An absolute value is positive value of any value. So the abs value of -28 is 28. The abs value of 67 is 67. Makes sense?
If it were |27-3| for example, treat the inside of a abs as parenthesis, so you must complete PEMDAS inside of it to reduce the equation to |24|, unless you wanted it to become |27| - |3|.
For functions, this becomes slightly different and more difficult, especially when adding a variable such as x. Look below for a sample equation.
|2x-3|=1
This equation will actually have (and most others) 2 solutions for x. To find these, you’ll need to multiply the inside of the abs by -1 for one equation, and leave it as it is for the other!
2x-3=1 -(2x-3)=1
Now you have to solve BOTH equations to get your correct x-value answers.
For the first listed equation:
2x=4
x=2
For the second listed equation:
-2x+3=1
-2x=-2
x=-1
So you get the x-values -1 and 2 which both make the parent function true!
Answer: "No, the triangles are not necessarily congruent." is the correct statement .
Step-by-step explanation:
In ΔCDE, m∠C = 30° and m∠E = 50°
Therefore by angle sum property of triangles
m∠C+m∠D+m∠E=180°
⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°
⇒m∠D=100°
In ΔFGH, m∠G = 100° and m∠H = 50°
Similarly m∠F +∠G+m∠H=180°
⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°
⇒m∠F=30°
Now ΔCDE and ΔFGH
m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°
by AAA similarity criteria ΔCDE ≈ ΔFGH but can't say congruent.
Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.
Answer:
3rd option
Step-by-step explanation:
tanB = 
= 
= 
exponents could be any number between 1 and 10
