K is the constant of proportionality also the same as slope.
You can see the commonality in the equations
y = kx
y = mx + b
The difference is that is a direct proportion the line will always go through the origin so the b will be zero.
The answer is B.
Answer:
x=-2 y=3
Step-by-step explanation:
The substitution is basically given to you. Exchange x from the second equation with y-5
Once that is done and you combine the parentheses you get:
2y-10+y=-1
Add 10 on both sides of the equal sign
You get:
3y=9
Divide both sides by 3
You get:
y=3
To check your work you can substitute y in the second equation with 3 and solve it that way to get x=-2 (x equals negative two)
I believe it would be 115 plus 56. subtract that from 180. i believe thisbis your answer
Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
Answer:
70.1 ft
Step-by-step explanation:
The cosine relation gives the ratio of the adjacent side to the hypotenuse for an acute angle in a right triangle:
Cos = Adjacent/Hypotenuse
cos(37°) = SQ/QR
Rearranging gives ...
QR = SQ/cos(37°) = (56 ft)/0.798636 = 70.1 ft
The length of QR is about 70.1 ft.
