Answer:
The third angle measures 80°
Step-by-step explanation:
Let us solve the question
In any triangle
∵ The sum of the measures of the interior angles of a triangle is 180°
∵ The angle of triangles are ∠1, ∠2, and ∠3
∴ m∠1 + m∠2 + m∠3 = 180°
∵ Two of the angles of the triangle are 30° and 70°
∴ m∠1 = 30°
∴ m∠2 = 70°
→ Substitute them in the rule above
∴ 30° + 70° + m∠3 = 180°
→ Add the like terms
∵ (30 + 70) + m∠3 = 180
∴ 100 + m∠3 = 180
→ Subtract 100 from both sides
∵ 100 - 100 + m∠3 = 180 - 100
∴ m∠3 = 80°
∴ The third angle measures 80°
Hi There!
Step-by-step explanation:
27 1/2 = 27.5
3 1/2 = 3.5
27.5 / 3.5 = 7.8571... or 7 6/7
Answer:
7.8571... = 7 6/7
Hope This Helps :)
Answer is choice C
"Dilate with a scale factor of two" means "multiply each coordinate by two"
A = (2,3) turns into A' = (4,6)
B = (3,5) turns into B' = (6,10)
C = (7,4) turns into C' = (14,8)
Side Note: this quick shortcut only works if the center of dilation is the origin (0,0). If the center of dilation isn't the origin, then you will have to do a translation (shifting) before you can use the trick, and then you'll have to shift back. The idea of the shifting is so that the center of dilation becomes the origin on a temporary basis. Because no mention is made of the reference center, it is assumed to be the origin by default.
Answer:
Step-by-step explanation:
Any multiple of the given equation is also a dependent linear equation
From the equation
-5x+7y=2
Multiplying all through by any number, say 2
2(-5x)+2(7y)=2(2)
-10x+14y=4 is a dependent linear equation for -5x+7y=2
If you don't fancy using a multiple, you can write the gradient equation y=mx+c
-5x+7y=2
7y=5x+2
Dividing all through by 7 gives the equation as
y=5x/7 + 2/7
