Let one angle be x
Let another angle be 17x
17x+x = 90
18x = 90
x = 90/18 = 5
one angle = x = 5
another angle = 17x =17*5 = 85
I hope it is helpful:D
Answer:
C
Step-by-step explanation:
Plug in -2 as x into the equation, if it equals y then it is correct ;) hope this helps
Answer: 3x + 4y = - 26
Explanation:
1) the standard form is Ax + By = C
2) given: y + 5 = - (3 / 4) (x + 2)
3) multiply both sides by 4:
4y + 20 = - 3 (x + 2)
4) expand the parenthesis using distributive property:
4y + 20 = -3x - 6
5) transpose -3x and 20
4y + 3x = - 20 - 6
6) combine like terms
4y + 3x = - 26
7) rearrange:
3x + 4y = - 26
That is the standard form of the linear equation given.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = ((- 2, - 3 ) and (x₂, y₂ ) = (x, 5x + 9 )
d = 
= 
= 
Answer:
A. 320
Step-by-step explanation:
See attachment for the figure
in order to determine Area of quadrilateral ABDF, we'll use the formula i.e
Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF ->eq(1)
whereas, area of AECD = (AC × AE)
Area of ΔBCD = 1/2 (BC x CD)
Area of ΔDEF =1/2 ( EF x ED)
Substituting in eq(1)
eq(1)=>
Area of quadrilateral ABDF = (AC × AE) - 1/2 (BC x CD)- 1/2 ( EF x ED)
=(32 x 20) - 1/2(16 x 20) - 1/2(10 x 32)
= 640 - 160 - 160
= 640 - 320
= 320 square unit
Therefore, the area of quadrilateral ABDF is 320 square unit