Answer:
34 degrees and 56 degrees
Step-by-step explanation:
As the two given angles are complementary,
2x-10+3x-10=90
5x-20=90
5x=90+20=110
x=110/5=22
x=22
Now each angle
2x-10=2*22-10=34 degrees
and
3x-10=3*22-10= 56 degrees
Answer:
These parallel lines cross 1 line. Because they are parallel they will form the same angles on that line. Therefore, x+50 = 3x-100 since those angles are corresponding angles made by a pair of parallels.
To find x we need to find what value of x gives the same answer for 3x-100 and x+50 since those 2 angles are equal.
x+50 = 3x-100 - now all we need to do is solve for x:
x+50 = 3x-100
50=2x-100
150=2x
75=x
x=75
Step-by-step explanation:
Answer:
Ricky hits 1202 base
Pedro hits = 1485 base
Step-by-step explanation:
Pedro + Ricky = 2687 hits
Let Ricky hits = x
So the Pedro hits will be = x + 283
( x + 283 ) + x = 2687
2 x + 283 = 2687
2 x = 2687 - 283
2 x = 2404
x = 1202
So the Ricky hits 1202 base
Pedro hits (1202 + 283) = 1485 base
Step-by-step explanation:
because VW || YZ, the 2 triangles are similar.
this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.
and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.
so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.
e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.
7.2 × f = 12
f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3
x × 5/3 = x + 4
5x = 3x + 12
2x = 12
x = 6
A to Y = x = 6
W to A = x + 4 = 6 + 4 = 10
