Today: x=19
y=67+19=86
9 years ago: x=19-9=10
y=86-9=77
The total age 9 years ago: x+y=10+77=87
Answer:
32
Step-by-step explanation:
Remark
Every triangle has 180 degrees as the total of its 3 angles.
Equation
x + 98 + 50 = 180
Solution
Combine the like terms on the left
x + 148 = 180
Subtract 148 fro both sides of the equation
x + 148- 148= 180 - 148
Combine
x = 32
x is 32 degrees in size
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
This value also equals by bigger triangle as
From these two we get
h = height of street light =
U=-2/5, 1, hope this helps!
Answer:
D) 53 Degrees.
Step-by-step explanation:
Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.
1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.
2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.
3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.
