Answer:
15. 17.5 ft
16. XZY ~ RPQ only
Step-by-step explanation:
15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.
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16. Triangles are similar when they have all the same angles. In the given triangles, you have ...
angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)
angle Z = angle P = 64°
angle Y = angle Q = 84°
The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...
triangle XZY ~ triangle RPQ
The answer is x= -5 ...explained... -2x + 5 -35x= 190...-37x +5 = 190 ... now subtract 190-5 = 185... divide 185 by - 37 and get -5
Answer:
D. 
Step-by-step explanation:
Area of sector of a circle is given as θ/360*πr²
Where,
r = radius = 12 cm
θ = 56°
Use 3.14 as π
Plug in the values into the formula and solve
Area of the sector ABC = 
The answer is D
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
