Answer:
Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.
Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ
Hence, if we find the ratio of this, we can use it to find the side <em>h</em>
<em>QZ/ST=PZ/RT</em>
<em>48/12=PZ/4</em>
<em>PZ/4=48/12</em>
<em>(PZ/4)3=48/12</em>
<em>PZ(3)/12=48/12</em>
<em>48/3=16</em>
16=PZ.
3Step-by-step explanation:
Answer:
they need to sell 60 sweaters
10 more than 50
Step-by-step explanation:
20% of 100 is 20
20% of 50 is 10
20 divided by 2 equals 10
Answer:
<u>α = 29°</u>
Step-by-step explanation:
<u>Given values</u>
- Opposite side = √15
- Adjacent side = 7
<u>Missing value</u>
<u>Solving</u> :
- tanα = √15/7
- α = tan⁻¹ (√15/7)
- α = 28.8107937
- <u>α = 29°</u> (closest value)
<span> 1.08×10^15
------------------ = 0.4 x 10^4 = 4000
</span><span> 2.7×10^11
answer
4000 times greater</span>
Answer:
x = 9
Step-by-step explanation:
diagonals bisect each other so we can set up these equations:
x+8 = 2y+5
2x = 3y
in the top equation we can solve for 'x': x = 2y-3
in the second equation we can solve for 'x': x = 3y/2
2y-3 = 3y/2
multiply each side by 2 to eliminate fractions:
4y - 6 = 3y
4y = 3y + 6
y = 6
2x = 3(6)
2x = 18
x = 9
