Answer:
4.31 kilometer
..........................................
Answer:
<em>XY = 92 units</em>
Step-by-step explanation:
<u>Similar Shapes</u>
Two shapes are similar if all their corresponding side measures are in the same proportion.
The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.
This means that the measure of VX is twice the measure of VW,
The measure of YV is twice the measure of UV
The measure of XY is twice the measure of UW
This last proportion gives the equation:
z + 46 = 2z
Solving for z:
z = 46
Thus, XY = z+46 = 92
XY = 92 units
Answer:
3.43%
Step-by-step explanation:
362-350=12
12:350*100 =
(12*100):350 =
1200:350 = 3.43
Answer:
x = 28
Step-by-step explanation:
From the figure attached,
AC ≅ FH [Given]
BC ≅ GH [Given]
AB ≅ FG [Given]
ΔABC ≅ ΔFGH [By SSS property of congruence]
Since, m∠A + m∠B + m∠C = 180°
50° + 69° + m∠C = 180°
119° + m∠C = 180°
m∠C = 180° - 119°
m∠C = 61°
m∠C = m∠H [Since, ΔABC ≅ ΔFGH]
(2x + 5)° = 61°
2x = 61 - 5
2x = 56
x = 28
If you would like to solve the equation 3 * (3 * x - 1) + 2 * (3 - x) = 0, you can calculate this using the following steps:
3 * (3 * x - 1) + 2 * (3 - x) = 0
3 * 3 * x - 3 * 1 + 2 * 3 - 2 * x = 0
9 * x - 3 + 6 - 2 * x = 0
7 * x + 3 = 0
7 * x = - 3 /7
x = - 3/7
The correct result would be - 3/7.