Answer:
8 meters
Step-by-step explanation:
This is a question that deals with Proportion
Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke
Length of the shadow of Luke = x
= 12/24 = 4/x
We cross Multiply
12 × x = 24 × 4
x = 24 × 4/12
x = 8 meters
Hence, the length of the shadow of Luke = 8 meters
Answer:
Angle 1 = 90 degree
Angle 2 = 55 degree
Angle 3 = 35 degree
Step-by-step explanation:
A rhombus has four equal sides. Since the intersection angle of a rhombus is always 90 degree, angle 1 is 90 degree
Angle 3 = 180 degree - 90 degree - 55 degree = 35 degree
Angle 2 = 180 degree - 90 degree - 35 degree = 55 degree
Answer:
x=8
Step-by-step explanation:
Angles 1 and 5 are corresponding angles.
If angles 1 and 5 are congruent, then the lines are parallel.
This means the measurement of angle 1 needs to equal the measurement of angle 5.
This is the equation we must solve:
3x+10=4x+2
Subtract 3x on both sides:
10=1x+2
Subtract 2 on both sides:
8=1x
Use multiplicative identity property:
8=x
So if x=8, then the angles 1 and 5 which are corresponding are congruent.
If corresponding angles are congruent, then the lines are parallel.
If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle. For the data set 1, 1, 2, 5, 6, 6, 9 the median is 5. For the data set 1, 1, 2, 6, 6, 9 the median<span> is 4.
</span>The mean<span> is the average of the numbers: a calculated "central" value of a set of numbers. To calculate: Just add up all the numbers, then divide by how many numbers there are.</span><span>
</span>
The answer in decimal form is 1.460593 and you can simplify it to 1.5
