Answer:
The value of x is 
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7
On simplification we get:
Hence, the value of x is .
Answer:
<em>1620in³</em>
Step-by-step explanation:
Volume of a rectangular prism = BH
B is the Base area
H is the height of the prism.
Given
B = 180in²
H = 9in
get the volume of the prism
Volume of the prism = 180 * 9
Volume of the prism = 1620in³
<em>Hence the volume of the rectangular prism is 1620in³</em>
You have to find X and RT by using SU as the median
Explanation: To find the median you have to list the number from least to greatest. Then the middle number is the median. Once you find the median substitute it for X.
Answer: 2,511 km
Step-by-step explanation:
5828.6*4.75 = 2,510.85 rounded to 2,511
Step-by-step explanation:
Given inequality is 
.
To graph that inequality, first we need to graph the line 
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into , we get:
Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:
Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into .
0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
