Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠
A
+
∠
C
=
180 o
=
∠
B
+
∠
D
⇒
2
x+
(
3
x
−
5
)
=
180 0
=
(
x
+
5
)
+ ∠ C
5
x − 5 = 180
Add 5 to both sides
5
x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
Answer:
y = 2x + 6 and 2y-4x=12 are the same line, so have infinitely many solutions.
Step-by-step explanation:
2y - 4x = 12
This is the same as y = 2x + 6
Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
Good evening ,
______________
Look at the photo below for the answer.
:)
Answer:
<u>Kevin's height increased 19.05%</u>
Step-by-step explanation:
Height of Kevin at the beginning of sixth grade = 4’10”
Height of Kevin at the end of ninth grade = 5’9”
What was the percentage of increase in Kevin height?
For answering this question, we should convert Kevin's heights to decimal number, this way:
1 feet = 12 inches
4’10” = 4 10/12 = 4.83
5’9” = 5 9/12 = 5.75
Now, let's use the Direct Rule of Three:
Height Percentage
4.83 100
5.75 x
***********************************
4.83x = 5.75 * 100
4.83x = 575
x = 575/4.83
x = 119.05
119.05 - 100 = 19.05
<u>Kevin's height increased 19.05%</u>