Answer:
49
Step-by-step explanation:
Root is the opposite of a power of 2.
Find 7 to the power of 2 to find the number inside:
7^2 = 7 * 7 = 49
49 is your answer, or B)
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Answer:
Get a line of which you want to know the slope. Make sure that the line is straight.
Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ).
Pick which point's coordinates are dominant in your equation. ...
Set up the equation using the y-coordinates on top and the x-coordinates on bottom.
Answer:
On Blue print 18 centimeters represents <u>3.6 meters</u>.
Step-by-step explanation:
Given:
Scale is 10 cm = 2 m
We need to find the number of actual meters are represented by 18 1818 centimeters on the blue print.
Solution:
Now we know that;
10 cm = 2 m
so 1 cm = Number of meters in 1 cm.
By using Unitary method we get;
Number of meters in 1 cm = 
Now we know that;
1 cm = 0.2 m
18 cm = Number of meters in 18 cm.
Again by using Unitary method we get;
Number of meters in 18 cm = 
Hence On Blue print 18 centimeters represents <u>3.6 meters</u>.
Answer:
have a great day
Step-by-step explanation:
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°