For this case we have the following relationship:
(x / 5280) = (7/100)
From this relationship we must clear the value of x.
Clearing we have:
x = (7/100) * (5280)
Calculating we have:
x = 0.07 * 5280
x = 369.6 feet
Answer:
it does rise in a horizontal distance of 1 mile about:
x = 369.6 feet
Answer:
or 
Step-by-step explanation:
The equation is already written in standard form.
You write the largest exponents to the left and the smallest to the right.
<u>Your expression: </u><u> can also be expressed as this below:</u>
t to the first power means mutiplying by t
t to the 0 power mean mutiplying by 1 or basically you get the same result
If t was 2...
Same result:
Answer:
x=5
Step-by-step explanation:
That is your answer .
First you do 4x-3+3=2x+7+3
then,4x=2x+10,then
subtract 2x from both side
4x-2x=2x+10-2x
simplify
2x=10
divide both sides by 2 2x/2=10/2
simplfy and you get x=5
Hope this helps :)
Answer:
Step-by-step explanation:
3) ΔABC ≅ ΔDEF
AB = ED {Corresponding parts of corresponding triangles are equal}
6y - 4 = 4y +2
add 4 to both sides
6y - 4 + 4 = 4y + 2 + 4
6y = 4y + 6
subtract 4y from both sides
6y - 4y = 4y + 6 - 4y
2y = 6
Divide by 2
y = 3
AB = 6y - 4 = 6*3 - 4 = 18 - 4 =14
AB = 14
ΔABC ≅ ΔDEF
∠A = ∠D {Corresponding parts of corresponding triangles are equal}
5x + 2 =87
5x = 87 - 2
5x = 85
x = 85/5
x = 17
In ΔDEF,
∠D + ∠E + ∠F = 180° {SUM OF ALL ANGLES OF TRIANGLES}
87 + 42 + ∠F = 180
129 + ∠F = 180°
∠F = 180 - 129
∠F = 51°
ΔABC ≅ ΔDEF
∠C = ∠F {Corresponding parts of corresponding triangles are equal}
3y = 51
y= 51/3
y = 17
In this case, the original figure is the large triangle and the dilated figure is the smaller dashed triangle. As early as this stage, we can already set that the dilation is a reduction. We can now eliminate the last choice which says enlargement.
One way to know how much did the figure reduce is by finding the areas of the bigger and smaller triangle. The area of a triangle is equal to half of the product of the length of its base and its height.
Area of larger triangle= 0.5(6 units)(4 units) = 12 square units
Area of smaller triangle = 0.5(3 units)(2 units) = 3 square units.
The ratio of the areas would be 3/12 = 1/4. Therefore, the answer is the first choice.
