Answer:
C) The area of the landscape model is A = 40 sq ft.
Step-by-step explanation:
The original dimensions of the rectangular patio model is
Length = L
Width = W
Area of the patio model = LENGTH x WIDTH = L x W
⇒ A = L W ............. (1)
Now, the new area A" is enlarged by a factor of 2
⇒ The new Length = L" = (2 L)
The new Width = W" = (2 W)
So, AREA" = L" x W" = (2 L) x (2 W) = 4 (L W)
⇒ A " = 4 (L W)
But, L W = A .. from (1)
⇒ A" = 4 A
But, the area of the new enlarged patio is 160 square feet.
⇒ 160 sq ft = 4 x A
or, A = 160 / 4 =40 sq ft
⇒ A = 40 sq ft.
Hence, the area of the landscape model is A = 40 sq ft.
The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
We know that the angle ∠DFE is 90°.
Then the sum of the angle ∠CFD and ∠DFE will be
∠CFD + ∠DFE = 27° + 90°
∠CFD + ∠DFE = 117°
Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have
∠CFD = ∠DFE
Put the values
21x - 9 = 117
21x = 126
x = 6
More about the angled link is given below.
brainly.com/question/15767203
#SPJ1
Answer:
#1 - Two complementary angles with measures that have a sum of 90.
#2- angles with a common vertex and side.
#3 - two supplementary angles with measures that have a sum of 180.
#4 - the region of a plane inside an angle
#5 - the region of a plane outside an angle
#6 - an angle with a measure of anything less than 90 degrees.
#7 - an angle with a measure of anything greater than 90 degrees.
These all should be right :)
Lmk how I did!
Answer:
Step-by-step explanation:
x is at (0, 4)
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
