Answer:
$110.88
Step-by-step explanation:
Let L be the length of the first fence surrounding the garden and P its perimeter.
For a square, P = 4L,
So, L = P/4
Since P = 36 feet,
L = P/4
= 36/4
= 9 feet
Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3
= 9 + 3
= 12 feet.
So, the perimeter of the second fence is P' = 4L'
= 4 × 12 feet
= 48 feet.
So, the total length of the two fences is P" = P + P'
= 36 feet + 48 feet
= 84 feet
Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88
Answer:
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Step-by-step explanation:
Given:
AD ≅ BC and AD || BC
To Prove:
ABCD is a Parallelogram
Proof:
Alternate Interior Angles Theorem :
"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Here AD || BC and the transversal is AC
Statement Reasons
1. AD ≅ BC . 1. Given
2. AD || BC 2. Given
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Answer:
x equal four-teen... I'm pretty sure brainliest plsss
<h3>Refer to the diagram below</h3>
- Draw one smaller circle inside another larger circle. Make sure the circle's edges do not touch in any way. Based on this diagram, you can see that any tangent of the smaller circle cannot possibly intersect the larger circle at exactly one location (hence that inner circle tangent cannot be a tangent to the larger circle). So that's why there are no common tangents in this situation.
- Start with the drawing made in problem 1. Move the smaller circle so that it's now touching the larger circle at exactly one point. Make sure the smaller circle is completely inside the larger one. They both share a common point of tangency and therefore share a common single tangent line.
- Start with the drawing made for problem 2. Move the smaller circle so that it's partially outside the larger circle. This will allow for two different common tangents to form.
- Start with the drawing made for problem 3. Move the smaller circle so that it's completely outside the larger circle, but have the circles touch at exactly one point. This will allow for an internal common tangent plus two extra external common tangents.
- Pull the two circles completely apart. Make sure they don't touch at all. This will allow us to have four different common tangents. Two of those tangents are internal, while the others are external. An internal tangent cuts through the line that directly connects the centers of the circles.
Refer to the diagram below for examples of what I mean.
Answer:
The money they will have to pay is <u>$861</u>.
Step-by-step explanation:
Given:
The swim team has 41 people on their team.
They need new swim gear the swim caps cost $5 and the swim suit cost $16.
Now, to find the money they will have to pay.
Number of people on the swim team = 41.
Cost of swim caps = $5.
Cost of swim suit = $16.
Now, to get the total money they will have to pay:
<u><em>Number of people on the swim team× (cost of swim caps + cost of swim suit)</em></u>



Therefore, the money they will have to pay is $861.