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uysha [10]
4 years ago
14

From a point 18 feet from the base of a tower, a wire is stretched to an attachment 40 feet up the tower. A right triangle with

legs of 18 ft and 40 ft. To the nearest foot, how long is the wire?
Mathematics
1 answer:
Tamiku [17]4 years ago
8 0
To find the length of the wire, use the Pythagorean theorem

a^2 + b^2 = c^2
18^2 + 40^2 = c ^2
324 + 1600 = c^2
1924 = c^2
44 = c

The wire is approximately 44 feet.
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Solve system by elimination -9x - y =-19 <br> 5x + y = 15
vredina [299]

Answer:

(1, 10 )

Step-by-step explanation:

Given the 2 equations

- 9x - y = - 19 → (1)

5x + y = 15 → (2)

Adding the 2 equations term by term will eliminate the y- term

- 4x + 0 = - 4

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + y = 15

5 + y = 15 ( subtract 5 from both sides )

y = 10

solution is (1, 10 )

6 0
3 years ago
Prove: Quadrilateral ABCD is a parallelogram.
Brilliant_brown [7]

Answer:

Step 3.

m∠ AEB = m∠ CED .........By  Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem:

Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.

If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.

Here,

∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.

∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.

For,

step 3. m∠ AEB = m∠ CED

Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.

6 0
3 years ago
How much simple interest rate would earn if had $10,000 and you were being paid 5% for 15 months?
lakkis [162]
Here is the interest equation: I=prt
Where I is interest, p is principal, r is rate and t is time(in years).
Substitute with known values.

I= prt
I= 10000(.05)(1 and 1 over 4)
I= 625
Answer: $625 for 15 months.
4 0
3 years ago
I need help ASEP please help me
Arisa [49]

Answer:

5

Step-by-step explanation:

it is 5 because you do 1+4=5

6 0
3 years ago
Show all of your work.
kirill [66]
864 shirts :) 36x 24
8 0
3 years ago
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