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Leto
3 months ago
11

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin

t C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C?
yards
The direct distance from A to C is more than
yards.
The inequality w <
represents the distance, w, that Pete might save by taking the direct path.
Mathematics
2 answers:
babunello [11.8K]3 months ago
8 2

Answer:

(a)

The distance from A to B to C equals 40 yards.

(b)

w is less than 40.

Step-by-step explanation:

The information provided states:

The distance from A to B is 15 yards.

Thus, AB is 15 yards.

The distance from B to C is 25 yards.

Therefore, BC is 25 yards.

(a)

The total distance from A to B to C is given by AB plus BC.

A to B to C = 15 + 25.

The total distance is 40 yards.

(b)

The direct distance from A to C (AC) must be shorter than the length of A to B to C.

AC is less than AB plus BC.

AC must be less than 15 + 25.

Thus, AC is less than 40 yards.

w is less than 40.


AnnZ [12.3K]3 months ago
9 0
The solutions are 40, 10, 30.
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Answer:

2.55 cubic meters of sand

Step-by-step explanation:

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5 0
3 months ago
Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are
tester [12383]

Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

Statements                                                                 Reasons

 1. AD ≅ BC; AD ∥ BC                                                1. provided

 2. ∠CAD and ∠ACB are alternate interior angles        2. definition of alternate interior angles

3. ∠CAD ≅ ∠ACB                                                    3. congruence of alternate interior angles

4. AC ≅ AC                                                              4. reflexive property

 5. △CAD ≅ △ACB                                                  5. SAS congruency theorem

6. AB ≅ CD                                                            6. Congruent triangles have congruent corresponding parts (CPCTC)

7. ABCD is a parallelogram                                  7. theorem for sides of parallelograms

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5 0
2 months ago
Read 2 more answers
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
tester [12383]

Respuesta:

Leslie determinó que el siguiente sistema de ecuaciones tiene infinitas soluciones. ¿Está en lo correcto?

x=4y-4

2x-8y=-24

A. Sí, Leslie está en lo correcto.

B. No, la solución es (-8,-24)

C. No, la solución es (0,-16)

D. No, el sistema de ecuaciones no tiene solución.

Explicación paso a paso:

debes resolverlo como un par de ecuaciones simultáneas y no hay soluciones

si necesitas una explicación más detallada, vuelve a publicar la pregunta y lo haré con gusto

por favor márcalo como el más útil


6 0
2 months ago
Read 2 more answers
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