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3 years ago

URGENT HELP PLEASE!

Mathematics

2 answers:

Harman [31]3 years ago

5 0

Answer:

2. Statement:AB=CD and BC=AD

$AB \parallel CD\; and \;BC \parallel AD$

Reason: Given .

8. Statement: $AB \cong CD$ and $BC \cong AD$

Step-by-step explanation:

Given

A quadrilateral ABCD is a parallelogram

$AB \parallel CD$ and $BC \parallel AD$

AB=CD and BC= AD

1. Statement: Quadrilateral ABCD is a parallelogram

Reason: Given

2. AB=CD and BC= AD ,

$AB \parallel CD$ and $BC \parallel AD$

Reason: Given

3. Draw AC is a transversal line that cuts two pairs of parallel lines AB and CD , BC and AD.

Reason: Drawing a line segment.

4. $\angle CAB \cong \angle ACD$

$\angle BCA\cong \angle CAD$

Reason: Alternate interior angles theorem

5. $m\angle CAB= m \angle ACD$

$m\angle BCA= m \angle CAD$

Reason: Congruent angles have equal measures.

6. AC= AC

Reason : Reflexive property of equality.

7. ASA criterion for congruence $\triangle ABC \cong \triangle ADC$

Reason : Angle-side_ Angle property of congruence

8. $AB \cong CD$ and $BC \cong AD$

Reason : Corresponding sides of congruent triangles are congruent.

Sonja [21]3 years ago

4 0

Statement: AB≈CD, BC≈AD
Reason: given

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One root of a third degree polynomial function f(x) is -5 + 2i. Which statement describes the number and nature of all

Sauron [17]

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

Complex roots:

I a complex number $a + bi$ is a root of a polynomial, it's conjugate $a - bi$ is also a root.

One root of a third degree polynomial function f(x) is -5 + 2i.

This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.

Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:

f(x) has two imaginary roots and one real root.

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3 years ago

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inysia [295]

Answer:

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A scuba diver descends farther down into the ocean from an initial depth of 14.7 feet below sea level. The scuba diver descends

uranmaximum [27]

The maximum rate, r, that the scuba diver may descend is r≤ 11.2

Given the following parameters:

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Time = 4.5 minutes

Rate = distance/time

If the scuba diver reaches a depth no more than 65.1 feet below sea level, then;

r ≤ (65.1 - 14.7)/4.5

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3 years ago

The data set below provides the monthly rent (in dollars) paid by 5 tenants. 879 , 920 , 940 , 950 , 990 Suppose the rent for on

MrRa [10]

Answer:

Mean before the rent changes = $935.8

Mean after the rent changes = $970.8

Step-by-step explanation:

Mean = sum of all data values / number of data values in a given data set

✔️Data set consisting of the rents of 5 tenants: 879 , 920 , 940 , 950 , 990

Mean before the rent changes = (879 + 920 + 940 + 950 + 990)/5 = 4,679/5 = 935.8

Mean before the rent changes = $935.8

✔️If one of the tenants rent changes from $940 to $1,115, the new data set would be:

879 , 920 , 1,115 , 950 , 990

Mean after the rent changes = (879 + 920 + 1,115 + 950 + 990)/5 = 4,854/5 = 970.8

Mean after the rent changes = $970.8

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3 years ago