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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

2 answers:

tamaranim1 [39]3 years ago

6 0

Answer: 69.75 miles

<u>Step-by-step explanation:</u>

The explicit rule for an arithmetic sequence is: $a_n=a_1+d(n-1)\ \text{where}\ a_1\ \text{is the first term and d is the difference}$

In the given problem, $a_1=1.75$ and d = 0.25

$a_n=1.75+0.25(n-1)\\.\quad=1.75+0.25n-0.25\\.\quad=0.25n+1.50\\\\a_{18}=0.25(18)+1.50\\.\quad=4.50+1.50\\.\quad=6.00$

The sum of an arithmetic sequence is: $S_n=\dfrac{a_1+a_n}{2}\cdot n$

$S_{18}=\dfrac{1.75+6}{2}\cdot 18\\\\.\quad=7.75\cdot 9\\\\.\quad=69.75$

miskamm [114]3 years ago

3 0

Akim ran 69.75 miles in the course of 18 days.

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Answer:

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Step-by-step explanation:

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x = 5 or x - 2 = 0 or x = 0 or x + 3 = 0

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3 years ago

HEY CAN ANYONE HELP ME!

nataly862011 [7]

Answer:

Given: In triangle ABC and triangle DBE where DE is parallel to AC.

In ΔABC and ΔDBE

$DE || AC$ [Given]

As we know, a line that cuts across two or more parallel lines. In the given figure, the line AB is a transversal.

Line segment AB is transversal that intersects two parallel lines. [Conclusion from statement 1.]

Corresponding angles theorem: two parallel lines are cut by a transversal, then the corresponding angles are congruent.

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$\angle BDE \cong \angle BAC$ and

$\angle BEC \cong \angle BCA$

Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.

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Statement Reason

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3 years ago

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scoundrel [369]

Answer:

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Step-by-step explanation:

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3 years ago