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love history [14]
3 years ago
15

What is the solution to the system of equations below ?

Mathematics
1 answer:
adell [148]3 years ago
3 0
Your answer is C because 3 x 3 is 9 and 9 + 1 is 10 and 10 + 8 is 18
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I'm lazy and dont feel like doing math myself. So pls help me!
s2008m [1.1K]

Answer:

55

Step-by-step explanation:

Well you just plug in 10 as n.. and you get the equation:

\frac{10(10+1)}{2} \\\frac{10(11)}{2}\\\\\frac{110}{2}\\\\55

8 0
2 years ago
What is the 308th term of the sequence 11,12.5,14,15.5,17...
Alecsey [184]

\huge\boxed{471.5}

The formula for an arithmetic sequence is as follows:

a_n=a_1+(n-1)d

In this formula, a_n represents the nth term of the sequence and d represents the common difference between each term.

Plug in the known values.

a_{308}=11+(308-1)1.5

Subtract.

a_{308}=11+307*1.5

Multiply.

a_{308}=11+460.5

Add.

a_{308}=\boxed{471.5}

6 0
3 years ago
What other information do you need in order to prove the triangles congruent using the SAS congruence postulate
iren [92.7K]

AC is perpendicular to BD.

<h3>Further explanation</h3>
  • We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that \boxed{ \ \overline{AC} \cong \overline{AC} \ } is reflexive.
  • The length of the base of the triangle is the same, i.e., \boxed{ \ \overline{BC} = \overline{CD} \ }.
  • In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely \boxed{ \ AC \bot BD \ }. Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

  • \boxed{ \ \overline{BC} = \overline{CD} \ }
  • ∠ACB = ∠ACD
  • \boxed{ \ \overline{AC} = \overline{AC} \ }

- - - - - - - - - -

The following is not other or additional information along with the reasons.

  • ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and \boxed{ \ \overline{AC} \cong \overline{AC} \ }
  • ∠BAC = ∠DAC no, because that is ASA with \boxed{ \ \overline{AC} \cong \overline{AC} \ } and ∠ACB = ∠ACD.
  • \boxed{ \ \overline{BC} = \overline{CD} \ } no, because already marked.

- - - - - - - - - -

Notes

  • The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
  • The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  
  • The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
  • The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  
<h3>Learn more</h3>
  1. Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  
  2. Which shows two triangles that are congruent by AAS brainly.com/question/3767125
  3. About vertical and supplementary angles brainly.com/question/13096411  
9 0
3 years ago
Read 2 more answers
A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)
valentinak56 [21]

Answer:

The triangle could be a right triangle.

Step-by-step explanation:

Right triangles have right angles. (90 degrees). All triangles have 3 angles that add up to 180 degrees. So as long as one of the angles is 90 degrees, it's a right triangle.

8 0
3 years ago
Read 2 more answers
A life insurance policy costs $13.58 for every $1,000 of insurance. At this rate, what is the cost of $80,000 of insurance?
oee [108]

Answer:

80 times 13.58 =1086400

Step-by-step explanation:

7 0
3 years ago
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