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Alexxandr [17]
3 years ago
8

The sum of two angles in a triangle totals 62.5 degrees. What is the other angles measure?

Mathematics
1 answer:
Advocard [28]3 years ago
7 0
**All 3 angles of a triangle have a sum of 180°.**

So if 2 of those 3 angles are 62.5°, you would just subtract that by 180°.

180 - 62.5 = 117.5

The third angle would have to be 117.5°.
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use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7
Dimas [21]

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

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6 0
3 years ago
Select all of the following that would be an acceptable set builder notation for the set {7, 8, 9, 10, 11, 12, 13, 14}.
ludmilkaskok [199]
<h3>Answer: Choice B</h3>

{x | x is a natural number with 6 < x < 15}

===========================================================

Explanation:

The given set is in roster notation. Think of a baseball or football team (or any sports team) how their roster lists out all of the players. In this case, each number is like a player.

The idea here is to simplify the set so we don't have to write out every single item. Instead we have a rule to make things a bit simpler.

In this case, the set {7, 8, 9, 10, 11, 12, 13, 14} describes all natural numbers from 7 to 14

This means we can say {x | x is a natural number with 6 < x < 15}

Note how the endpoints x = 6 and x = 15 are not included. This is because there isn't a "or equal to" as part of the inequality sign. Sure enough 6 and 15 are not part of the original set.

An equivalent set would be \{ x | \text{ x is a natural number with } \ 7 \le x \le 14\} and here we have "or equal to" involved. For this example, the endpoints x = 7 and x = 14 are included.

--------------

Something like choice A and choice D are not complete answers because we don't know if x is a whole number, natural number, rational number, real number, etc. If x was say a real number, then x = 10.75 would be involved with choice A. But 10.75 is not part of the original set.

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3 years ago
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Answer:

$2.4

Step-by-step explanation:

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Therefore,  3= 100x3/125

=300/125

=$2.4

hope it helps:D

plz mark me as brainliest

6 0
2 years ago
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