We know: The sum of the measures of the angles of a triangle is equal 180°.
We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.
The equation:
65 + (3x - 10) + 2x = 180
(3x + 2x) + (65 - 10) = 180
5x + 55 = 180 <em>subtract 55 from both sides</em>
5x = 125 <em>divide both sides by 5</em>
x = 25
m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°
m∠C = (2x)° → m∠C = (2 · 25)° = 50°
<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>
The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38.
Numbers can be expressed, ordered and compared by a lot of
mathematical principles, properties, models and paradigms. There are different
properties of numbers to associate, group and distribute numbers. For example
commutative property of addition, 1 + 2 = 3 can be 3 = 1 + 2. Moreover, numbers
can be expressed by mathematical form, thus 100 wherein 1 is in the place order
of hundreds. And so on… other examples can be mathematical symbols or
inequality to compare numbers. For example, 1 > 2. One is less than 2.
Answer:
10
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-1.53 ÷ 0.17 = -9
check work:
-9 x 0.17 = -1.53
