<u>Given </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>prove</u><u> </u><u>:</u><u>-</u><u> </u>
- Sum of interior angles of a ∆ is 180° .
<u>Construction</u><u> </u><u>:</u><u>-</u>
- Draw a line MCN parallel to AB .
- Extend line AB to K .
<u>P</u><u>roof </u><u>:</u><u>-</u><u> </u>
In ∆ ABC , we have ,
As sum of two interior angles of a triangle is equal to the opposite exterior angle .
Also ,
ABC + CBK = 180°
( linear pair )
Hence from above two ,
<u>Hence </u><u>Proved</u><u> </u><u>!</u><u> </u>
Center of rhombus bisects 90°.
Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°
Answer: Be Te Dubs meaning BTW Go To TigerAlgebra.com for questions like yours its really great
Step-by-step explanation:
|3x+6|<12
One solution was found :
-6 < x < 2
Absolute Value Inequality entered :
|3x+6|<12
Step by step solution :
Step 1 :
Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|3x+6| < 12
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |3x+6|
For the Negative case we'll use -(3x+6)
For the Positive case we'll use (3x+6)
Step 3 :
Solve the Negative Case
-(3x+6) < 12
Multiply
-3x-6 < 12
Rearrange and Add up
-3x < 18
Divide both sides by 3
-x < 6
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -6
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(3x+6) < 12
Rearrange and Add up
3x < 6
Divide both sides by 3
x < 2
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
-6 < x < 2
Solution in Interval Notation
(-6,2)
Solution on the Number Line
One solution was found :
-6 < x < 2
Answer:
1. The bus shuttles <em><u>between</u></em> Delhi and Gurgaon.
2. The children ran <em><u>across</u></em> the bridge.
3. <em><u>Towards</u></em> evening, you can hear the frogs croak.
4. I dug the flowerbeds <em><u>with</u></em> a spade.
5. The mountaineer reached the peak <em><u>with</u></em> great difficulty.
Explanation:
Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.
The prepositions in the given sentences are underlined as follows-
1. The bus shuttles <u>between</u> Delhi and Gurgaon.
2. The children ran <u>across</u> the bridge.
3. <u>Towards</u> evening, you can hear the frogs croak.
4. I dug the flowerbeds <u>with</u> a spade.
5. The mountaineer reached the peak <u>with</u> great difficulty.
In the order of operations, parentheses come before addition.
-0.75 + 0.4 = -0.35
-0.35 + -0.35 = -0.7.
-0.35 + (-0.75 + 0.4) = -0.7
Hope this helps! Have an awesome day :)
