The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
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Answer:
6.89
Step-by-step explanation:
Add 6.89 and 14.52 together. Subtract 14.52 from that. You should get 6.89. Hope this helps.
Answer:
-191
Step-by-step explanation:
Replace variables with corresponding value.
3(3) + (-5)^2 - ((3)(-5))^2
Solve exponent.
3(3) + 25 - 225
Multiply.
9 + 25 - 225
Combine like terms.
-191
Answer:
the will be volume is 6cm
17. He needs 2cupsof flour to make 20 biscuits so he needs x cups if flour to make 30 biscuits
So he needs 3 cups of flour to make 30 biscuits.
So the answer is B
18. She charges 30$ for 2 hours so she charges x$ for 5hours.
so she charges 75$ for 5 hours.
So the answer is I
19. (an hour is 60 minutes)
She walks 2 blocks in 15 minutes so she walks x blocks in 60 minutes.
So she walks 8 blocks in 60 minutes.
So; the answer is: 8
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