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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The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7
<h3>How to determine the ratio?</h3>
The given ratios are:
Dawn : Mandy = 6 : 7
Mandy : Belle = 2 : 3
Multiply the second ratio by 3.5.
So, we have:
Mandy : Belle = 2 * 3.5 : 3 * 3.5
Evaluate
Mandy : Belle = 7 : 10.5
So, we have:
Dawn : Mandy = 6 : 7
Mandy : Belle = 7 : 10.5
Mandy's ratios in both equation are the same.
So, we have:
Dawn : Mandy : Belle = 6 : 7 : 10.5
Remove Mandy's ratio
Dawn : Belle = 6 : 10.5
Simplify
Dawn : Belle = 4 : 7
Hence, the ratio of Dawn to Belle's savings is 4 : 7
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<span>2/3 (x-7)= -2
x - 7 = -2 * 3/2
x - 7 = -3
x = -3 + 7
x = 4</span>
Answer:
3/6
Step-by-step explanation:
I think it is asking for an answer choice equal to 1/2, and 3/6 is equal to 1/2.
Do you have a picture of the actual question?
Do 720 divided by 90 and then draw 7 100 base blocks 2 ten blocks and tjen divide 9 10 blocks! hope that helped