Let's say the larger number is x. that means that the smaller number is x - 3. since you know their sum is x + x - 3, and that is equal to 14. so you have the equation x + x - 3 = 14. combine like terms (x) to get 2x - 3 = 14. add three to both sides to get 2x = 17. divide both sides by two to get x = 17/2. so the larger number is 17/2, and the larger number is 11/2 (17/2 - 3 = 11/2)
1.) the line makes triangle
2.) triangles always equal 180 degrees
3.)180-108-37=35
4.)35=8x+3
5.) 32=8x
6.)4=X
D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.
<h3>How to carry out transformations?</h3>
From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.
The last step to get this proof of congruency is to reflect across the y-axis.
Read more about transformations at; brainly.com/question/4289712
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The angle formed by two tangles results in half of the difference of the two arcs.
That is to say
70 = .5(Major arc - minor arc)
Think of the major arc as the larger and the minor the smaller.
So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.
140 = major arc - minor arc.
Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.
140 = major arc - x
360 = major arc + x
Use linear combination and add these equations to get
500 = 2*major arc
major arc = 250
minor arc or x = 110.
The answer is 110 degrees.
