1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
If your question is what the value of the number you started with the answer would be 30. to find it you add 48 to -18 and you get 30.
<span>Amplitude: 3; period: pi/2; midline: y = 2</span>
The answer would be 2 and 3/10. To find this, I multiplied 1 and 1/2 by 2 and 3 and 1/2 by two. So, now to make 3 dozen muffins, a recipe uses 7 cups of flour. I did this because obviously dividing 3 and 7 are easier and its hard to find how many cups of flour make 1 dozen when you have the equation for 1 and 1/2 because 1 doesn't go into 1 and 1/2 equally. Now, with the new equation, I can just divide 3 by 3 to get 1 (which would be 1 dozen muffins) and also divide 7 by 3 to get 2.3. 2 is obviously the whole number in the mixed number and .3 is the fraction, which is 3/10. Hope this helps!
Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.
<h3>Linear equation</h3>
A linear equation o line can be expressed in the form y = mx + b
where
- x and y are coordinates of a point.
- m is the slope.
- b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
<h3>Line in this case</h3>
In this case, you know:
- The line has a slope of 1/3.
- The line passes through the point (-2, 1).
Substituting the value of the slope m, you get:
<u><em>y= 1/3x + b</em></u>
Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:
1= 1/3× (-2) + b
1= - 2/3 + b
1 + 2/3= b
<u><em>5/3= b</em></u>
Finally, the equation of the line is y= 1/3x + 5/3.
Learn more about equation of a line:
brainly.com/question/20842634
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