Answer:
They will be able to.
Step-by-step explanation:
You first want to make sure the first three families have enough to eat.
For further explanation look at the first image.
Just to make sure
For further explanation look at the second image.
The rest of the images show a model solution.
Answer:
Yes they are similar.
There are three similarity criteria for triangles.
The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.
The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.
The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.
About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.
Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.
And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!
Answer:
1. Given
2. Definition of Congruent Angles
3. Triangle Interior Angle Sum Theorem
4. Transitive Property of Equality
5. Substitution Property of Equality
6. Definition of Congruent Angles
Answer:
A, B and C are placeholders for constants. (x and y are variables)
Answer:
37
Step-by-step explanation:
Naturals numbers are 1, 2, 3, 4, 5, ....
The difference in natural numbers are "1".
2 is "1" unit away from 1
3 is "1" unit away from 2
and so on...
So, if we let the unknown natural number be "x", then it follows that the next natural number would be "x + 1".
The question says that Sam added a natural number (let it be x) with the next natural number (that is x + 1) and got 75. So we can write:
x + x + 1 = 75
Now we add like terms and solve for x:
2x + 1 = 75
2x = 75 - 1
2x = 74
x = 74/2
x = 37
So Sam thought of the number 37
