Answer:11/14
Step-by-step explanation:
Let's multiply the numerators first. 22 x 1 is 22, so your numerator is 22.
The denominator: 7 x 4= 28, your denominator is 28.
Your answer <u><em>would</em></u> be 22/28.
However, we can simplify this.
22 and 28 are both divisible by 2.
22/2=11
28/2=14
Your final answer is <u><em>11/14</em></u>
Answer:
GD = 5/2 sqrt 2 = 2½ sqrt 2
EG = 5/2 sqrt 6 = 2½ sqrt 6
the theorems that explain congruence in the given triangles are:
fig 1 -SSS
fig 2-SAS
fig 3-ASA
fig 4-AAS
<h3>
What is congruence in triangle?</h3>
if two triangles have the same number of sides and angles, they are said to be congruent. However, only three of these six angles and sides need to be examined in order to determine whether the three are congruent. The five congruent triangle theorems are therefore SSS, SAS, AAS and ASA.
- The reason why it is SSS in figure 1 is because the three sides of one are equal to the three sides of the other.
- Figure 2 follows SAS indicates that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
- Figure 3 follows ASA theorem, first triangle's two angles and side that is included between its angles are equivalent to the second triangle's corresponding two angles and side, which is why the equation is asa.
- In figure 4 follows AAS theorem, two angles from one triangle and a non-included side from another triangle are congruent, which is why the symbol aas is used.
To know more about Congruence Theorem visit:
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Answer:
- 2x +3(8 -3x) = 3
- x = 3
- y = -1
Step-by-step explanation:
The second equation tells you ...
y = 8 -3x
Using this expression in the first equation gives you ...
2x +3(8 -3x) = 3
2x +24 -9x = 3 . . . . . eliminate parentheses
21 = 7x . . . . . . . . . . . add 7x -3
3 = x . . . . . . . . . . . . . . divide by 7
y = 8 -3×3 = -1 . . . . . . use the second equation to find y
The solution is (x, y) = (3, -1).
Answer:
20 units
Step-by-step explanation:
number of squares is going +2, number of side units is +4, following that pattern 7:16, then 9:20
