Answer:
The answer to your question is A) they are similar because of AA criterion
Step-by-step explanation:
- ∠ QYP is ≅ to ∠ DNP given
- ∠ QPN is ≅ to ∠ DPN vertical angles
- ∠ YQP is ≅ to ∠ NDP if two angles are congruent third angle
is also congruent.
Conclusion
ΔYPQ is similar to ΔNPD because of AA similarity.
Answer:
C
Step-by-step explanation:
We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.
3x+4y=8 Equation 1
2x+y=42 Equation 2
Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x
2(3x+4y=8)= 6x+8y=16 Equation 3
3(2x+y=42)= 6x+3y=126 Equation 4
Subtract equation 4 from 3, to eliminate x
6x-6x=0
8y-3y= 5y
16-126= -110
We now have 5y=-110
Divide both sides by 5,
y= -110/5
= -22
Substituting for y in equation 2
2x+(-22)= 42
2x= 42+22
2x=64
x= 64/2
= 32
(x, y)
(32, -22)
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
Answer choice B would result in no solution
Hope this helps ;)
Answer:
x+20
Step-by-step explanation:
As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.
So we plug everything in and we have 4x+5x=180 degrees
4x+5x=9x, so 9x=180
We divide by 9 on both sides to get the value of x, which is 20
Hope it helps!
