Answer:
A) 52 units
Step-by-step explanation:
The length of a line joining 2 points on a number line is given by the difference between the co-ordinates of the 2 points.
Therefore PQ= ![\left ( Q \right )-\left ( P \right )= \left ( -24 \right )-\left ( -76 \right )= 52](https://tex.z-dn.net/?f=%5Cleft%20%28%20Q%20%5Cright%20%29-%5Cleft%20%28%20P%20%5Cright%20%29%3D%20%5Cleft%20%28%20-24%20%5Cright%20%29-%5Cleft%20%28%20-76%20%5Cright%20%29%3D%2052)
Hence the length of the line is 52 units
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello,
![(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%3D3x-5-%28x%5E2-5x%2B4%29%5C%5C%5C%5C%3D3x-5-x%5E2%2B5x-4%5C%5C%5C%5C%3D-x%5E2%2B8x-9)
Thanks
Answer:
62.5
Step-by-step explanation:
P = (6.50f) - 100
All you have to do is plug in 25 for f in the equation and solve for P.
P = (6.50*25) - 100
P = 162.5 - 100
P = 62.5
Step-by-step explanation:
Statement:
2-) ∠BAC = ∠EDC
<em>Reason:</em>
Angles opposite to equal sides of a triangle are equal (Alternate Interior Angles Theorem)
Statement:
3-) AC = CD
<em>Reason:</em>
CPCTC ("Corresponding Parts of Congruent Triangles are Congruent")
Statement:
4-) ∠BCA = ∠DCE
<em>Reason:</em>
Vertical Angles Theorem (states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent)
Statement:
5-) triangle ABC = triangle DEC
ASA Postulate
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)
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