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CaHeK987 [17]
3 years ago
13

Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

Mathematics
2 answers:
torisob [31]3 years ago
6 0
AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles
MakcuM [25]3 years ago
3 0
Ac congruent to ac by reflexive property
Triangle acd is congruent to triangle cab by side, side, side
Angle d is congruent to angle b by cpctc (corresponding parts of congruent triangles are congruent) hope this helpef
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A rectangular prism has a length of 7 inches and a width of 5 inches. The lateral area is 192 square inches. What is the height
Dennis_Churaev [7]

Answer:

I think it would be 5.49 as the height of the prism.

Step-by-step explanation:

I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!

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What minus 9 equals 11
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20

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20 - 9 = 11

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You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introdu
mariarad [96]

Answer:

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Step-by-step explanation:

Each Calculus text returns $10/2 = $5 per unit of shelf space. For History and Marketing texts, the respective numbers are $4/1 = $4 per unit, and $8/4 = $2 per unit. Using 1200 units of shelf space for 600 Calculus texts returns ...

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3 years ago
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There are fewer people on the bus.
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d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)
SIZIF [17.4K]

Answer:

a = -0.32

b = 16

c = - 168

Step-by-step explanation:

In the figure attached, the quadratic function is shown. We can model it as follows:

y = a*(x - x1)*(x - x2)

where (x1, 0) and (x2, 0) are its roots

From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:

y = a*(x - 15)*(x - 35)

and the vertex is at (25,32), replacing into the equation:

32 = a*(25 - 15)*(25 - 35)

32 = a*(-100)

a = 32/(-100)

a = -0.32

Applying distributive property:

y = -0.32*(x - 15)*(x - 35)

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y = -0.32x² + 16x - 168

which corresponds to the general form:

y = ax² + bx + c

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