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3 years ago

(a) What additional information is needed to prove the triangles are congruent by SAS Postulate? Explain.

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

Answer:

A. You also need to know that CA is congruent to LJ to prove the triangles are congruent by the SAS postulate.

B. You need to know that CB is congruent to LK to prove the triangles are congruent by the HL theorem.

Step-by-step explanation:

A. You only have one side and one angle in each triangle that are congruent. To prove the triangles are congruent by the Side Angle Side postulate, you need the other side (or other leg) next to the angle to be congruent as well (in both triangles).

B. The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are congruent triangles. To prove this, you need to know that the hypotenuse in both triangles are congruent to one another.

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Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?

aniked [119]

Answer:ANSWER: $35 + (-$7) + (-$5)

Step-by-step explanation:

Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)

$35 + (-$7) + (-$5)

Hope this helps! :)

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3 years ago

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PLEASE HELP ME!!!!!! CLICK ON THIS PLEASE

Serhud [2]

Answer:

a) ok, heres what u graph, and ur ordered pairs

graph the following points:

(0,0) (1,5) (2,10) (3,15) (4,20) (5,25) (6,30) (7,35), and so on

b) One of the ordered pairs I can use is (1,5). This is beacuse the ordered pair explains that for every video game (x), 5 will be the cost (y).

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3 years ago

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6x-5y=15 x=y+3 find x and y

arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x: 6(y + 3) - 5y = 15
Distribute 6: 6y + 18 - 5y = 15
Combine like terms: y + 18 = 15
[Subtraction Property of Equality] Subtract 18 on both sides: y = -3

Step 3: Solve for x

Define original equation: x = y + 3
Substitute in y: x = -3 + 3
Add: x = 0

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3 years ago

Geometry Helps please (Only correct Answers only please) Thank you very much.

Levart [38]

<h3>Exact Answer: (160/3)pi</h3><h3>Approximate Answer: 167.47</h3>

The approximate answer results when you use pi = 3.14, and this approximate answer is rounded to two decimal places

note that (160/3)pi is the same as 160pi/3

========================================================

Work Shown:

r = radius = 4

h = height = 10

V = volume of cone

V = (1/3)pi*r^2*h

V = (1/3)pi*4^2*10

V = (160/3)pi exact answer

V = (160/3)*3.14

V = 167.46666....

V = 167.47 approximate answer rounded to two decimal places

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4 years ago

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VikaD [51]

Answer:

(15x + 120) ft³

15(x + 8) ft³

Step-by-step explanation:

The prism can be decomposed into a rectangular prism and a triangular prism

The volume of the prism = volume of the rectangular prism + volume of the triangular prism

✔️Volume of rectangular prism = L*W*H

L = 5 ft

W = 4 ft

H = 6 ft

Volume = 5*4*6 = 120 ft³

✔️Volume of triangular prism = ½*b*h*l

b = x ft

h = 6 ft

l = 5 ft

Volume = ½*x*6*5 = 15x ft³

✔️Volume of the prism = (15x + 120) ft³

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3 years ago