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3 years ago

Determine whether each pair of triangles is similar. Justify your answer.

Mathematics

2 answers:

tresset_1 [31]3 years ago

7 0

M<J = m<N ( alternate angles)
m<K = m<M ( alternate angles)

so the third angles must also be equal ( total 180 degrees in each triangle)

Therefor the triangles are similar

myrzilka [38]3 years ago

3 0

Answer with Step-by-step explanation:

We are given that

MN is parallel to JK

In triangle MLN and triangle JLK

Angle JKL=Angle NML

Reason:Alternate interior angles

Angle MNL=Angle KJL

Reason:Alternate interior angles

Triangle MLN is similar to triangle JLK

Reason: By AA postulate

Yes, two triangles JLK and triangle KLN are similar.

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4 7/8 + (-6 1/4) how do I find common denominators?

xxTIMURxx [149]

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3 years ago

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

Dedi had a combination lock.To open the lock he started at 37.He made 3 half turns clockwise and 3 quarter turns anticlockwise

Lerok [7]

Turning clockwise means the number increase, and counterclockwise means the number decreases

Therefore your answer is 37 + (3*1/2)-(3*1/4)

= 37.75

Hope this helped :)

5 0

1 year ago

kow [346]

Similarity ratio is a ratio of two figures having the same side.

Ratio can be rate but rate can never be ratio. In essence, rate is comparison between ratios. While ratio is comparison between two or more numbers. Further, ratio on one hand, involves numbers either in amount, size, measurement, degrees, percentages or fractions with the absence of specific unit of measurement. On the contrary, rate is comparing quantities, amounts or unit of events happened expressed in a specific measurement or expressed under time. Take for instance, an example, Joe eats 2 while John eats 4 meals in a day. The ratio can be Joe: John, 2:4 meals. While the rate, is Joe eats 2 meals/day and John 4 meals/day.

7 0

2 years ago

Two Algebra questions^^^

guapka [62]

5 = c. infinite.
6 = I don't know. sorry!!
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4 0

2 years ago