MATHEMATICS HIGH SCHOOL

A) For ΔJKL use the Triangle Proportionality Theorem to solve for x. b) After you have solved for x, what is the Perimeter of ΔJKL?


(SHOW ALL YOUR WORK)
a) For ΔJKL use the Triangle Proportionality Theorem to solve - 1

Answers

Answer 1
Answer:

Answer:

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is 79\ units

Step-by-step explanation:

Part a) Find the value of x

we know that

The Triangle Proportionality Theorem, states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

(3x-5)/(3x-5+10)=(28-8)/(28)\n \n(3x-5)/(3x+5)=(20)/(28) \n \n(3x-5)(28)=(3x+5)(20) \n \n84x-140=60x+100\n \n84x-60x=140+100\n \n24x=240\n \nx=10

Part b) we know that

The perimeter of triangle JKL is equal to

P=JK+KL+JL

substitute the values

P=(3x+5)+28+16=3x+49

substitute the value of x

P=3(10)+49=79\ units

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Step-by-step explanation:

Answer:

Step-by-step explanation:

What is -3/5 x 5/16 x 7/12 ➗-3/16 x -5/7?

Answers

Answer:

-49/60.

Step-by-step explanation:

To simplify the expression -3/5 x 5/16 x 7/12 ÷ -3/16 x -5/7, we can follow these steps:

1. Multiply the numerators and denominators of all the fractions together:

(-3 x 5 x 7) / (5 x 16 x 12) ÷ (-3 x -5) / (16 x 7)

2. Simplify the multiplication of the numerators and denominators separately:

-105 / 960 ÷ 15 / 112

3. When dividing fractions, we can multiply by the reciprocal of the second fraction:

-105 / 960 x 112 / 15

4. Multiply the numerators and denominators together:

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5. Simplify the multiplication:

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6. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:

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Do i solve this problem with tan

Answers

Answer:

\tan(z) = (30)/(40) = (3)/(4)

A number increased by 10

Answers

Answer:

im pretty sure we need the previous value

Answer:

20

Step-by-step explanation:

just got it right on plato

How u write an inequality for brigitte is shorter than 5 feet (brigitte height =h)

Answers

You have said that Brigitte is shorter than 5 feet. Translating your statement into rigorous mathematical terminology, we would write "Brigitte's height is less than 5 feet.". Then, using 'h' to represent Brigitte's height, and '<' to represent the words "less than", we can write the statement symbolically as [ h < 5 feet ].

This set of points is on the graph of a function.{(−3, 9), (−1, 1), (0, 0), (2, 4)}

Which points are on the graph of the inverse?

Select each correct answer.

Answers

Answer: (9, -3), (1, -1), (0, 0), and (4, 2)

Step-by-step explanation:

Inverse is when the x's and y's are swapped:

The given points are: {(-3, 9), (-1, 1), (0, 0), (2, 4)}

The inverse points are: {(9, -3), (1, -1), (0, 0), (4, 2)}

Answer:

(9, -3), (1, -1), (0, 0) and (4, 2)

Step-by-step explanation:

The definition of an inverse of a function is "the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function."

This means too find the inverse of a function using ordered pairs, switch the x- and y-coordinates.

This means that (-3, 9) goes to (9, -3); (-1, 1) goes to (1, -1); (0, 0) goes to (0, 0); and (2, 4) goes to (4, 2).
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