Mathematics College

I need help with this geometry math problem, I don’t quite understand ehe

Answers

Answer 1

Answer:

TRIANGLE!

Step-by-step explanation:

indeed that is a triangle

Answer 2

Answer:

A. 75

B. Explained below

Step-by-step explanation:

The symbol ~ means the two triangles are similar

Similar triangles have same angles and the sides are in proportion

so the ratio of each side of triangle 1 to the corresponding side of triangle 2 is the same

In ΔRST we see that it is a right triangle with hypotenuse 13 and base 5

So the height (RS) = √(13² - 5²) by the Pythagorean theorem

13² - 5² = 169 - 25 = 144

√144 = 12

So side RS = 12

Since the triangles are similar it follows that
[tex]\dfrac{AB}{RS} = \dfrac{BC}{ST} = \dfrac{AC}{RT}\\\\\\ \dfrac{BC}{ST} = \dfrac{12.5}{5} = 2.5\\\\\\[/tex]

So it follows that
[tex]\dfrac{AB}{RS} = 2.5\\\\AB = RS \times 2.5\\\\AB = 12 \times 2.5\\\\AB = 30\\\\[/tex]

Also

[tex]\dfrac{AC}{RT} = 2.5\\\\AC = RT \times 2.5 \\\\AC = 13 \times 2.5 \\\\AC = 32.5\\\\[/tex]

So the three sides of ΔABC are AB = 30, BC = 12.5 and AC = 32.5

The perimeter = 30 + 12.5 + 32.5

= 75

B. If we were given the three sides of ΔABC (as we found in Part A), then all we have to do is find the third side of ΔRST

We know the ratio

[tex]\dfrac{AB}{RS} = \dfrac{BC}{5} = \dfrac{12.5}{5} = 2.5\\\\So\\\\\\\\dfrac{AB}{RS} = 2.5\\\\[/tex]

Multiplying both sides by RS gives
[tex]AB = 2.5 \times RS\\\\\\\\== > 30 = 2.5 \times RS \\\\[/tex] (we found AB = 30 from part A)

Dividing both sides of the equation by 2.5 and switching sides gives
[tex]RS = \dfrac{30}{2.5} \\\\RS = 12\\\\[/tex]

So that gives the third side of ΔRST = 12 and we can find the perimeter if we wanted to by adding 12, 5 and 13 to get 30

Related Questions

Each side of a square floor tile is 182 mm long. Find the area of the square defined by one of these floor tiles.

Answers

Answer:

33124

Step-by-step explanation:

please rate as brainliest

-2x 8y = 14
2x+8y= -14
Solve by elimination

Answers

Answer: x=-7, y=0

Step-by-step explanation:

You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.

-2x+8y = 14

2x+8y= -14 --------> 16y=0

When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.

-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14

When you divide both sides by -2, you get x=-7.

Paddy spent $63.00 on three tickets to a concert. Javier spent $76 on four tickets. How much les per ticket did Javier pay compared to paddy. PLEASE HURRY

Answers

Answer:The answer is 2

no time for explonations

Evaluate the expression when x = -0.75.

1. -x
2. |x| - 0.75
3. 2 • (-x)
4. |x| + |x|

Answers

I THINK X IS 2) : -0.75

Four friends washed cars all day
on Saturday and earned $66.00.
They shared the work equally, so
they want to share the money they
earned equally. How much money
will each person get?
E

Answers

66.00 divided by 4 equals 16.5

To find out how much money each person will get, we can set up an equation:

$66.00 / 4

$66.00 / 4 = $16.50

Each friend will get $16.50.

Rectangle p q r s had vertices p(1, 4) q(6, 4) r(6, 1) and s(1, 1).without graphins find the new coordinates of the vertices of the rectangle after the reflection over the x axis and then another reflection over the y axis

Answers

The coordinates of the new vertices of the rectangle are P''(x, y) = (- 1, - 4), Q''(x, y) = (- 6, - 4), R''(x, y) = (- 6, - 1) and S''(x, y) = (- 1, - 1).

What are the coordinates of the vertices of the image of a rectangle?

In this question we find the coordinates of the four vertices of the rectangle, whose locations are described in the statement. Each point must be transformed by the following sequence of rigid transformations:

Reflection over the x-axis: P'(x, y) = P(x, y) + (0, - 2 · p)Reflection over the y-axis: P''(x, y) = P'(x, y) + (- 2 · p', 0)

If we know that P(x, y) = (1, 4), Q(x, y) = (6, 4), R(x, y) = (6, 1) and S(x, y) = (1, 1), then the locations of the images of the four vertices are:

P'(x, y) = (1, 4) + (0, - 8)

P'(x, y) = (1, - 4)

P''(x, y) = (1, - 4) + (- 2, 0)

P''(x, y) = (- 1, - 4)

Q'(x, y) = (6, 4) + (0, - 8)

Q'(x, y) = (6, - 4)

Q''(x, y) = (6, - 4) + (- 12, 0)

Q''(x, y) = (- 6, - 4)

R'(x, y) = (6, 1) + (0, - 2)

R'(x, y) = (6, - 1)

R''(x, y) = (6, - 1) + (- 12, 0)

R''(x, y) = (- 6, - 1)

S'(x, y) = (1, 1) + (0, - 2)

S'(x, y) = (1, - 1)

S''(x, y) = (1, - 1) + (- 2, 0)

S''(x, y) = (- 1, - 1)

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What are the correct answers?

Answers

Answer: The first 3 answers from the top

Step-by-step explanation:

What is the answer to 304✖️9

Answers

Answer:

2,736

Step-by-step explanation:

hope this helps! :)

10(v+3)-4v-2(3v+3)-9

Answers

Answer:

Step-by-step explanation:

Distribute where possible

10v + 30 - 4v -6v -6 -9

Combine like terms and do the math

Over 5 months, Carlos wrote 5 checks for a total of $335.75 to pay for his cable TV service. His cable bill is the same amount each month. What was the amount of the cable bill for one month of service?

Answers

Carlos pays monthly for his cable bill $67.15

How to calculate the monthly payment ?

For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.

The same amount is paid for the cable bill every month.

Therefore the amount paid every month can be calculated as follows

= 335.75/5

= 67.15

Hence the amount paid monthly for the cable bill is $67.15

Answers

Answer:

19 7/20 feet

Step-by-step explanation:

1. [tex]2\frac{5}{8}[/tex] pieces of wood

[tex]2\frac{5}{8} * 6 = 15\frac{3}{4}[/tex]

2. [tex]1\frac{1}{5}[/tex] pieces of wood

[tex]1\frac{1}{5} * 3 = 3\frac{3}{5}[/tex]

3. Combined

[tex]15\frac{3}{5} +3\frac{3}{5} = 19\frac{7}{20}[/tex]

Suppose we want to choose 7 letters, without replacement, from 9 distinct letters.

(a) How many ways can this be done, if the order of the choices is relevant?

(b) How many ways can this be done, if the order of the choices is not relevant?

Answers

The numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of ways can this be done, if the order of the choices is not relevant is 36 ways.

Number of possible ways

a. N permutations

N permutations = nPr = n!/ (n-r)!

N permutations = 9P7 = 9!/(9-7)!

N permutations = 9×8×7×6×5×4×3

N permutations= 181,440

b. N combinations :

N combinations = nCr = n!/((n-r)!r!)

N combinations = 9C7 = 9!/((9-7)!7!)

N combinations =9×8×7×6×5×4×3 ×2!/7!×2!

N combinations = 9×8×7×6×5×4×3 /7!

N combinations =181,440/7!

N combinations =36

Therefore the numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of ways can this be done, if the order of the choices is not relevant is 36 ways.

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Two numbers have these properties.
Both numbers are greater than 6.
•
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ..

Answers

With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

What are mathematical operations?An operation in mathematics is a function that takes zero or more input values and produces a well-defined output value. The operation's arity is determined by the number of operands. Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.

Two numbers with HCF 6 can be:

6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.

=> 6 × 60 = 6a × 6b=> 10 = abab = 1010 = 1 × 10 = 2 × 5a , b > 1

As a result, a and b can be 2 or 5.

The numbers are 6 × 2 and 6 × 5.

Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

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Suppose f(x) = - 2x² + 8x - 8. Compute the following:

A.) f(-1) + f(1) =

B.) f(1)-f(1) =

Answers

f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.

What is a function ?

A function can be thought of as an output for the given inputs.

According to the given question f(x) = -2x² + 8x - 8 we have to compute

A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.

f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }

f(-1) + f(1) = - 18 - 2.

f(-1) + f(1) = - 20.

B. f(1)-f(1) = 0 ( we don't need to calculate )

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13. Which products have 240 as a partial
product?
3 x 3,388
8 x 2,612
4 x 5,376
6 x 4,345
3 x 6,828

Answers

The products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345

How to determine the product expression that has 240 as a partial product?

The partial product is given as

240

Express 240 as a product of its factors

So, we have

240 = 1 * 240

240 = 2 * 120

240 = 3 * 80

240 = 4 * 60

240 = 5 * 48

240 = 6 * 40

240 = 9 * 30

Next, we test the options

3 x 3,388