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3 years ago

What is the value of x? Enter your answer in the box. _____ units

Mathematics

2 answers:

krek1111 [17]3 years ago

6 0

Answer:

x=28

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem. Put the side of the small triangle over the same side of the larger triangle.

x 42

---------- = ----------

x+10 42+15

Simplify

x 42

---------- = ----------

x+10 57

Using cross products

57x = 42 (x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x +420

15x = 420

Divide each side by 15

15x/15 = 420/15

x=28

MariettaO [177]3 years ago

5 0

Answer: The value of x is 28 units.

Step-by-step explanation:

Since we have given that

DC ║ PA

So, By Basic Proportionate theorem, if a line drawn parallel to the third side and intersect the other two sides, then the other two sides are divided into same ratio.

So, it becomes,

$\frac{RC}{CA}=\frac{RD}{DP}\\\\\frac{x}{10}=\frac{42}{15}\\\\15\times x=10\times 42\\\\x=\frac{420}{15}=28\\\\x=28$

Hence, the value of x is 28 units.

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A farm is divided into 9 equal sections. Five sections are full of vegetables. What fraction of the farm is not full of vegetabl

zhuklara [117]

Answer:4/9

Step-by-step explanation:

3 0

3 years ago

A hubcap has a radius of 12 centimeters. What is the area of the hubcap? Round your answer to the nearest hundredth. Use 3.14 fo

lana66690 [7]

Answer:

The area of hub cap is 452.16 square centimeters.

Step-by-step explanation:

We are given the following in the question:

Radius of hubcap = 12 cm

A hubcap is of the shape of circle.

Area of hubcap = Area of circle

Area of hubcap =

$\pi r^2$

where r is the radius of the hubcap.

Putting the values, we get,

$\pi r^2\\= 3.14\times (12)^2\\= 452.16 \text{ square centimeter}$

Thus, the area of hub cap is 452.16 square centimeters.

8 0

4 years ago

What is the inverse of the function f(x) = 2x + 17

IgorC [24]

To find the inverse of a function switch the place of y (aka f(x) ) with x. Then solve for y.

Original equation:

y = 2x + 17

Switched:

x = 2y + 17

Solve for y by isolating it:

x - 17 = 2y + 17 - 17

x - 17 = 2y

(x - 17)/2 = 2y/2

$\frac{1}{2}x-\frac{17}{2}= y$

Hope this helped!

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8 0

4 years ago

11. Which matrix represents the system of equations below?

dimulka [17.4K]

Answer:

$\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]$

Step-by-step explanation:

The system of equations is;

-12x-13y +13z =15

7x-10y-3z = 11

7x+14y +5z = -5

The coefficient matrix is $\left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]$

The constant matrix is $\left[\begin{array}{c}15\\11\\-5\end{array}\right]$

The augmented matrix is $\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]$

4 0

4 years ago

Cannot solve this question need help asap

Schach [20]

P(0,0) and R(2b, 2c)

Midpoint:

x = (x1+x2)/2 and y=(y1+y2)/2

Midpoint PR

x = (0 + 2b)/2

= 2b/2

y = (0 + 2c)/2

=2c/2

Midpoint PR (b,c)

Answer is the last one

(b,c)

3 0

3 years ago