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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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Which solid has a greater volume?

Lady_Fox [76]

Answer:

Step-by-step explanation:

The volume of a cone is given by $V=\frac{1}{3}\pi r^2h$

The volume of a cylinder is given by $V=\pi r^2 h$

<em>Where h is the height and r is the radius</em>

The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:

$\frac{1}{3}\pi r^2 h\\\frac{1}{3}\pi (5)^2 (6)\\=157.08$

The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:

$\pi r^2 h\\\pi (1)^2 (50)\\=157.08$

We can see that they are equal. So answer choice C is right.

5 0

3 years ago

And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televi

vodomira [7]

X= weight of TV
y= weight of CD

3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:

3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.

Now plug y= 3.5 back into any equation to get x:

3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5

4 0

3 years ago

In exercises 1 and 2, Find the value of x.

Kruka [31]

From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

Now, since interior angles of any triangle add up to 180 degrees, we have